MATLAB Function Reference    

Linear Algebra

Matrix Analysis

cond Condition number with respect to inversion
condeig Condition number with respect to eigenvalues
det Determinant
norm Matrix or vector norm
normest Estimate matrix 2-norm
null Null space
orth Orthogonalization
rank Matrix rank
rcond Matrix reciprocal condition number estimate
rref Reduced row echelon form
subspace Angle between two subspaces
trace Sum of diagonal elements

Linear Equations

\ and / Linear equation solution
chol Cholesky factorization
cholinc Incomplete Cholesky factorization
cond Condition number with respect to inversion
condest 1-norm condition number estimate
funm Evaluate general matrix function
inv Matrix inverse
lscov Least squares solution in presence of known covariance
lsqnonneg Nonnegative least squares
lu LU matrix factorization
luinc Incomplete LU factorization
pinv Moore-Penrose pseudoinverse of matrix
qr Orthogonal-triangular decomposition
rcond Matrix reciprocal condition number estimate

Eigenvalues and Singular Values

balance Improve accuracy of computed eigenvalues
cdf2rdf Convert complex diagonal form to real block diagonal form
condeig Condition number with respect to eigenvalues
eig Eigenvalues and eigenvectors
eigs Eigenvalues and eigenvectors of sparse matrix
gsvd Generalized singular value decomposition
hess Hessenberg form of matrix
poly Polynomial with specified roots
polyeig Polynomial eigenvalue problem
qz QZ factorization for generalized eigenvalues
rsf2csf Convert real Schur form to complex Schur form
schur Schur decomposition
svd Singular value decomposition
svds Singular values and vectors of sparse matrix

Matrix Logarithms and Exponentials

expm Matrix exponential
logm Matrix logarithm
sqrtm Matrix square root

Factorization

balance Diagonal scaling to improve eigenvalue accuracy
cdf2rdf Complex diagonal form to real block diagonal form
chol Cholesky factorization
cholinc Incomplete Cholesky factorization
cholupdate Rank 1 update to Cholesky factorization
lu LU matrix factorization
luinc Incomplete LU factorization
planerot Givens plane rotation
qr Orthogonal-triangular decomposition
qrdelete Delete column or row from QR factorization
qrinsert Insert column or row into QR factorization
qrupdate Rank 1 update to QR factorization
qz QZ factorization for generalized eigenvalues
rsf2csf Real block diagonal form to complex diagonal form

  Arrays and Matrices Elementary Math