Matrix analysis

norm

Matrix or vector norm

normest

Estimate the matrix 2-norm

rank

Matrix rank

det

Determinant

trace

Sum of diagonal elements

null

Null space

orth

Orthogonalization

rref

Reduced row echelon form

subspace

Angle between two subspaces

Linear equations

\ and /

Linear equation solution

inv

Matrix inverse

cond

Condition number for inversion

condest

1-norm condition number estimate

chol

Cholesky factorization

cholinc

Incomplete Cholesky factorization

linsolve

Solve a system of linear equations

lu

LU factorization

ilu

Incomplete LU factorization

luinc

Incomplete LU factorization

qr

Orthogonal-triangular decomposition

lsqnonneg

Nonnegative least-squares

pinv

Pseudoinverse

lscov

Least squares with known covariance

Eigenvalues and singular values

eig

Eigenvalues and eigenvectors

svd

Singular value decomposition

eigs

A few eigenvalues

svds

A few singular values

poly

Characteristic polynomial

polyeig

Polynomial eigenvalue problem

condeig

Condition number for eigenvalues

hess

Hessenberg form

qz

QZ factorization

schur

Schur decomposition

Matrix functions

expm

Matrix exponential

logm

Matrix logarithm

sqrtm

Matrix square root

funm

Evaluate general matrix function