Mercurial > matrix-functions
diff mftoolbox/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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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/mftoolbox/Contents.m Wed May 06 14:56:53 2015 +0200 @@ -0,0 +1,46 @@ +% Matrix Function Toolbox (MFT). +% Version 1.0 6-Mar-2008 +% Copyright (c) 2008 by N. J. Higham +% +% arnoldi - Arnoldi iteration +% ascent_seq - Ascent sequence for square (singular) matrix. +% cosm - Matrix cosine by double angle algorithm. +% cosm_pade - Evaluate Pade approximation to the matrix cosine. +% cosmsinm - Matrix cosine and sine by double angle algorithm. +% cosmsinm_pade - Evaluate Pade approximations to matrix cosine and sine. +% expm_cond - Relative condition number of matrix exponential. +% expm_frechet_pade - Frechet derivative of matrix exponential via Pade approx. +% expm_frechet_quad - Frechet derivative of matrix exponential via quadrature. +% fab_arnoldi - f(A)*b approximated by Arnoldi method. +% funm_condest1 - Estimate of 1-norm condition number of matrix function. +% funm_condest_fro - Estimate of Frobenius norm condition number of matrix function. +% funm_ev - Evaluate general matrix function via eigensystem. +% funm_simple - Simplified Schur-Parlett method for function of a matrix. +% logm_cond - Relative condition number of matrix logarithm. +% logm_frechet_pade - Frechet derivative of matrix logarithm via Pade approx. +% logm_iss - Matrix logarithm by inverse scaling and squaring method. +% logm_pade_pf - Evaluate Pade approximant to matrix log by partial fractions. +% mft_test - Test the Matrix Function Toolbox. +% mft_tolerance - Convergence tolerance for matrix iterations. +% polar_newton - Polar decomposition by scaled Newton iteration. +% polar_svd - Canonical polar decomposition via singular value decomposition. +% polyvalm_ps - Evaluate polynomial at matrix argument by Paterson-Stockmeyer alg. +% power_binary - Power of matrix by binary powering (repeated squaring). +% quasitriang_struct - Block structure of upper quasitriangular matrix. +% readme - Welcome to the Matrix Function Toolbox. +% riccati_xaxb - Solve Riccati equation XAX = B in positive definite matrices. +% rootpm_newton - Coupled Newton iteration for matrix pth root. +% rootpm_real - Pth root of real matrix via real Schur form. +% rootpm_schur_newton - Matrix pth root by Schur-Newton method. +% rootpm_sign - Matrix Pth root via matrix sign function. +% signm - Matrix sign decomposition. +% signm_newton - Matrix sign function by Newton iteration. +% sqrtm_db - Matrix square root by Denman-Beavers iteration. +% sqrtm_dbp - Matrix square root by product form of Denman-Beavers iteration. +% sqrtm_newton - Matrix square root by Newton iteration (unstable). +% sqrtm_newton_full - Matrix square root by full Newton method. +% sqrtm_pd - Square root of positive definite matrix via polar decomposition. +% sqrtm_pulay - Matrix square root by Pulay iteration. +% sqrtm_real - Square root of real matrix by real Schur method. +% sqrtm_triang_min_norm - Estimated min norm square root of triangular matrix. +% sylvsol - Solve Sylvester equation.