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annotate 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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8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
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1 % Matrix Function Toolbox (MFT). |
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Create local repository for matrix toolboxes. Step #0 done.
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2 % Version 1.0 6-Mar-2008 |
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3 % Copyright (c) 2008 by N. J. Higham |
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4 % |
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Create local repository for matrix toolboxes. Step #0 done.
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5 % arnoldi - Arnoldi iteration |
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Create local repository for matrix toolboxes. Step #0 done.
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6 % ascent_seq - Ascent sequence for square (singular) matrix. |
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Create local repository for matrix toolboxes. Step #0 done.
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7 % cosm - Matrix cosine by double angle algorithm. |
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Create local repository for matrix toolboxes. Step #0 done.
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8 % cosm_pade - Evaluate Pade approximation to the matrix cosine. |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
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9 % cosmsinm - Matrix cosine and sine by double angle algorithm. |
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Create local repository for matrix toolboxes. Step #0 done.
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10 % cosmsinm_pade - Evaluate Pade approximations to matrix cosine and sine. |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
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11 % expm_cond - Relative condition number of matrix exponential. |
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Create local repository for matrix toolboxes. Step #0 done.
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12 % expm_frechet_pade - Frechet derivative of matrix exponential via Pade approx. |
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Create local repository for matrix toolboxes. Step #0 done.
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13 % expm_frechet_quad - Frechet derivative of matrix exponential via quadrature. |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
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14 % fab_arnoldi - f(A)*b approximated by Arnoldi method. |
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Create local repository for matrix toolboxes. Step #0 done.
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15 % funm_condest1 - Estimate of 1-norm condition number of matrix function. |
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Create local repository for matrix toolboxes. Step #0 done.
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16 % funm_condest_fro - Estimate of Frobenius norm condition number of matrix function. |
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Create local repository for matrix toolboxes. Step #0 done.
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17 % funm_ev - Evaluate general matrix function via eigensystem. |
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18 % funm_simple - Simplified Schur-Parlett method for function of a matrix. |
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Create local repository for matrix toolboxes. Step #0 done.
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19 % logm_cond - Relative condition number of matrix logarithm. |
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Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
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20 % logm_frechet_pade - Frechet derivative of matrix logarithm via Pade approx. |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
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21 % logm_iss - Matrix logarithm by inverse scaling and squaring method. |
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Create local repository for matrix toolboxes. Step #0 done.
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22 % logm_pade_pf - Evaluate Pade approximant to matrix log by partial fractions. |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
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23 % mft_test - Test the Matrix Function Toolbox. |
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Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
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24 % mft_tolerance - Convergence tolerance for matrix iterations. |
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Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
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25 % polar_newton - Polar decomposition by scaled Newton iteration. |
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Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
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26 % polar_svd - Canonical polar decomposition via singular value decomposition. |
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Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
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27 % polyvalm_ps - Evaluate polynomial at matrix argument by Paterson-Stockmeyer alg. |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
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28 % power_binary - Power of matrix by binary powering (repeated squaring). |
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Create local repository for matrix toolboxes. Step #0 done.
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29 % quasitriang_struct - Block structure of upper quasitriangular matrix. |
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Create local repository for matrix toolboxes. Step #0 done.
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30 % readme - Welcome to the Matrix Function Toolbox. |
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31 % riccati_xaxb - Solve Riccati equation XAX = B in positive definite matrices. |
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Create local repository for matrix toolboxes. Step #0 done.
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32 % rootpm_newton - Coupled Newton iteration for matrix pth root. |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
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33 % rootpm_real - Pth root of real matrix via real Schur form. |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
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34 % rootpm_schur_newton - Matrix pth root by Schur-Newton method. |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
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35 % rootpm_sign - Matrix Pth root via matrix sign function. |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
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36 % signm - Matrix sign decomposition. |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
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37 % signm_newton - Matrix sign function by Newton iteration. |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
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38 % sqrtm_db - Matrix square root by Denman-Beavers iteration. |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
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39 % sqrtm_dbp - Matrix square root by product form of Denman-Beavers iteration. |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
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40 % sqrtm_newton - Matrix square root by Newton iteration (unstable). |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
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41 % sqrtm_newton_full - Matrix square root by full Newton method. |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
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42 % sqrtm_pd - Square root of positive definite matrix via polar decomposition. |
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Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
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43 % sqrtm_pulay - Matrix square root by Pulay iteration. |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
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44 % sqrtm_real - Square root of real matrix by real Schur method. |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
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45 % sqrtm_triang_min_norm - Estimated min norm square root of triangular matrix. |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
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46 % sylvsol - Solve Sylvester equation. |