|Four mutually orthogonal functions, defined in the plane. Each function, after multiplication by an auxillary function (not shown), is nonnegative definite (in the sense of Bochner). The matrices above were found with cvxopt and the iterative solvers below.|
|minres||Example using MINRES|
|symmlq||Example using SYMMLQ|
|lsqr||Example using LSQR|
The SciPy/Numpy versions of the same routines have no connection with the versions posted here.
The files are named '*_py' instead of '*.py' because the current web server tries to execute the '*.py' files instead of sending them.
The current version and archive management of these files is really poor. This will eventually change.
If you find bugs in these python versions, please tell me. jeffery.kline @ gmail com
BSD License for SOL Numerical Software http://www.opensource.org/licenses/bsd-license.php This notice applies to the software packages cgls, lsqr, lumod, minres, pdco, pdsco, symmlq made available at http://www.stanford.edu/group/SOL/software.html by the Systems Optimization Laboratory (SOL) Dept of Management Science and Engineering Stanford University, Stanford, CA 94305-4026, USA Copyright (c) 2006, Systems Optimization Laboratory All rights reserved. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: * Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. * Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. * Neither the name of Stanford University nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.