| MATLAB Function Reference | |
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 | |