matrix
Matrix operations

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irregular-matrix

Vocabulary
math.matrices

Class description
The class of regular, rectangular matrices. In mathematics and linear algebra, a matrix is a rectangular collection of scalar elements for the purpose of the uniform application of algorithms.

Notes
In Factor, any sequence with two or more dimensions (one or more layers of subsequences) can be a matrix, and the elements may be any object.

A regular matrix is a sequence with two or more dimensions, whose subsequences are all of equal length. See regular-matrix?.

Irregular matrices are classified by irregular-matrix.

See also
irregular-matrix, square-matrix, zero-matrix, null-matrix, zero-square-matrix, null-matrix

Definition

USING: combinators.short-circuit sequences ;

IN: math.matrices

PREDICATE: matrix < sequence
    { [ [ sequence? ] all? ] [ regular-matrix? ] } 1&& ;

Methods

USING: math.matrices ;

M: matrix <square-cols> >square-matrix ;


USING: math.matrices ;

M: matrix <square-rows> >square-matrix ;


USING: math.matrices math.matrices.extras sequences ;

M: matrix determinant dimension first2 non-square-determinant ;


USING: math.matrices math.matrices.extras
math.matrices.extras.private ;

M: matrix rank nonsquare-rank ;


USING: math math.matrices math.matrices.extras.private ;

M: matrix recip (specialized-inverse) ; inline