math.matrices.extras vocabulary
Factor handbook » Vocabulary index

Documentation
Extra matrix operations

Metadata

Parents:	math.matrices
Tags:	math
Authors:	Slava Pestov, Joe Groff, Doug Coleman, Cat Stevens

Words

Tuple classes

Class	Superclass	Slots
negative-power-matrix	tuple	m n
non-square-determinant	tuple	m n
undefined-inverse	tuple	m n r

Singleton classes

+deficient-rank+

+full-rank+

+half-rank+

+uncalculated-rank+

+zero-rank+

Union classes

rank-kind

Generic words

Word	Stack effect
determinant	( matrix -- determinant )
nullity	( matrix -- nullity )
rank	( matrix -- rank )

Ordinary words

Word	Stack effect
1/det	( matrix -- 1/det )
<box-matrix>	( r -- matrix )
<frustum-matrix4>	( xy-dim near far -- matrix )
<hankel-matrix>	( n -- matrix )
<hilbert-matrix>	( m n -- matrix )
<ortho-matrix4>	( factors -- matrix )
<random-integer-matrix>	( m n max -- matrix )
<random-unit-matrix>	( m n max -- matrix )
<rotation-matrix3>	( axis theta -- matrix )
<rotation-matrix4>	( axis theta -- matrix )
<scale-matrix3>	( factors -- matrix )
<scale-matrix4>	( factors -- matrix )
<skew-matrix4>	( theta -- matrix )
<toeplitz-matrix>	( n -- matrix )
<translation-matrix4>	( offset -- matrix )
<vandermonde-matrix>	( u n -- matrix )
>cofactors	( matrix -- matrix' )
>minors	( matrix -- matrix' )
cartesian-column-map	( matrix quot: ( ... pair matrix -- ... matrix' ) -- matrix-seq )
cartesian-matrix-map	( matrix quot: ( ... pair matrix -- ... matrix' ) -- matrix-seq )
covariance-matrix	( matrix -- cov )
covariance-matrix-ddof	( matrix ddof -- cov )
gram-schmidt	( matrix -- orthogonal )
gram-schmidt-normalize	( matrix -- orthonormal )
invertible-matrix?	( matrix -- ? )
kronecker-product	( m1 m2 -- m )
linearly-independent-matrix?	( matrix -- ? )
m*1/det	( matrix -- matrix' )
m^n	( m n -- n )
multiplicative-inverse	( x -- y )
n^m	( n m -- n )
negative-power-matrix	( m n -- * )
non-square-determinant	( m n -- * )
outer-product	( u v -- matrix )
population-covariance-matrix	( matrix -- cov )
sample-covariance-matrix	( matrix -- cov )
undefined-inverse	( m n r -- * )

Class predicate words

Word	Stack effect
+deficient-rank+?	( object -- ? )
+full-rank+?	( object -- ? )
+half-rank+?	( object -- ? )
+uncalculated-rank+?	( object -- ? )
+zero-rank+?	( object -- ? )
negative-power-matrix?	( object -- ? )
non-square-determinant?	( object -- ? )
rank-kind?	( object -- ? )
undefined-inverse?	( object -- ? )

Files

resource:extra/math/matrices/extras/extras.factor
resource:extra/math/matrices/extras/extras-docs.factor
resource:extra/math/matrices/extras/extras-tests.factor

Metadata files

resource:extra/math/matrices/extras/authors.txt
resource:extra/math/matrices/extras/summary.txt
resource:extra/math/matrices/extras/tags.txt