linalgebra (MathScript RT Module Class)
Requires: MathScript RT Module
Use members of the linalgebra class of MathScript functions to manipulate real and complex matrices.
| Function | Description |
|---|---|
| balance | Improves the accuracy of eigenvalues and eigenvectors |
| blockdiag | Block diagonal matrix |
| cat | Matrix concatenation |
| cctranspose | Complex conjugate transpose |
| chol | Cholesky decomposition |
| circularshift | Circular shift |
| companion | Companion matrix |
| cond | Condition number using SVD |
| condeign | Condition number using eigenvalues |
| condestimate | Estimate for 1-norm condition number |
| condrecip | Reciprocal condition number |
| deflate | Removes singleton dimensions |
| det | Determinant of a matrix |
| diag | Diagonal matrix or diagonal of a matrix |
| eig | Eigenvectors and eigenvalues |
| eigsort | Eigenvalues and eigenvectors of matrices |
| expmx | Matrix exponential |
| expmx_eign | Matrix exponential using eigenvectors |
| expmx_pade | Matrix exponential using Pade approximation |
| expmx_taylor | Matrix exponential using Taylor series |
| findnz | Finds all non-zero elements |
| funmx | Computes functions of square matrices |
| gsvd | Generalized singular value decomposition of a matrix pair |
| hconcatmx | Horizontal matrix concatenation |
| hessenberg | Hessenberg form of matrices |
| linearsolve | Solves the linear equation ax = b |
| logmx | Matrix logarithm |
| lu | LU-decomposition of matrices |
| mirror | Flips matrix across dimension |
| mirrorh | Flips matrix left-right |
| mirrorv | Flips matrix up-down |
| norm | Vector/matrix norm |
| normestimate | Euclidean norm estimation |
| null | Null space |
| numdims | Number of dimensions |
| numelements | Number of elements |
| numnz | Number of non-zero elements |
| nz | Non-zero elements |
| orth | Orthogonalization |
| pinv | Pseudoinverse |
| polyvalmx | Matrix polynomial |
| powermx | Matrix power |
| qr | QR decomposition |
| qz | QZ decomposition |
| rank | Matrix rank |
| reshapemx | Reshapes matrix |
| rotate90 | 90-degree rotation of matrices |
| rref | Reduced echelon form |
| schur | Schur decomposition |
| size | Matrix size |
| sqrtmx | Square root of a square matrix |
| subspaceangle | Angle between subspaces |
| svd | Singular value decomposition |
| trace | Matrix trace |
| transpose | Non-conjugate transpose |
| tril | Lower triangular part |
| triu | Upper triangular part |
| updatechol | Cholesky decomposition on rank 1 |
| vconcatmx | Vertical matrix concatenation |