math.matrices vocabulary
Factor handbook » Vocabulary index

Documentation
Matrix operations

Metadata

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

Words

Predicate classes

Class	Superclass
irregular-matrix	sequence
matrix	sequence
null-matrix	matrix
square-matrix	matrix
zero-matrix	matrix
zero-square-matrix	square-matrix

Generic words

Word	Stack effect
<square-cols>	( desc -- matrix )
<square-rows>	( desc -- matrix )
cols-except	( matrix desc -- others )
rows-except	( matrix desc -- others )

Ordinary words

Word	Stack effect
<anti-diagonal-matrix>	( diagonal-seq -- matrix )
<cartesian-indices>	( dim -- coordinates )
<cartesian-square-indices>	( n -- matrix )
<coordinate-matrix>	( dim -- coordinates )
<diagonal-matrix>	( diagonal-seq -- matrix )
<eye>	( m n k z -- matrix )
<identity-matrix>	( n -- matrix )
<lower-matrix>	( object m n -- matrix )
<matrix-by-indices>	( ... m n quot: ( ... m' n' -- ... elt ) -- ... matrix )
<matrix-by>	( ... m n quot: ( ... -- ... elt ) -- ... matrix )
<matrix>	( m n element -- matrix )
<simple-eye>	( m n k -- matrix )
<upper-matrix>	( object m n -- matrix )
<zero-matrix>	( m n -- matrix )
<zero-square-matrix>	( n -- matrix )
>square-matrix	( m -- subset )
all-submatrices	( matrix -- submatrices )
anti-diagonal	( matrix -- seq )
anti-flip	( matrix -- newmatrix )
anti-transpose	( matrix -- newmatrix )
col	( n matrix -- col )
cols	( seq matrix -- cols )
column-map	( matrix quot: ( ... col -- ... col' ) -- matrix' )
dimension	( matrix -- dimension )
frobenius-norm	( m -- n )
hilbert-schmidt-norm	( m -- n )
m*	( m1 m2 -- m )
m*n	( m n -- m )
m+	( m1 m2 -- m )
m+n	( m n -- m )
m-	( m1 m2 -- m )
m-n	( m n -- m )
m/	( m1 m2 -- m )
m/n	( m n -- m )
mabs	( m -- m' )
main-diagonal	( matrix -- seq )
matrix-except	( matrix exclude-pair -- submatrix )
matrix-except-all	( matrix -- submatrices )
matrix-l-infinity-norm	( m -- n )
matrix-l1-norm	( m -- n )
matrix-l2-norm	( m -- n )
matrix-map	( matrix quot: ( ... elt -- ... elt' ) -- matrix' )
matrix-map-index	( matrix quot: ( ... elt i j -- ... elt' ) -- matrix' )
matrix-normalize	( m -- m' )
matrix-nth	( pair matrix -- elt )
matrix-nths	( pairs matrix -- elts )
matrix-p-norm	( m p -- n )
matrix-p-norm-entrywise	( m p -- n )
matrix-p-q-norm	( m p q -- n )
matrix-set-nth	( obj pair matrix -- )
matrix-set-nths	( obj pairs matrix -- )
mdot	( m m -- m )
mdotv	( m v -- p )
mmax	( m -- n )
mmin	( m -- n )
mneg	( m -- m' )
m~	( m1 m2 epsilon -- ? )
n*m	( n m -- m )
n+m	( n m -- m )
n-m	( n m -- m )
n/m	( n m -- m )
regular-matrix?	( object -- ? )
row	( n matrix -- row )
rows	( seq matrix -- rows )
stitch	( m -- m' )
submatrix-excluding	( matrix exclude-pair -- submatrix )
transpose	( matrix -- newmatrix )
vdotm	( v m -- p )

Class predicate words

Word	Stack effect
irregular-matrix?	( object -- ? )
matrix?	( object -- ? )
null-matrix?	( object -- ? )
square-matrix?	( object -- ? )
zero-matrix?	( object -- ? )
zero-square-matrix?	( object -- ? )

Files

resource:basis/math/matrices/matrices.factor
resource:basis/math/matrices/matrices-docs.factor
resource:basis/math/matrices/matrices-tests.factor

Metadata files

resource:basis/math/matrices/authors.txt
resource:basis/math/matrices/summary.txt
resource:basis/math/matrices/tags.txt

Children from resource:extra

Vocabulary	Summary
math.matrices.elimination	Solving systems of linear equations
math.matrices.extras	Matrix arithmetic - extra and miscellaneous words
math.matrices.laplace	Laplace expansion
math.matrices.simd	SIMD accelerated 4x4 matrix math