<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"> <html xmlns="http://www.w3.org/1999/xhtml"> <head> <meta http-equiv="Content-Type" content="text/html; charset=utf-8" /> <title>CVXOPT — CVXOPT User's Guide</title> <link rel="stylesheet" href="_static/cvxopt.css" type="text/css" /> <link rel="stylesheet" href="_static/pygments.css" type="text/css" /> <script type="text/javascript"> var DOCUMENTATION_OPTIONS = { URL_ROOT: '#', VERSION: '1.1.1', COLLAPSE_MODINDEX: false, FILE_SUFFIX: '.html', HAS_SOURCE: false }; </script> <script type="text/javascript" src="_static/jquery.js"></script> <script type="text/javascript" src="_static/doctools.js"></script> <link rel="copyright" title="Copyright" href="copyright.html" /> <link rel="top" title="CVXOPT User's Guide" href="#" /> <link rel="next" title="Copyright and License" href="copyright.html" /> </head> <body> <div class="related"> <h3>Navigation</h3> <ul> <li class="right" style="margin-right: 10px"> <a href="copyright.html" title="Copyright and License" accesskey="N">next</a></li> <li><a href="http://abel.ee.ucla.edu/cvxopt">CVXOPT home</a> |</li> <li><a href="#">user's guide</a> </li> </ul> </div> <div class="document"> <div class="documentwrapper"> <div class="bodywrapper"> <div class="body"> <div class="section" id="cvxopt"> <h1>CVXOPT<a class="headerlink" href="#cvxopt" title="Permalink to this headline">ΒΆ</a></h1> <p><strong>Release 1.1.2 – December 15, 2009</strong></p> <p><strong>Joachim Dahl & Lieven Vandenberghe</strong></p> <ul> <li class="toctree-l1"><a class="reference external" href="copyright.html">Copyright and License</a></li> <li class="toctree-l1"><a class="reference external" href="intro.html">Introduction</a></li> <li class="toctree-l1"><a class="reference external" href="matrices.html">Dense and Sparse Matrices</a><ul> <li class="toctree-l2"><a class="reference external" href="matrices.html#dense-matrices">Dense Matrices</a></li> <li class="toctree-l2"><a class="reference external" href="matrices.html#sparse-matrices">Sparse Matrices</a></li> <li class="toctree-l2"><a class="reference external" href="matrices.html#arithmetic-operations">Arithmetic Operations</a></li> <li class="toctree-l2"><a class="reference external" href="matrices.html#indexing-and-slicing">Indexing and Slicing</a></li> <li class="toctree-l2"><a class="reference external" href="matrices.html#attributes-and-methods">Attributes and Methods</a></li> <li class="toctree-l2"><a class="reference external" href="matrices.html#built-in-functions">Built-In Functions</a></li> <li class="toctree-l2"><a class="reference external" href="matrices.html#other-matrix-functions">Other Matrix Functions</a></li> <li class="toctree-l2"><a class="reference external" href="matrices.html#randomly-generated-matrices">Randomly Generated Matrices</a></li> <li class="toctree-l2"><a class="reference external" href="matrices.html#the-numpy-array-interface">The NumPy Array Interface</a></li> </ul> </li> <li class="toctree-l1"><a class="reference external" href="blas.html">The BLAS Interface</a><ul> <li class="toctree-l2"><a class="reference external" href="blas.html#matrix-classes">Matrix Classes</a></li> <li class="toctree-l2"><a class="reference external" href="blas.html#level-1-blas">Level 1 BLAS</a></li> <li class="toctree-l2"><a class="reference external" href="blas.html#level-2-blas">Level 2 BLAS</a></li> <li class="toctree-l2"><a class="reference external" href="blas.html#level-3-blas">Level 3 BLAS</a></li> </ul> </li> <li class="toctree-l1"><a class="reference external" href="lapack.html">The LAPACK Interface</a><ul> <li class="toctree-l2"><a class="reference external" href="lapack.html#general-linear-equations">General Linear Equations</a></li> <li class="toctree-l2"><a class="reference external" href="lapack.html#positive-definite-linear-equations">Positive Definite Linear Equations</a></li> <li class="toctree-l2"><a class="reference external" href="lapack.html#symmetric-and-hermitian-linear-equations">Symmetric and Hermitian Linear Equations</a></li> <li class="toctree-l2"><a class="reference external" href="lapack.html#triangular-linear-equations">Triangular Linear Equations</a></li> <li class="toctree-l2"><a class="reference external" href="lapack.html#least-squares-and-least-norm-problems">Least-Squares and Least-Norm Problems</a></li> <li class="toctree-l2"><a class="reference external" href="lapack.html#symmetric-and-hermitian-eigenvalue-decomposition">Symmetric and Hermitian Eigenvalue Decomposition</a></li> <li class="toctree-l2"><a class="reference external" href="lapack.html#generalized-symmetric-definite-eigenproblems">Generalized Symmetric Definite Eigenproblems</a></li> <li class="toctree-l2"><a class="reference external" href="lapack.html#singular-value-decomposition">Singular Value Decomposition</a></li> <li class="toctree-l2"><a class="reference external" href="lapack.html#schur-and-generalized-schur-factorization">Schur and Generalized Schur Factorization</a></li> <li class="toctree-l2"><a class="reference external" href="lapack.html#example-analytic-centering">Example: Analytic Centering</a></li> </ul> </li> <li class="toctree-l1"><a class="reference external" href="fftw.html">Discrete Transforms</a><ul> <li class="toctree-l2"><a class="reference external" href="fftw.html#discrete-fourier-transform">Discrete Fourier Transform</a></li> <li class="toctree-l2"><a class="reference external" href="fftw.html#discrete-cosine-transform">Discrete Cosine Transform</a></li> <li class="toctree-l2"><a class="reference external" href="fftw.html#discrete-sine-transform">Discrete Sine Transform</a></li> </ul> </li> <li class="toctree-l1"><a class="reference external" href="spsolvers.html">Sparse Linear Equations</a><ul> <li class="toctree-l2"><a class="reference external" href="spsolvers.html#matrix-orderings">Matrix Orderings</a></li> <li class="toctree-l2"><a class="reference external" href="spsolvers.html#general-linear-equations">General Linear Equations</a></li> <li class="toctree-l2"><a class="reference external" href="spsolvers.html#positive-definite-linear-equations">Positive Definite Linear Equations</a></li> <li class="toctree-l2"><a class="reference external" href="spsolvers.html#example-covariance-selection">Example: Covariance Selection</a></li> </ul> </li> <li class="toctree-l1"><a class="reference external" href="coneprog.html">Cone Programming</a><ul> <li class="toctree-l2"><a class="reference external" href="coneprog.html#linear-cone-programs">Linear Cone Programs</a></li> <li class="toctree-l2"><a class="reference external" href="coneprog.html#quadratic-cone-programs">Quadratic Cone Programs</a></li> <li class="toctree-l2"><a class="reference external" href="coneprog.html#linear-programming">Linear Programming</a></li> <li class="toctree-l2"><a class="reference external" href="coneprog.html#quadratic-programming">Quadratic Programming</a></li> <li class="toctree-l2"><a class="reference external" href="coneprog.html#second-order-cone-programming">Second-Order Cone Programming</a></li> <li class="toctree-l2"><a class="reference external" href="coneprog.html#semidefinite-programming">Semidefinite Programming</a></li> <li class="toctree-l2"><a class="reference external" href="coneprog.html#exploiting-structure">Exploiting Structure</a></li> <li class="toctree-l2"><a class="reference external" href="coneprog.html#optional-solvers">Optional Solvers</a></li> <li class="toctree-l2"><a class="reference external" href="coneprog.html#algorithm-parameters">Algorithm Parameters</a></li> </ul> </li> <li class="toctree-l1"><a class="reference external" href="solvers.html">Nonlinear Convex Optimization</a><ul> <li class="toctree-l2"><a class="reference external" href="solvers.html#problems-with-nonlinear-objectives">Problems with Nonlinear Objectives</a></li> <li class="toctree-l2"><a class="reference external" href="solvers.html#problems-with-linear-objectives">Problems with Linear Objectives</a></li> <li class="toctree-l2"><a class="reference external" href="solvers.html#geometric-programming">Geometric Programming</a></li> <li class="toctree-l2"><a class="reference external" href="solvers.html#exploiting-structure">Exploiting Structure</a></li> <li class="toctree-l2"><a class="reference external" href="solvers.html#algorithm-parameters">Algorithm Parameters</a></li> </ul> </li> <li class="toctree-l1"><a class="reference external" href="modeling.html">Modeling</a><ul> <li class="toctree-l2"><a class="reference external" href="modeling.html#variables">Variables</a></li> <li class="toctree-l2"><a class="reference external" href="modeling.html#functions">Functions</a></li> <li class="toctree-l2"><a class="reference external" href="modeling.html#constraints">Constraints</a></li> <li class="toctree-l2"><a class="reference external" href="modeling.html#optimization-problems">Optimization Problems</a></li> <li class="toctree-l2"><a class="reference external" href="modeling.html#examples">Examples</a></li> </ul> </li> <li class="toctree-l1"><a class="reference external" href="c-api.html">C API</a><ul> <li class="toctree-l2"><a class="reference external" href="c-api.html#dense-matrices">Dense Matrices</a></li> <li class="toctree-l2"><a class="reference external" href="c-api.html#sparse-matrices">Sparse Matrices</a></li> </ul> </li> <li class="toctree-l1"><a class="reference external" href="printing.html">Matrix Formatting</a></li> </ul> </div> </div> </div> </div> <div class="sphinxsidebar"> <div class="sphinxsidebarwrapper"> <h4>Next topic</h4> <p class="topless"><a href="copyright.html" title="next chapter">Copyright and License</a></p> <div id="searchbox" style="display: none"> <h3>Quick search</h3> <form class="search" action="search.html" method="get"> <input type="text" name="q" size="18" /> <input 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