Mercurial > matrix-functions
comparison matrixcomp/Contents.m @ 0:8f23314345f4 draft
Create local repository for matrix toolboxes. Step #0 done.
author | Antonio Pino Robles <data.script93@gmail.com> |
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date | Wed, 06 May 2015 14:56:53 +0200 |
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1 % Matrix Computation Toolbox. | |
2 % Version 1.2 5-Sep-2002 | |
3 % Copyright (c) 2002 by N. J. Higham | |
4 % | |
5 % Demonstration | |
6 % mctdemo - Demonstration of Matrix Computation Toolbox. | |
7 % | |
8 % Test Matrices | |
9 % augment - Augmented system matrix. | |
10 % gfpp - Matrix giving maximal growth factor for Gaussian elimination | |
11 % with partial pivoting. | |
12 % makejcf - A matrix with specified Jordan canonical form. | |
13 % rschur - An upper quasi-triangular matrix. | |
14 % vand - Vandermonde matrix. | |
15 % vecperm - Vec-permutation matrix. | |
16 % | |
17 % Visualization | |
18 % fv - Field of values (or numerical range). | |
19 % gersh - Gershgorin disks. | |
20 % ps - Dot plot of a pseudospectrum. | |
21 % pscont - Contours and colour pictures of pseudospectra. | |
22 % see - Pictures of a matrix. | |
23 % | |
24 % Factorizations and Decompositions | |
25 % cholp - Cholesky factorization with pivoting of a positive semidefinite | |
26 % matrix. | |
27 % cod - Complete orthogonal decomposition. | |
28 % gep - Gaussian elimination with pivoting: none, complete, partial or | |
29 % rook. | |
30 % gj - Gauss-Jordan elimination with partial pivoting to solve Ax = b. | |
31 % gqr - Generalized QR factorization. | |
32 % gs_c - Classical Gram-Schmidt QR factorization. | |
33 % gs_m - Modified Gram-Schmidt QR factorization. | |
34 % ldlt_skew - Block LDL^T factorization for a skew-symmetric matrix. | |
35 % ldlt_symm - Block LDL^T factorization for a symmetric indefinite matrix. | |
36 % ldlt_sytr - Block LDL^T factorization for a symmetric tridiagonal | |
37 % matrix. | |
38 % matsignt - Matrix sign function of a triangular matrix. | |
39 % poldec - Polar decomposition. | |
40 % signm - Matrix sign decomposition. | |
41 % trap2tri - Unitary reduction of trapezoidal matrix to triangular form. | |
42 % | |
43 % Direct Search Optimization | |
44 % adsmax - Alternating directions method. | |
45 % mdsmax - Multidirectional search method. | |
46 % mmsmax - Nelder-Mead simplex method. | |
47 % | |
48 % Miscellaneous | |
49 % chop - Round matrix elements. | |
50 % cpltaxes - Determine suitable AXIS for plot of complex vector. | |
51 % dual - Dual vector with respect to Holder p-norm. | |
52 % lse - Solve the equality constrained least squares problem. | |
53 % matrix - Matrix Computation Toolbox information and matrix access by | |
54 % number. | |
55 % pnorm - Estimate of matrix p-norm (1 <= p <= inf). | |
56 % rootm - P'th root of a matrix. | |
57 % seqcheb - Sequence of points related to Chebyshev polynomials. | |
58 % seqm - Multiplicative sequence. | |
59 % show - Display signs of matrix elements. | |
60 % skewpart - Skew-symmetric (skew-Hermitian) part. | |
61 % sparsify - Randomly set matrix elements to zero. | |
62 % strassen - Strassen's fast matrix multiplication algorithm. | |
63 % strassenw - Strassen's fast matrix multiplication algorithm (Winograd | |
64 % variant). | |
65 % sub - Principal submatrix. | |
66 % symmpart - Symmetric (Hermitian) part. | |
67 % treshape - Reshape vector to or from (unit) triangular matrix. |