comparison matrixcomp/Contents.m @ 0:8f23314345f4 draft

Create local repository for matrix toolboxes. Step #0 done.
author Antonio Pino Robles <data.script93@gmail.com>
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.