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view 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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% Matrix Computation Toolbox. % Version 1.2 5-Sep-2002 % Copyright (c) 2002 by N. J. Higham % % Demonstration % mctdemo - Demonstration of Matrix Computation Toolbox. % % Test Matrices % augment - Augmented system matrix. % gfpp - Matrix giving maximal growth factor for Gaussian elimination % with partial pivoting. % makejcf - A matrix with specified Jordan canonical form. % rschur - An upper quasi-triangular matrix. % vand - Vandermonde matrix. % vecperm - Vec-permutation matrix. % % Visualization % fv - Field of values (or numerical range). % gersh - Gershgorin disks. % ps - Dot plot of a pseudospectrum. % pscont - Contours and colour pictures of pseudospectra. % see - Pictures of a matrix. % % Factorizations and Decompositions % cholp - Cholesky factorization with pivoting of a positive semidefinite % matrix. % cod - Complete orthogonal decomposition. % gep - Gaussian elimination with pivoting: none, complete, partial or % rook. % gj - Gauss-Jordan elimination with partial pivoting to solve Ax = b. % gqr - Generalized QR factorization. % gs_c - Classical Gram-Schmidt QR factorization. % gs_m - Modified Gram-Schmidt QR factorization. % ldlt_skew - Block LDL^T factorization for a skew-symmetric matrix. % ldlt_symm - Block LDL^T factorization for a symmetric indefinite matrix. % ldlt_sytr - Block LDL^T factorization for a symmetric tridiagonal % matrix. % matsignt - Matrix sign function of a triangular matrix. % poldec - Polar decomposition. % signm - Matrix sign decomposition. % trap2tri - Unitary reduction of trapezoidal matrix to triangular form. % % Direct Search Optimization % adsmax - Alternating directions method. % mdsmax - Multidirectional search method. % mmsmax - Nelder-Mead simplex method. % % Miscellaneous % chop - Round matrix elements. % cpltaxes - Determine suitable AXIS for plot of complex vector. % dual - Dual vector with respect to Holder p-norm. % lse - Solve the equality constrained least squares problem. % matrix - Matrix Computation Toolbox information and matrix access by % number. % pnorm - Estimate of matrix p-norm (1 <= p <= inf). % rootm - P'th root of a matrix. % seqcheb - Sequence of points related to Chebyshev polynomials. % seqm - Multiplicative sequence. % show - Display signs of matrix elements. % skewpart - Skew-symmetric (skew-Hermitian) part. % sparsify - Randomly set matrix elements to zero. % strassen - Strassen's fast matrix multiplication algorithm. % strassenw - Strassen's fast matrix multiplication algorithm (Winograd % variant). % sub - Principal submatrix. % symmpart - Symmetric (Hermitian) part. % treshape - Reshape vector to or from (unit) triangular matrix.