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< li class = " current" data-id = "github.com/watzon/apatite/Apatite/LinearAlgebra/Matrix" data-name = "apatite::linearalgebra::matrix" >
< a href = "../../Apatite/LinearAlgebra/Matrix.html" > Matrix< / a >
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< a href = "../../Apatite/LinearAlgebra/NDArray.html" > NDArray< / a >
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< a href = "../../Apatite/LinearAlgebra/Vector.html" > Vector< / a >
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< a href = "../../Array.html" > Array< / a >
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< h1 class = "type-name" >
< span class = "kind" > class< / span > Apatite::LinearAlgebra::Matrix
< / h1 >
< ul class = "superclass-hierarchy" > < li class = "superclass" > < a href = "../../Apatite/LinearAlgebra/Matrix.html" > Apatite::LinearAlgebra::Matrix< / a > < / li > < li class = "superclass" > Reference< / li > < li class = "superclass" > Object< / li > < / ul >
< h2 > Included Modules< / h2 >
< ul class = "other-types-list" >
< li class = "other-type" > Comparable(< a href = "../../Apatite/LinearAlgebra/Matrix.html" > Apatite::LinearAlgebra::Matrix< / a > )< / li >
< li class = "other-type" > Enumerable(< a href = "../../Apatite/LinearAlgebra/Vector.html" > Apatite::LinearAlgebra::Vector< / a > )< / li >
< li class = "other-type" > Indexable(< a href = "../../Apatite/LinearAlgebra/Vector.html" > Apatite::LinearAlgebra::Vector< / a > )< / li >
< / ul >
< h2 > Defined in:< / h2 >
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< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L4" target = "_blank" >
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apatite/linear_algebra/matrix.cr
< / a >
< br / >
< h2 > Constructors< / h2 >
< ul class = "list-summary" >
< li class = "entry-summary" >
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< a href = "#new%28rows%2Ccolumn_count%3AInt32%3F%3Dnil%29-class-method" class = "signature" > < strong > .new< / strong > (rows, column_count : Int32? = < span class = "n" > nil< / span > )< / a >
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< / li >
< / ul >
< h2 > Class Method Summary< / h2 >
< ul class = "list-summary" >
< li class = "entry-summary" >
< a href = "#%5B%5D%28%2Arows%29-class-method" class = "signature" > < strong > .[]< / strong > (*rows)< / a >
< div class = "summary" > < p > Creates a matrix where each argument is a row.< / p > < / div >
< / li >
< li class = "entry-summary" >
< a href = "#build%28row_count%2Ccolumn_count%3Drow_count%2C%26block%29-class-method" class = "signature" > < strong > .build< / strong > (row_count, column_count = row_count, & block)< / a >
< div class = "summary" > < p > Creates a matrix of size < code > row_count x column_count< / code > .< / p > < / div >
< / li >
< li class = "entry-summary" >
< a href = "#col_vector%28column%29-class-method" class = "signature" > < strong > .col_vector< / strong > (column)< / a >
< div class = "summary" > < p > Creates a single-column matrix where the values of that column are as given in column.< / p > < / div >
< / li >
< li class = "entry-summary" >
< a href = "#columns%28columns%29-class-method" class = "signature" > < strong > .columns< / strong > (columns)< / a >
< div class = "summary" > < p > Creates a matrix using < code > < a href = "../../Apatite/LinearAlgebra/Matrix.html#columns%28columns%29-class-method" > .columns< / a > < / code > as an array of column vectors.< / p > < / div >
< / li >
< li class = "entry-summary" >
< a href = "#diagonal%28values%29-class-method" class = "signature" > < strong > .diagonal< / strong > (values)< / a >
< div class = "summary" > < p > Creates a matrix where the diagonal elements are composed of < code > values< / code > .< / p > < / div >
< / li >
< li class = "entry-summary" >
< a href = "#diagonal%28%2Avalues%29-class-method" class = "signature" > < strong > .diagonal< / strong > (*values)< / a >
< div class = "summary" > < p > Creates a matrix where the diagonal elements are composed of < code > values< / code > .< / p > < / div >
< / li >
< li class = "entry-summary" >
< a href = "#empty%28row_count%3D0%2Ccolumn_count%3D0%29-class-method" class = "signature" > < strong > .empty< / strong > (row_count = < span class = "n" > 0< / span > , column_count = < span class = "n" > 0< / span > )< / a >
< div class = "summary" > < p > Creates a empty matrix of < code > row_count x column_count< / code > .< / p > < / div >
< / li >
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< li class = "entry-summary" >
< a href = "#eye%28n%29-class-method" class = "signature" > < strong > .eye< / strong > (n)< / a >
< div class = "summary" > < p > Creates a new diagonal matrix of size < code > n< / code > with ones in the diagonal and zeros elsewhere.< / p > < / div >
< / li >
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< li class = "entry-summary" >
< a href = "#hstack%28x%2C%2Amatrices%29-class-method" class = "signature" > < strong > .hstack< / strong > (x, *matrices)< / a >
< div class = "summary" > < p > < span class = "flag orange" > TODO< / span > < / p > < / div >
< / li >
< li class = "entry-summary" >
< a href = "#identity%28n%29-class-method" class = "signature" > < strong > .identity< / strong > (n)< / a >
< div class = "summary" > < p > Creates a < code > n x n< / code > identity matrix.< / p > < / div >
< / li >
< li class = "entry-summary" >
< a href = "#row_vector%28row%29-class-method" class = "signature" > < strong > .row_vector< / strong > (row)< / a >
< div class = "summary" > < p > Creates a single-row matrix where the values of that row are as given in < code > < a href = "../../Apatite/LinearAlgebra/Matrix.html#row%28i%2C%26block%29-instance-method" > #row< / a > < / code > .< / p > < / div >
< / li >
< li class = "entry-summary" >
< a href = "#rows%28rows%29-class-method" class = "signature" > < strong > .rows< / strong > (rows)< / a >
< div class = "summary" > < p > Creates a matrix where rows is an array of arrays, each of which is a row of the matrix.< / p > < / div >
< / li >
< li class = "entry-summary" >
< a href = "#scalar%28n%2Cvalue%29-class-method" class = "signature" > < strong > .scalar< / strong > (n, value)< / a >
< div class = "summary" > < p > Creates an < code > n< / code > by < code > n< / code > diagonal matrix where each diagonal element is value.< / p > < / div >
< / li >
< li class = "entry-summary" >
< a href = "#vstack%28x%2Cy%29-class-method" class = "signature" > < strong > .vstack< / strong > (x, y)< / a >
< div class = "summary" > < p > < span class = "flag orange" > TODO< / span > < / p > < / div >
< / li >
< li class = "entry-summary" >
< a href = "#zero%28row_count%2Ccolumn_count%3Drow_count%29-class-method" class = "signature" > < strong > .zero< / strong > (row_count, column_count = row_count)< / a >
< div class = "summary" > < p > Creates a zero matrix.< / p > < / div >
< / li >
< / ul >
< h2 > Instance Method Summary< / h2 >
< ul class = "list-summary" >
< li class = "entry-summary" >
< a href = "#%2A%28other%3AMatrix%29-instance-method" class = "signature" > < strong > #*< / strong > (other : Matrix)< / a >
< / li >
< li class = "entry-summary" >
< a href = "#%2A%28int%3AInt%29-instance-method" class = "signature" > < strong > #*< / strong > (int : Int)< / a >
< / li >
< li class = "entry-summary" >
< a href = "#%2A%28ind%3AIndexable%29-instance-method" class = "signature" > < strong > #*< / strong > (ind : Indexable)< / a >
< / li >
< li class = "entry-summary" >
< a href = "#%2A%2A%28int%29-instance-method" class = "signature" > < strong > #**< / strong > (int)< / a >
< / li >
< li class = "entry-summary" >
< a href = "#%2B%28other%3AMatrix%29-instance-method" class = "signature" > < strong > #+< / strong > (other : Matrix)< / a >
< / li >
< li class = "entry-summary" >
< a href = "#%2B%28vec%3AIndexable%29-instance-method" class = "signature" > < strong > #+< / strong > (vec : Indexable)< / a >
< / li >
< li class = "entry-summary" >
< a href = "#-%28vec%3AIndexable%29-instance-method" class = "signature" > < strong > #-< / strong > (vec : Indexable)< / a >
< / li >
< li class = "entry-summary" >
< a href = "#-%28other%3AMatrix%29-instance-method" class = "signature" > < strong > #-< / strong > (other : Matrix)< / a >
< / li >
< li class = "entry-summary" >
< a href = "#%2F%28other%3AMatrix%29-instance-method" class = "signature" > < strong > #/< / strong > (other : Matrix)< / a >
< / li >
< li class = "entry-summary" >
< a href = "#%2F%28vec%3AIndexable%29-instance-method" class = "signature" > < strong > #/< / strong > (vec : Indexable)< / a >
< / li >
< li class = "entry-summary" >
< a href = "#%3D%3D%28other%3AMatrix%29-instance-method" class = "signature" > < strong > #==< / strong > (other : Matrix)< / a >
< / li >
< li class = "entry-summary" >
< a href = "#%5B%5D%28row%3AInt%2Ccol%3AInt%29-instance-method" class = "signature" > < strong > #[]< / strong > (row : Int, col : Int)< / a >
< div class = "summary" > < p > Returns element < code > (row, col)< / code > of the matrix.< / p > < / div >
< / li >
< li class = "entry-summary" >
< a href = "#%5B%5D%3F%28row%3AInt%2Ccol%3AInt%29-instance-method" class = "signature" > < strong > #[]?< / strong > (row : Int, col : Int)< / a >
< div class = "summary" > < p > Returns element < code > (row, col)< / code > of the matrix, or nil if the index is not found.< / p > < / div >
< / li >
< li class = "entry-summary" >
< a href = "#adjugate-instance-method" class = "signature" > < strong > #adjugate< / strong > < / a >
< div class = "summary" > < p > Returns the adjugate of the matrix.< / p > < / div >
< / li >
< li class = "entry-summary" >
< a href = "#cofactor%28row%2Ccolumn%29-instance-method" class = "signature" > < strong > #cofactor< / strong > (row, column)< / a >
< div class = "summary" > < p > Returns the (row, column) cofactor which is obtained by multiplying the first minor by (-1)**(row + column)< / p > < / div >
< / li >
< li class = "entry-summary" >
< a href = "#column%28j%2C%26block%29-instance-method" class = "signature" > < strong > #column< / strong > (j, & block)< / a >
< div class = "summary" > < p > Iterates over the specified column in the matrix, returning the Vector's items.< / p > < / div >
< / li >
< li class = "entry-summary" >
< a href = "#column%28j%29-instance-method" class = "signature" > < strong > #column< / strong > (j)< / a >
< div class = "summary" > < p > Returns column vector number < code > j< / code > of the matrix as a < code > < a href = "../../Apatite/LinearAlgebra/Vector.html" > Vector< / a > < / code > (starting at 0 like an array).< / p > < / div >
< / li >
< li class = "entry-summary" >
< a href = "#column%3F%28j%29-instance-method" class = "signature" > < strong > #column?< / strong > (j)< / a >
< div class = "summary" > < p > Returns column vector number < code > j< / code > of the matrix as a < code > < a href = "../../Apatite/LinearAlgebra/Vector.html" > Vector< / a > < / code > (starting at 0 like an array).< / p > < / div >
< / li >
< li class = "entry-summary" >
< a href = "#column_count%3AInt32-instance-method" class = "signature" > < strong > #column_count< / strong > : Int32< / a >
< / li >
< li class = "entry-summary" >
< a href = "#column_vectors-instance-method" class = "signature" > < strong > #column_vectors< / strong > < / a >
< div class = "summary" > < p > Returns an array of the column vectors of the matrix.< / p > < / div >
< / li >
< li class = "entry-summary" >
< a href = "#determinant-instance-method" class = "signature" > < strong > #determinant< / strong > < / a >
< / li >
< li class = "entry-summary" >
< a href = "#first_minor%28row%2Ccolumn%29-instance-method" class = "signature" > < strong > #first_minor< / strong > (row, column)< / a >
< / li >
< li class = "entry-summary" >
< a href = "#inverse-instance-method" class = "signature" > < strong > #inverse< / strong > < / a >
< div class = "summary" > < p > Returns the inverse of the matrix.< / p > < / div >
< / li >
< li class = "entry-summary" >
< a href = "#laplace_expansion%28%2A%2Crow%3Dnil%2Ccolumn%3Dnil%29-instance-method" class = "signature" > < strong > #laplace_expansion< / strong > (*, row = < span class = "n" > nil< / span > , column = < span class = "n" > nil< / span > )< / a >
< div class = "summary" > < p > Returns the Laplace expansion along given row or column.< / p > < / div >
< / li >
< li class = "entry-summary" >
< a href = "#pretty_print%28pp%29%3ANil-instance-method" class = "signature" > < strong > #pretty_print< / strong > (pp) : Nil< / a >
< / li >
< li class = "entry-summary" >
< a href = "#row%28i%2C%26block%29-instance-method" class = "signature" > < strong > #row< / strong > (i, & block)< / a >
< / li >
< li class = "entry-summary" >
< a href = "#row%28i%29-instance-method" class = "signature" > < strong > #row< / strong > (i)< / a >
< / li >
< li class = "entry-summary" >
< a href = "#row_count%3AInt32-instance-method" class = "signature" > < strong > #row_count< / strong > : Int32< / a >
< / li >
< li class = "entry-summary" >
< a href = "#rows-instance-method" class = "signature" > < strong > #rows< / strong > < / a >
< / li >
< li class = "entry-summary" >
< a href = "#square%3F-instance-method" class = "signature" > < strong > #square?< / strong > < / a >
< / li >
< li class = "entry-summary" >
< a href = "#to_s%28io%29-instance-method" class = "signature" > < strong > #to_s< / strong > (io)< / a >
< / li >
< li class = "entry-summary" >
< a href = "#transpose-instance-method" class = "signature" > < strong > #transpose< / strong > < / a >
< / li >
< li class = "entry-summary" >
< a href = "#unsafe_fetch%28index%3AInt%29-instance-method" class = "signature" > < strong > #unsafe_fetch< / strong > (index : Int)< / a >
< / li >
< / ul >
< div class = "methods-inherited" >
< / div >
< h2 > Constructor Detail< / h2 >
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< div class = "entry-detail" id = "new(rows,column_count:Int32?=nil)-class-method" >
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< div class = "signature" >
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def self.< strong > new< / strong > (rows, column_count : Int32? = < span class = "n" > nil< / span > )
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< a class = "method-permalink" href = "#new%28rows%2Ccolumn_count%3AInt32%3F%3Dnil%29-class-method" > #< / a >
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< / div >
< br / >
< div >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L15" target = "_blank" > View source< / a > ]
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< / div >
< / div >
< h2 > Class Method Detail< / h2 >
< div class = "entry-detail" id = "[](*rows)-class-method" >
< div class = "signature" >
def self.< strong > []< / strong > (*rows)
< a class = "method-permalink" href = "#%5B%5D%28%2Arows%29-class-method" > #< / a >
< / div >
< div class = "doc" > < p > Creates a matrix where each argument is a row.< / p > < / div >
< br / >
< div >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L22" target = "_blank" > View source< / a > ]
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< / div >
< / div >
< div class = "entry-detail" id = "build(row_count,column_count=row_count,&block)-class-method" >
< div class = "signature" >
def self.< strong > build< / strong > (row_count, column_count = row_count, & block)
< a class = "method-permalink" href = "#build%28row_count%2Ccolumn_count%3Drow_count%2C%26block%29-class-method" > #< / a >
< / div >
< div class = "doc" > < p > Creates a matrix of size < code > row_count x column_count< / code > . It fills the values by calling
the given block, passing the current row and column.< / p > < / div >
< br / >
< div >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L28" target = "_blank" > View source< / a > ]
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< / div >
< / div >
< div class = "entry-detail" id = "col_vector(column)-class-method" >
< div class = "signature" >
def self.< strong > col_vector< / strong > (column)
< a class = "method-permalink" href = "#col_vector%28column%29-class-method" > #< / a >
< / div >
< div class = "doc" > < p > Creates a single-column matrix where the values of that column are as given in column.< / p > < / div >
< br / >
< div >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L39" target = "_blank" > View source< / a > ]
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< / div >
< / div >
< div class = "entry-detail" id = "columns(columns)-class-method" >
< div class = "signature" >
def self.< strong > columns< / strong > (columns)
< a class = "method-permalink" href = "#columns%28columns%29-class-method" > #< / a >
< / div >
< div class = "doc" > < p > Creates a matrix using < code > < a href = "../../Apatite/LinearAlgebra/Matrix.html#columns%28columns%29-class-method" > .columns< / a > < / code > as an array of column vectors.< / p > < / div >
< br / >
< div >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L44" target = "_blank" > View source< / a > ]
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< / div >
< / div >
< div class = "entry-detail" id = "diagonal(values)-class-method" >
< div class = "signature" >
def self.< strong > diagonal< / strong > (values)
< a class = "method-permalink" href = "#diagonal%28values%29-class-method" > #< / a >
< / div >
< div class = "doc" > < p > Creates a matrix where the diagonal elements are composed of < code > values< / code > .< / p > < / div >
< br / >
< div >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L70" target = "_blank" > View source< / a > ]
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< / div >
< / div >
< div class = "entry-detail" id = "diagonal(*values)-class-method" >
< div class = "signature" >
def self.< strong > diagonal< / strong > (*values)
< a class = "method-permalink" href = "#diagonal%28%2Avalues%29-class-method" > #< / a >
< / div >
< div class = "doc" > < p > Creates a matrix where the diagonal elements are composed of < code > values< / code > .< / p > < / div >
< br / >
< div >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L84" target = "_blank" > View source< / a > ]
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< / div >
< / div >
< div class = "entry-detail" id = "empty(row_count=0,column_count=0)-class-method" >
< div class = "signature" >
def self.< strong > empty< / strong > (row_count = < span class = "n" > 0< / span > , column_count = < span class = "n" > 0< / span > )
< a class = "method-permalink" href = "#empty%28row_count%3D0%2Ccolumn_count%3D0%29-class-method" > #< / a >
< / div >
< div class = "doc" > < p > Creates a empty matrix of < code > row_count x column_count< / code > . At least one of
< code > < a href = "../../Apatite/LinearAlgebra/Matrix.html#row_count%3AInt32-instance-method" > #row_count< / a > < / code > or < code > < a href = "../../Apatite/LinearAlgebra/Matrix.html#column_count%3AInt32-instance-method" > #column_count< / a > < / code > must be 0.< / p > < / div >
< br / >
< div >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L90" target = "_blank" > View source< / a > ]
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< / div >
< / div >
< div class = "entry-detail" id = "eye(n)-class-method" >
< div class = "signature" >
def self.< strong > eye< / strong > (n)
< a class = "method-permalink" href = "#eye%28n%29-class-method" > #< / a >
< / div >
< div class = "doc" > < p > Creates a new diagonal matrix of size < code > n< / code > with ones in the diagonal
and zeros elsewhere.< / p > < / div >
< br / >
< div >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L98" target = "_blank" > View source< / a > ]
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< / div >
< / div >
< div class = "entry-detail" id = "hstack(x,*matrices)-class-method" >
< div class = "signature" >
def self.< strong > hstack< / strong > (x, *matrices)
< a class = "method-permalink" href = "#hstack%28x%2C%2Amatrices%29-class-method" > #< / a >
< / div >
< div class = "doc" > < p > < span class = "flag orange" > TODO< / span > < / p > < / div >
< br / >
< div >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L103" target = "_blank" > View source< / a > ]
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< / div >
< / div >
< div class = "entry-detail" id = "identity(n)-class-method" >
< div class = "signature" >
def self.< strong > identity< / strong > (n)
< a class = "method-permalink" href = "#identity%28n%29-class-method" > #< / a >
< / div >
< div class = "doc" > < p > Creates a < code > n x n< / code > identity matrix.< / p > < / div >
< br / >
< div >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L107" target = "_blank" > View source< / a > ]
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< / div >
< / div >
< div class = "entry-detail" id = "row_vector(row)-class-method" >
< div class = "signature" >
def self.< strong > row_vector< / strong > (row)
< a class = "method-permalink" href = "#row_vector%28row%29-class-method" > #< / a >
< / div >
< div class = "doc" > < p > Creates a single-row matrix where the values of that row are as given in < code > < a href = "../../Apatite/LinearAlgebra/Matrix.html#row%28i%2C%26block%29-instance-method" > #row< / a > < / code > .< / p > < / div >
< br / >
< div >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L112" target = "_blank" > View source< / a > ]
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< / div >
< / div >
< div class = "entry-detail" id = "rows(rows)-class-method" >
< div class = "signature" >
def self.< strong > rows< / strong > (rows)
< a class = "method-permalink" href = "#rows%28rows%29-class-method" > #< / a >
< / div >
< div class = "doc" > < p > Creates a matrix where rows is an array of arrays, each of which is a row of the matrix.< / p > < / div >
< br / >
< div >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L117" target = "_blank" > View source< / a > ]
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< / div >
< / div >
< div class = "entry-detail" id = "scalar(n,value)-class-method" >
< div class = "signature" >
def self.< strong > scalar< / strong > (n, value)
< a class = "method-permalink" href = "#scalar%28n%2Cvalue%29-class-method" > #< / a >
< / div >
< div class = "doc" > < p > Creates an < code > n< / code > by < code > n< / code > diagonal matrix where each diagonal element is value.< / p > < / div >
< br / >
< div >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L126" target = "_blank" > View source< / a > ]
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< / div >
< / div >
< div class = "entry-detail" id = "vstack(x,y)-class-method" >
< div class = "signature" >
def self.< strong > vstack< / strong > (x, y)
< a class = "method-permalink" href = "#vstack%28x%2Cy%29-class-method" > #< / a >
< / div >
< div class = "doc" > < p > < span class = "flag orange" > TODO< / span > < / p > < / div >
< br / >
< div >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L131" target = "_blank" > View source< / a > ]
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< / div >
< / div >
< div class = "entry-detail" id = "zero(row_count,column_count=row_count)-class-method" >
< div class = "signature" >
def self.< strong > zero< / strong > (row_count, column_count = row_count)
< a class = "method-permalink" href = "#zero%28row_count%2Ccolumn_count%3Drow_count%29-class-method" > #< / a >
< / div >
< div class = "doc" > < p > Creates a zero matrix.< / p > < / div >
< br / >
< div >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L135" target = "_blank" > View source< / a > ]
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< / div >
< / div >
< h2 > Instance Method Detail< / h2 >
< div class = "entry-detail" id = "*(other:Matrix)-instance-method" >
< div class = "signature" >
def < strong > *< / strong > (other : < a href = "../../Apatite/LinearAlgebra/Matrix.html" > Matrix< / a > )
< a class = "method-permalink" href = "#%2A%28other%3AMatrix%29-instance-method" > #< / a >
< / div >
< br / >
< div >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L140" target = "_blank" > View source< / a > ]
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< / div >
< / div >
< div class = "entry-detail" id = "*(int:Int)-instance-method" >
< div class = "signature" >
def < strong > *< / strong > (int : Int)
< a class = "method-permalink" href = "#%2A%28int%3AInt%29-instance-method" > #< / a >
< / div >
< br / >
< div >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L154" target = "_blank" > View source< / a > ]
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< / div >
< / div >
< div class = "entry-detail" id = "*(ind:Indexable)-instance-method" >
< div class = "signature" >
def < strong > *< / strong > (ind : Indexable)
< a class = "method-permalink" href = "#%2A%28ind%3AIndexable%29-instance-method" > #< / a >
< / div >
< br / >
< div >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L161" target = "_blank" > View source< / a > ]
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< / div >
< / div >
< div class = "entry-detail" id = "**(int)-instance-method" >
< div class = "signature" >
def < strong > **< / strong > (int)
< a class = "method-permalink" href = "#%2A%2A%28int%29-instance-method" > #< / a >
< / div >
< br / >
< div >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L167" target = "_blank" > View source< / a > ]
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< / div >
< / div >
< div class = "entry-detail" id = "+(other:Matrix)-instance-method" >
< div class = "signature" >
def < strong > +< / strong > (other : < a href = "../../Apatite/LinearAlgebra/Matrix.html" > Matrix< / a > )
< a class = "method-permalink" href = "#%2B%28other%3AMatrix%29-instance-method" > #< / a >
< / div >
< br / >
< div >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L176" target = "_blank" > View source< / a > ]
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< / div >
< / div >
< div class = "entry-detail" id = "+(vec:Indexable)-instance-method" >
< div class = "signature" >
def < strong > +< / strong > (vec : Indexable)
< a class = "method-permalink" href = "#%2B%28vec%3AIndexable%29-instance-method" > #< / a >
< / div >
< br / >
< div >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L188" target = "_blank" > View source< / a > ]
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< / div >
< / div >
< div class = "entry-detail" id = "-(vec:Indexable)-instance-method" >
< div class = "signature" >
def < strong > -< / strong > (vec : Indexable)
< a class = "method-permalink" href = "#-%28vec%3AIndexable%29-instance-method" > #< / a >
< / div >
< br / >
< div >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L205" target = "_blank" > View source< / a > ]
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< / div >
< / div >
< div class = "entry-detail" id = "-(other:Matrix)-instance-method" >
< div class = "signature" >
def < strong > -< / strong > (other : < a href = "../../Apatite/LinearAlgebra/Matrix.html" > Matrix< / a > )
< a class = "method-permalink" href = "#-%28other%3AMatrix%29-instance-method" > #< / a >
< / div >
< br / >
< div >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L193" target = "_blank" > View source< / a > ]
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< / div >
< / div >
< div class = "entry-detail" id = "/(other:Matrix)-instance-method" >
< div class = "signature" >
def < strong > /< / strong > (other : < a href = "../../Apatite/LinearAlgebra/Matrix.html" > Matrix< / a > )
< a class = "method-permalink" href = "#%2F%28other%3AMatrix%29-instance-method" > #< / a >
< / div >
< br / >
< div >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L210" target = "_blank" > View source< / a > ]
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< / div >
< / div >
< div class = "entry-detail" id = "/(vec:Indexable)-instance-method" >
< div class = "signature" >
def < strong > /< / strong > (vec : Indexable)
< a class = "method-permalink" href = "#%2F%28vec%3AIndexable%29-instance-method" > #< / a >
< / div >
< br / >
< div >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L214" target = "_blank" > View source< / a > ]
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< / div >
< / div >
< div class = "entry-detail" id = "==(other:Matrix)-instance-method" >
< div class = "signature" >
def < strong > ==< / strong > (other : < a href = "../../Apatite/LinearAlgebra/Matrix.html" > Matrix< / a > )
< a class = "method-permalink" href = "#%3D%3D%28other%3AMatrix%29-instance-method" > #< / a >
< / div >
< br / >
< div >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L221" target = "_blank" > View source< / a > ]
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< / div >
< / div >
< div class = "entry-detail" id = "[](row:Int,col:Int)-instance-method" >
< div class = "signature" >
def < strong > []< / strong > (row : Int, col : Int)
< a class = "method-permalink" href = "#%5B%5D%28row%3AInt%2Ccol%3AInt%29-instance-method" > #< / a >
< / div >
< div class = "doc" > < p > Returns element < code > (row, col)< / code > of the matrix. Throws error on index error.< / p > < / div >
< br / >
< div >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L228" target = "_blank" > View source< / a > ]
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< / div >
< / div >
< div class = "entry-detail" id = "[]?(row:Int,col:Int)-instance-method" >
< div class = "signature" >
def < strong > []?< / strong > (row : Int, col : Int)
< a class = "method-permalink" href = "#%5B%5D%3F%28row%3AInt%2Ccol%3AInt%29-instance-method" > #< / a >
< / div >
< div class = "doc" > < p > Returns element < code > (row, col)< / code > of the matrix, or nil if the index is not found.< / p > < / div >
< br / >
< div >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L233" target = "_blank" > View source< / a > ]
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< / div >
< / div >
< div class = "entry-detail" id = "adjugate-instance-method" >
< div class = "signature" >
def < strong > adjugate< / strong >
< a class = "method-permalink" href = "#adjugate-instance-method" > #< / a >
< / div >
< div class = "doc" > < p > Returns the adjugate of the matrix.< / p > < / div >
< br / >
< div >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L239" target = "_blank" > View source< / a > ]
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< / div >
< / div >
< div class = "entry-detail" id = "cofactor(row,column)-instance-method" >
< div class = "signature" >
def < strong > cofactor< / strong > (row, column)
< a class = "method-permalink" href = "#cofactor%28row%2Ccolumn%29-instance-method" > #< / a >
< / div >
< div class = "doc" > < p > Returns the (row, column) cofactor which is obtained by multiplying the first minor by (-1)**(row + column)< / p > < / div >
< br / >
< div >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L247" target = "_blank" > View source< / a > ]
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< / div >
< / div >
< div class = "entry-detail" id = "column(j,&block)-instance-method" >
< div class = "signature" >
def < strong > column< / strong > (j, & block)
< a class = "method-permalink" href = "#column%28j%2C%26block%29-instance-method" > #< / a >
< / div >
< div class = "doc" > < p > Iterates over the specified column in the matrix, returning the Vector's items.< / p > < / div >
< br / >
< div >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L274" target = "_blank" > View source< / a > ]
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< / div >
< / div >
< div class = "entry-detail" id = "column(j)-instance-method" >
< div class = "signature" >
def < strong > column< / strong > (j)
< a class = "method-permalink" href = "#column%28j%29-instance-method" > #< / a >
< / div >
< div class = "doc" > < p > Returns column vector number < code > j< / code > of the matrix as a < code > < a href = "../../Apatite/LinearAlgebra/Vector.html" > Vector< / a > < / code > (starting at 0 like an array).< / p > < / div >
< br / >
< div >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L265" target = "_blank" > View source< / a > ]
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< / div >
< / div >
< div class = "entry-detail" id = "column?(j)-instance-method" >
< div class = "signature" >
def < strong > column?< / strong > (j)
< a class = "method-permalink" href = "#column%3F%28j%29-instance-method" > #< / a >
< / div >
< div class = "doc" > < p > Returns column vector number < code > j< / code > of the matrix as a < code > < a href = "../../Apatite/LinearAlgebra/Vector.html" > Vector< / a > < / code > (starting at 0 like an array).< / p > < / div >
< br / >
< div >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L256" target = "_blank" > View source< / a > ]
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< / div >
< / div >
< div class = "entry-detail" id = "column_count:Int32-instance-method" >
< div class = "signature" >
def < strong > column_count< / strong > : Int32
< a class = "method-permalink" href = "#column_count%3AInt32-instance-method" > #< / a >
< / div >
< br / >
< div >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L11" target = "_blank" > View source< / a > ]
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< / div >
< / div >
< div class = "entry-detail" id = "column_vectors-instance-method" >
< div class = "signature" >
def < strong > column_vectors< / strong >
< a class = "method-permalink" href = "#column_vectors-instance-method" > #< / a >
< / div >
< div class = "doc" > < p > Returns an array of the column vectors of the matrix. See < code > < a href = "../../Apatite/LinearAlgebra/Vector.html" > Vector< / a > < / code > .< / p > < / div >
< br / >
< div >
2019-06-17 22:18:58 +00:00
[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L283" target = "_blank" > View source< / a > ]
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< / div >
< / div >
< div class = "entry-detail" id = "determinant-instance-method" >
< div class = "signature" >
def < strong > determinant< / strong >
< a class = "method-permalink" href = "#determinant-instance-method" > #< / a >
< / div >
< br / >
< div >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L354" target = "_blank" > View source< / a > ]
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< / div >
< / div >
< div class = "entry-detail" id = "first_minor(row,column)-instance-method" >
< div class = "signature" >
def < strong > first_minor< / strong > (row, column)
< a class = "method-permalink" href = "#first_minor%28row%2Ccolumn%29-instance-method" > #< / a >
< / div >
< br / >
< div >
2019-06-17 22:18:58 +00:00
[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L429" target = "_blank" > View source< / a > ]
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< / div >
< / div >
< div class = "entry-detail" id = "inverse-instance-method" >
< div class = "signature" >
def < strong > inverse< / strong >
< a class = "method-permalink" href = "#inverse-instance-method" > #< / a >
< / div >
< div class = "doc" > < p > Returns the inverse of the matrix.< / p > < / div >
< br / >
< div >
2019-06-17 22:18:58 +00:00
[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L304" target = "_blank" > View source< / a > ]
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< div class = "entry-detail" id = "laplace_expansion(*,row=nil,column=nil)-instance-method" >
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def < strong > laplace_expansion< / strong > (*, row = < span class = "n" > nil< / span > , column = < span class = "n" > nil< / span > )
< a class = "method-permalink" href = "#laplace_expansion%28%2A%2Crow%3Dnil%2Ccolumn%3Dnil%29-instance-method" > #< / a >
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< div class = "doc" > < p > Returns the Laplace expansion along given row or column.< / p > < / div >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L450" target = "_blank" > View source< / a > ]
2019-06-13 02:23:54 +00:00
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< div class = "entry-detail" id = "pretty_print(pp):Nil-instance-method" >
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def < strong > pretty_print< / strong > (pp) : Nil
< a class = "method-permalink" href = "#pretty_print%28pp%29%3ANil-instance-method" > #< / a >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L516" target = "_blank" > View source< / a > ]
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< div class = "entry-detail" id = "row(i,&block)-instance-method" >
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def < strong > row< / strong > (i, & block)
< a class = "method-permalink" href = "#row%28i%2C%26block%29-instance-method" > #< / a >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L475" target = "_blank" > View source< / a > ]
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< div class = "entry-detail" id = "row(i)-instance-method" >
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def < strong > row< / strong > (i)
< a class = "method-permalink" href = "#row%28i%29-instance-method" > #< / a >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L480" target = "_blank" > View source< / a > ]
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< div class = "entry-detail" id = "row_count:Int32-instance-method" >
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def < strong > row_count< / strong > : Int32
< a class = "method-permalink" href = "#row_count%3AInt32-instance-method" > #< / a >
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2019-06-17 22:18:58 +00:00
[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L13" target = "_blank" > View source< / a > ]
2019-06-13 02:23:54 +00:00
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< div class = "entry-detail" id = "rows-instance-method" >
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def < strong > rows< / strong >
< a class = "method-permalink" href = "#rows-instance-method" > #< / a >
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[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L484" target = "_blank" > View source< / a > ]
2019-06-13 02:23:54 +00:00
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< div class = "entry-detail" id = "square?-instance-method" >
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def < strong > square?< / strong >
< a class = "method-permalink" href = "#square%3F-instance-method" > #< / a >
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2019-06-17 22:18:58 +00:00
[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L492" target = "_blank" > View source< / a > ]
2019-06-13 02:23:54 +00:00
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< div class = "entry-detail" id = "to_s(io)-instance-method" >
< div class = "signature" >
def < strong > to_s< / strong > (io)
< a class = "method-permalink" href = "#to_s%28io%29-instance-method" > #< / a >
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2019-06-17 22:18:58 +00:00
[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L502" target = "_blank" > View source< / a > ]
2019-06-13 02:23:54 +00:00
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< div class = "entry-detail" id = "transpose-instance-method" >
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def < strong > transpose< / strong >
< a class = "method-permalink" href = "#transpose-instance-method" > #< / a >
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2019-06-17 22:18:58 +00:00
[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L496" target = "_blank" > View source< / a > ]
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< div class = "entry-detail" id = "unsafe_fetch(index:Int)-instance-method" >
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def < strong > unsafe_fetch< / strong > (index : Int)
< a class = "method-permalink" href = "#unsafe_fetch%28index%3AInt%29-instance-method" > #< / a >
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2019-06-17 22:18:58 +00:00
[< a href = "https://github.com/watzon/apatite/blob/3b35b9b5423d8844e655533c4ee56ca80012b390/src/apatite/linear_algebra/matrix.cr#L525" target = "_blank" > View source< / a > ]
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