Table of Contents

aff2ab - linear (affine) function to A,b conversion

balanc - matrix or pencil balancing

bdiag - block diagonalization, generalized eigenvectors

chfact - sparse Cholesky factorization

chol - Cholesky factorization

chsolve - sparse Cholesky solver

classmarkov - recurrent and transient classes of Markov matrix

coff - resolvent (cofactor method)

colcomp - column compression, kernel, nullspace

companion - companion matrix

cond - condition number

det - determinant

eigenmarkov - normalized left and right Markov eigenvectors

ereduc - computes matrix column echelon form by qz transformations

expm - square matrix exponential

exp - element-wise exponential

fstair - computes pencil column echelon form by qz transformations

fullrfk - full rank factorization of A^k

fullrf - full rank factorization

genmarkov - generates random markov matrix with recurrent and transient classes

givens - Givens transformation

glever - inverse of matrix pencil

gschur - generalized Schur form (obsolete).

gspec - eigenvalues of matrix pencil (obsolete)

hess - Hessenberg form

householder - Householder orthogonal reflexion matrix

im_inv - inverse image

inv - matrix inverse

kernel - kernel, nullspace

kroneck - Kronecker form of matrix pencil

linsolve - linear equation solver

lsq - linear least square problems.

ludel - utility function used with lufact

lufact - sparse lu factorization

luget - extraction of sparse LU factors

lusolve - sparse linear system solver

lu - LU factors of Gaussian elimination

lyap - Lyapunov equation

nlev - Leverrier's algorithm

orth - orthogonal basis

pbig - eigen-projection

pencan - canonical form of matrix pencil

penlaur - Laurent coefficients of matrix pencil

pinv - pseudoinverse

polar - polar form

projspec - spectral operators

proj - projection

psmall - spectral projection

qr - QR decomposition

quaskro - quasi-Kronecker form

randpencil - random pencil

range - range (span) of A^k

rankqr - rank revealing QR factorization

rank - rank

rcond - inverse condition number

rowcomp - row compression, range

rowshuff - shuffle algorithm

rref - computes matrix row echelon form by lu transformations

schur - [ordered] Schur decomposition of matrix and pencils

spaninter - subspace intersection

spanplus - sum of subspaces

spantwo - sum and intersection of subspaces

spchol - sparse cholesky factorization

spec - eigenvalues of matrices and pencils

sqroot - W*W' hermitian factorization

sva - singular value approximation

svd - singular value decomposition

sylv - Sylvester equation.

trace - trace