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% 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.