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
exp
- element-wise exponential
expm
- square matrix exponential
fstair
- computes pencil column echelon form by qz transformations
fullrf
- full rank factorization
fullrfk
- full rank factorization of
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.
lu
- LU factors of Gaussian elimination
ludel
- utility function used with lufact
lufact
- sparse lu factorization
luget
- extraction of sparse LU factors
lusolve
- sparse linear system solver
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
proj
- projection
projspec
- spectral operators
psmall
- spectral projection
qr
- QR decomposition
quaskro
- quasi-Kronecker form
randpencil
- random pencil
range
- range (span) of
rank
- rank
rankqr
- rank revealing QR factorization
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