From octave-sources-request at bevo dot che dot wisc dot edu Fri Jul 10 10:08:29 1998 Subject: Iterative Solution of Linear Systems From: Mario Storti To: octave-sources at bevo dot che dot wisc dot edu cc: mstorti at minerva dot unl dot edu dot ar Date: Fri, 10 Jul 1998 11:56:36 -0300 ------- =_aaaaaaaaaa0 Content-Type: text/plain; charset="us-ascii" Content-ID: <12318 dot 900082541 dot 1 at minerva> Hi Recently I posted two functions for iteratively solving linear systems. Here is an updated version of the package. Basically, I added two auxiliary functions that were missing in the previous package, and added a Conjugate Gradient solver. Mario Storti %%%%%%<>%%%%%%<>%%%%%%<>%%%%%%<>%%%%%%<>%%%%%%<>%%%%%%<>%%%%%%<>%%%%%%<>% Mario Alberto Storti | Fax: (54)(42) 55.09.44 | Centro Internacional de Metodos Computacionales| Tel: (54)(42) 55.91.75 | en Ingenieria - CIMEC |........................| INTEC, Guemes 3450 - 3000 Santa Fe, Argentina | Reply: mstorti at minerva dot unl dot edu dot ar,| http://venus dot unl dot edu dot ar/gtm-eng dot html http://venus.unl.edu.ar/gtm-eng.html | ================== README FILE ======================================== Here are Octave functions for solving symmetric and non-symmetric systems of linear equations iteratively with the * Conjugate Gradient, * Conjugate Gradient on Normal Equations, and * Bi-Conjugate Gradient method. They have the following features: * Only real (not complex) systems allowed (this may be extended in the future). * Multiple right hand sides allowed * You can pass indistinctly both the coefficient matrix as well as the string naming a function that returns `A*x' when passed `x' as argument. * You can specify both a tolerance to the norm of the residual, as well as the maximum number of iterations allowed. * Preconditionings must be defined externally by the user * A short LaTeX paper with more details is included. * Simple installation. Copy the script files cg.m, bicg.m and cgne.m to somewhere in the LOADPATH * Examples included. Mario Storti ================================================================ ------- =_aaaaaaaaaa0 Content-Type: application/octet-stream; name="ITERATIVE.tgz" Content-ID: <12318 dot 900082541 dot 2 at minerva> Content-Description: iterative package Content-Transfer-Encoding: base64 H4sIAEMrpjUAA+39e3/ktpEoDO+/i0/BOM6x5MxoALK7SdmZeSJRZHb2jR3H9uZkf5nspiW1pM7o Fl3smUx8PvsL1A0Fkn2RRnacRG2PCBRAXKsKVYUC+PLr5sudr1/+rnn2b9/bLxvZcjzO/i3LsnIy gacbjeBJP5tlk/HYjfJRWYx9qhsV5b9l4++vSfF3e30zvcqyfzu7vrm4upkvyTe7uv4hGvTD/l7K /B9eHHxPOHCH+R/n+cSn5rm1j/P/Q/zS+Z/fzK6mN/NvZluXD9hXZ+2E5rs//5N8MnFFnH9nQ2pp R/+W2YdrwuLfv/j8/+wnX3z1dOfwYn/2NN+y5mc/q69mUz8Sn2SH38wvr19n461xdZTVF5dvr+bH JzeZ264mT/zf7VH25fRwfjA9zZq3s+yri6Obb6dXM1/C1/Ob09knWcQlX5IHfzE9nl1/ko0p+Jur w5mvZef6YHZ+6GG7F7fnh/Pz492LN594fmCzicuzcjv3SXsXB7dns/ObL6aXs6uv5n8Nxfx6duPL 94nN+WF9cRaSr83P9n738ouvQnR6fvjr+blvxbPb66tn+/PzZ9Cd7OlF9vQgc93GwXtfTK+mZzOf 4Is/vJw/n1j7JDugsrOr2dnFN7NDyvvVxe3VgS8++3r2++zi9ubyNozMdrVlyy1nP3Fu7EKfZsfz 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