boost_1_45_0/libs/numeric/ublas/doc/index.htm - nest-learning-thermostat/5.0/boost - Git at Google

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 <h1><img src="../../../../boost.png" align="middle" alt="logo"/>Basic Linear Algebra Library</h1>
 <div class="toc" id="toc"></div>

 <p>uBLAS is a C++ template class library that provides <a href="http://www.netlib.org/blas">BLAS</a> level 1, 2, 3
 functionality for dense, packed and sparse matrices. The design and implementation unify mathematical notation via
 operator overloading and efficient code generation via expression templates.</p>

 <h2>Functionality</h2>

 <p>uBLAS provides templated C++ classes for dense, unit and sparse vectors, dense, identity, triangular, banded,
 symmetric, hermitian and sparse matrices. Views into vectors and matrices can be constructed via ranges, slices,
 adaptor classes and indirect arrays. The library covers the usual basic linear algebra operations on vectors and matrices: reductions like
 different norms, addition and subtraction of vectors and matrices and multiplication with a scalar, inner and outer
 products of vectors, matrix vector and matrix matrix products and triangular solver. The glue between containers, views
 and expression templated operations is a mostly <a href="http://www.sgi.com/tech/stl">STL</a> conforming iterator interface.</p>
 <p>Please consult the <a href="release_notes.htm">release notes</a> for details on the latest changes.</p>

 <h2>Documentation</h2>

 <ul>
 <li><big><a href="overview.htm">Overview</a></big>
 <ul>
 <li><a href="overview.htm#rationale">Rationale</a>
 </li>

 <li><a href="overview.htm#functionality">Functionality</a>
 </li>

 <li><a href="types_overview.htm">Overview of Matrix- and Vector-Types</a>
 </li>

 <li><a href="operations_overview.htm">Overview of Matrix and Vector Operations</a>
 </li>

 <li><a href="#further_information">Effective uBLAS and further information</a>
 </li>

 <li><a href="options.htm">Macros and Preprocessor Options</a>
 </li>
 </ul>
 </li>

 <li><a href="vector.htm">Vector</a>
 <ul>
 <li><a href="vector.htm#vector">Vector</a>
 </li>

 <li><a href="vector.htm#unit_vector">Unit Vector</a>
 </li>

 <li><a href="vector.htm#zero_vector">Zero Vector</a>
 </li>

 <li><a href="vector.htm#scalar_vector">Scalar Vector</a>
 </li>
 </ul>
 </li>

 <li><a href="vector_sparse.htm">Sparse Vector</a>
 <ul>
 <li><a href="vector_sparse.htm#mapped_vector">Mapped Vector</a>
 </li>

 <li><a href="vector_sparse.htm#compressed_vector">Compressed Vector</a>
 </li>

 <li><a href="vector_sparse.htm#coordinate_vector">Coordinate Vector</a>
 </li>
 </ul>
 </li>

 <li><a href="vector_proxy.htm">Vector Proxies</a>
 <ul>
 <li><a href="vector_proxy.htm#vector_range">Vector Range</a>
 </li>

 <li><a href="vector_proxy.htm#vector_slice">Vector Slice</a>
 </li>
 </ul>
 </li>

 <li><a href="vector_expression.htm">Vector Expressions</a>
 <ul>
 <li><a href="vector_expression.htm#vector_expression">Vector Expression</a>
 </li>

 <li><a href="vector_expression.htm#vector_references">Vector References</a>
 </li>

 <li><a href="vector_expression.htm#vector_operations">Vector Operations</a>
 </li>

 <li><a href="vector_expression.htm#vector_reductions">Vector Reductions</a>
 </li>
 </ul>
 </li>

 <li><a href="matrix.htm">Matrix</a>
 <ul>
 <li><a href="matrix.htm#matrix">Matrix</a>
 </li>

 <li><a href="matrix.htm#identity_matrix">Identity Matrix</a>
 </li>

 <li><a href="matrix.htm#zero_matrix">Zero Matrix</a>
 </li>

 <li><a href="matrix.htm#scalar_matrix">Scalar Matrix</a>
 </li>
 </ul>
 </li>

 <li><a href="triangular.htm">Triangular Matrix</a>
 <ul>
 <li><a href="triangular.htm#triangular_matrix">Triangular Matrix</a>
 </li>

 <li><a href="triangular.htm#triangular_adaptor">Triangular Adaptor</a>
 </li>
 </ul>
 </li>

 <li><a href="symmetric.htm">Symmetric Matrix</a>
 <ul>
 <li><a href="symmetric.htm#symmetric_matrix">Symmetric Matrix</a>
 </li>

 <li><a href="symmetric.htm#symmetric_adaptor">Symmetric Adaptor</a>
 </li>
 </ul>
 </li>

 <li><a href="hermitian.htm">Hermitian Matrix</a>
 <ul>
 <li><a href="hermitian.htm#hermitian_matrix">Hermitian Matrix</a>
 </li>

 <li><a href="hermitian.htm#hermitian_adaptor">Hermitian Adaptor</a>
 </li>
 </ul>
 </li>

 <li><a href="banded.htm">Banded Matrix</a>
 <ul>
 <li><a href="banded.htm#banded_matrix">Banded Matrix</a>
 </li>

 <li><a href="banded.htm#banded_adaptor">Banded Adaptor</a>
 </li>
 </ul>
 </li>

 <li><a href="matrix_sparse.htm">Sparse Matrix</a>
 <ul>
 <li><a href="matrix_sparse.htm#mapped_matrix">Mapped Matrix</a>
 </li>

 <li><a href="matrix_sparse.htm#compressed_matrix">Compressed Matrix</a>
 </li>

 <li><a href="matrix_sparse.htm#coordinate_matrix">Coordinate Matrix</a>
 </li>
 </ul>
 </li>

 <li><a href="matrix_proxy.htm">Matrix Proxies</a>
 <ul>
 <li><a href="matrix_proxy.htm#matrix_row">Matrix Row</a>
 </li>

 <li><a href="matrix_proxy.htm#matrix_column">Matrix Column</a>
 </li>

 <li><a href="matrix_proxy.htm#vector_range">Vector Range</a>
 </li>

 <li><a href="matrix_proxy.htm#vector_slice">Vector Slice</a>
 </li>

 <li><a href="matrix_proxy.htm#matrix_range">Matrix Range</a>
 </li>

 <li><a href="matrix_proxy.htm#matrix_slice">Matrix Slice</a>
 </li>
 </ul>
 </li>

 <li><a href="matrix_expression.htm">Matrix Expressions</a>
 <ul>
 <li><a href="matrix_expression.htm#matrix_expression">Matrix Expression</a>
 </li>

 <li><a href="matrix_expression.htm#matrix_references">Matrix References</a>
 </li>

 <li><a href="matrix_expression.htm#matrix_operations">Matrix Operations</a>
 </li>

 <li><a href="matrix_expression.htm#matrix_vector_operations">Matrix Vector Operations</a>
 </li>

 <li><a href="matrix_expression.htm#matrix_matrix_operations">Matrix Matrix Operations</a>
 </li>
 </ul>
 </li>

 <li>Storage and special containers

 <ul>
 <li><a href="unbounded_array.htm">Unbounded Array</a>
 </li>

 <li><a href="bounded_array.htm">Bounded Array</a>
 </li>

 <li><a href="range.htm#range">Range</a>
 </li>

 <li><a href="range.htm#slice">Slice</a>
 </li>
 </ul></li>

 <li><a href="storage_sparse.htm">Sparse Storage</a>
 <ul>
 <li><a href="storage_sparse.htm#map_std">Default Standard Map</a>
 </li>

 <li><a href="storage_sparse.htm#map_array">Map Array</a>
 </li>
 </ul>
 </li>

 <li>Operations &amp; Functions

 <ul>
 <li><a href="products.htm">Special Products</a>
 </li>

 <li><a href="blas.htm">BLAS</a>
 </li>
 </ul></li>

 <li>uBLAS Concept definitions

 <ul>
 <li><a href="container_concept.htm">Container Concepts</a>
 <ul>
 <li><a href="container_concept.htm#vector">Vector</a>
 </li>

 <li><a href="container_concept.htm#matrix">Matrix</a>
 </li>
 </ul>
 </li>

 <li><a href="expression_concept.htm">Expression Concepts</a>
 <ul>
 <li><a href="expression_concept.htm#scalar_expression">Scalar Expression</a>
 </li>

 <li><a href="expression_concept.htm#vector_expression">Vector Expression</a>
 </li>

 <li><a href="expression_concept.htm#matrix_expression">Matrix Expression</a>
 </li>
 </ul>
 </li>

 <li><a href="storage_concept.htm">Storage Concept</a>
 </li>

 <li><a href="iterator_concept.htm">Iterator Concepts</a>
 <ul>
 <li><a href="iterator_concept.htm#indexed_bidirectional_iterator">Indexed Bidirectional Iterator</a>
 </li>

 <li><a href="iterator_concept.htm#indexed_random_access_iterator">Indexed Random Access Iterator</a>
 </li>

 <li><a href="iterator_concept.htm#indexed_bidirectional_cr_iterator">Indexed Bidirectional Column/Row Iterator</a>
 </li>

 <li><a href="iterator_concept.htm#indexed_random_access_cr_iterator">Indexed Random Access Column/Row Iterator</a>
 </li>
 </ul>
 </li>
 </ul></li>
 </ul>

 <h2>API Reference Documentation</h2>
 A full Reference documenation is available on <a href="html/index.html">this page</a>.

 <h2>Supported Platforms</h2>

 <p>The current version of uBLAS expects a modern (ISO standard compliant) compiler. Compilers targeted and tested with
 this release are:</p>

 <ul>
 <li>GCC 3.2.3, 3.3.x, 3.4.x, 4.0.x</li>

 <li>MSVC 7.1, 8.0</li>

 <li>ICC 8.0, 8.1</li>

 <li>Visual age 6</li>

 <li>Codewarrior 9.4, 9.5</li>
 </ul>

 <p>The version of uBLAS in Boost 1.32.0 (and earlier) support many older compilers. If you are using such a compiler
 please use this version of uBLAS. Compilers known to accept this older library are:</p>

 <ul>
 <li>MSVC 6.0 with STLPort-4.5.3, 7.0, 7.1</li>

 <li>GCC 2.95.x, 3.0.x, 3.1.x, 3.2.x, 3.3.x, 3.4.x</li>

 <li>ICC 7.0, 7.1 8.0</li>

 <li>Comeau 4.2.x</li>

 <li>Codewarrior 8.3</li>
 </ul>

 <p>For possible problems please consider to consult the Boost regression tests.</p>
 <a name="further_information" id="further_information"></a>
 <h2>Known limitations:</h2>

 <ul type="disc">
 <li>The implementation assumes a linear memory address model.</li>

 <li>Tuning was focussed on dense matrices.</li>
 </ul>

 <h2>Further Information</h2>

 <h3>Project Location and Download</h3>

 <p>The latest stable release of uBLAS is part of the <a href="http://www.boost.org">Boost</a> libraries.</p>

 <h3>Documentation and Discussion</h3>

 <p>Visit the <a href="http://www.crystalclearsoftware.com/cgi-bin/boost_wiki/wiki.pl?Effective_UBLAS">Effective
 uBLAS</a> wiki for up to date information and contributions.</p>

 <p>There is also an active uBLAS <a href="http://lists.boost.org/">mailing list</a> where uBLAS specific user and
 development questions are answered.</p>

 <h3>uBLAS and Boost Project</h3>

 <p>There is also an active uBLAS <a href="http://lists.boost.org/">mailing list</a> where uBLAS specific from the
 latest uBLAS project code. You can <a href="http://cvs.sourceforge.net/cgi-bin/viewcvs.cgi/boost">view</a> the Boost
 CVS archive directly. You will find the library <a href=
 "http://cvs.sourceforge.net/cgi-bin/viewcvs.cgi/boost/boost/boost/numeric/ublas/">here</a>. Documentation and test
 programs reside <a href="http://cvs.sourceforge.net/cgi-bin/viewcvs.cgi/boost/boost/libs/numeric/ublas/">here</a>.</p>

 <h2>Authors and Credits</h2>

 <p>uBLAS initially was written by Joerg Walter and Mathias Koch. We would like to thank all, which supported and
 contributed to the development of this library: David Abrahams, Ed Brey, Fernando Cacciola, Juan Jose Gomez Cadenas,
 Beman Dawes, Matt Davies, Bob Fletcher, Kresimir Fresl, Joachim Kessel, Patrick Kowalzick, Toon Knapen, Hendrik Kueck,
 John Maddock, Jens Maurer, Alexei Novakov, Gary Powell, Joachim Pyras, Peter Schmitteckert, Jeremy Siek, Markus Steffl,
 Michael Stevens, Benedikt Weber, Martin Weiser, Gunter Winkler, Marc Zimmermann, David Bellot, Marco Guazzone, Nasos Iliopoulus, the members of <a href="http://www.boost.org">Boost</a> and all others contributors around the world. I promise I will try to add their names to this list.</p>

 <h2>Frequently Asked Questions</h2>

 <p>Q: I'm running the uBLAS dense vector and matrix benchmarks. Why do I see a significant performance difference
 between the native C and library implementations?<br />
 A: uBLAS distinguishes debug mode (size and type conformance checks enabled, expression templates disabled) and release
 mode (size and type conformance checks disabled, expression templates enabled). Please check, if the preprocessor
 symbol <code>NDEBUG</code> of <code>cassert</code> is defined. <code>NDEBUG</code> enables release mode, which in turn
 uses expression templates. You can optionally define <code>BOOST_UBLAS_NDEBUG</code> to disable all bounds, structure
 and similar checks of uBLAS.</p>

 <p>Q: I've written some uBLAS tests, which try to incorrectly assign different matrix types or overrun vector and
 matrix dimensions. Why don't I get a compile time or runtime diagnostic?<br />
 A: uBLAS distinguishes debug mode (size and type conformance checks enabled, expression templates disabled) and release
 mode (size and type conformance checks disabled, expression templates enabled). Please check, if the preprocessor
 symbol <code>NDEBUG</code> of <code>cassert</code> is defined. <code>NDEBUG</code> disables debug mode, which is needed
 to get size and type conformance checks.</p>

 <p>Q: I've written some uBLAS benchmarks to measure the performance of matrix chain multiplications like <code>prod (A,
 prod (B, C))</code> and see a significant performance penalty due to the use of expression templates. How can I disable
 expression templates?<br />
 A: You do not need to disable expression templates. Please try reintroducing temporaries using either <code>prod
 (A,</code> <code><em>matrix_type</em></code> <code>(prod (B, C)))</code> or <code>prod (A,
 prod&lt;</code><code><em>matrix_type</em></code> <code>&gt; (B, C))</code>.</p>

 <hr />

 <p>Copyright (&copy;) 2000-2010 Joerg Walter, Mathias Koch, Gunter Winkler, David Bellot<br />
 Use, modification and distribution are subject to the Boost Software License, Version 1.0. (See accompanying file
 LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt">http://www.boost.org/LICENSE_1_0.txt</a>
 ).</p>
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	</head>
	<body>
	<h1><img src="../../../../boost.png" align="middle" alt="logo"/>Basic Linear Algebra Library</h1>
	<div class="toc" id="toc"></div>

	<p>uBLAS is a C++ template class library that provides <a href="http://www.netlib.org/blas">BLAS</a> level 1, 2, 3
	functionality for dense, packed and sparse matrices. The design and implementation unify mathematical notation via
	operator overloading and efficient code generation via expression templates.</p>

	<h2>Functionality</h2>

	<p>uBLAS provides templated C++ classes for dense, unit and sparse vectors, dense, identity, triangular, banded,
	symmetric, hermitian and sparse matrices. Views into vectors and matrices can be constructed via ranges, slices,
	adaptor classes and indirect arrays. The library covers the usual basic linear algebra operations on vectors and matrices: reductions like
	different norms, addition and subtraction of vectors and matrices and multiplication with a scalar, inner and outer
	products of vectors, matrix vector and matrix matrix products and triangular solver. The glue between containers, views
	and expression templated operations is a mostly <a href="http://www.sgi.com/tech/stl">STL</a> conforming iterator interface.</p>
	<p>Please consult the <a href="release_notes.htm">release notes</a> for details on the latest changes.</p>

	<h2>Documentation</h2>

	<ul>
	<li><big><a href="overview.htm">Overview</a></big>
	<ul>
	<li><a href="overview.htm#rationale">Rationale</a>
	</li>

	<li><a href="overview.htm#functionality">Functionality</a>
	</li>

	<li><a href="types_overview.htm">Overview of Matrix- and Vector-Types</a>
	</li>

	<li><a href="operations_overview.htm">Overview of Matrix and Vector Operations</a>
	</li>

	<li><a href="#further_information">Effective uBLAS and further information</a>
	</li>

	<li><a href="options.htm">Macros and Preprocessor Options</a>
	</li>
	</ul>
	</li>

	<li><a href="vector.htm">Vector</a>
	<ul>
	<li><a href="vector.htm#vector">Vector</a>
	</li>

	<li><a href="vector.htm#unit_vector">Unit Vector</a>
	</li>

	<li><a href="vector.htm#zero_vector">Zero Vector</a>
	</li>

	<li><a href="vector.htm#scalar_vector">Scalar Vector</a>
	</li>
	</ul>
	</li>

	<li><a href="vector_sparse.htm">Sparse Vector</a>
	<ul>
	<li><a href="vector_sparse.htm#mapped_vector">Mapped Vector</a>
	</li>

	<li><a href="vector_sparse.htm#compressed_vector">Compressed Vector</a>
	</li>

	<li><a href="vector_sparse.htm#coordinate_vector">Coordinate Vector</a>
	</li>
	</ul>
	</li>

	<li><a href="vector_proxy.htm">Vector Proxies</a>
	<ul>
	<li><a href="vector_proxy.htm#vector_range">Vector Range</a>
	</li>

	<li><a href="vector_proxy.htm#vector_slice">Vector Slice</a>
	</li>
	</ul>
	</li>

	<li><a href="vector_expression.htm">Vector Expressions</a>
	<ul>
	<li><a href="vector_expression.htm#vector_expression">Vector Expression</a>
	</li>

	<li><a href="vector_expression.htm#vector_references">Vector References</a>
	</li>

	<li><a href="vector_expression.htm#vector_operations">Vector Operations</a>
	</li>

	<li><a href="vector_expression.htm#vector_reductions">Vector Reductions</a>
	</li>
	</ul>
	</li>

	<li><a href="matrix.htm">Matrix</a>
	<ul>
	<li><a href="matrix.htm#matrix">Matrix</a>
	</li>

	<li><a href="matrix.htm#identity_matrix">Identity Matrix</a>
	</li>

	<li><a href="matrix.htm#zero_matrix">Zero Matrix</a>
	</li>

	<li><a href="matrix.htm#scalar_matrix">Scalar Matrix</a>
	</li>
	</ul>
	</li>

	<li><a href="triangular.htm">Triangular Matrix</a>
	<ul>
	<li><a href="triangular.htm#triangular_matrix">Triangular Matrix</a>
	</li>

	<li><a href="triangular.htm#triangular_adaptor">Triangular Adaptor</a>
	</li>
	</ul>
	</li>

	<li><a href="symmetric.htm">Symmetric Matrix</a>
	<ul>
	<li><a href="symmetric.htm#symmetric_matrix">Symmetric Matrix</a>
	</li>

	<li><a href="symmetric.htm#symmetric_adaptor">Symmetric Adaptor</a>
	</li>
	</ul>
	</li>

	<li><a href="hermitian.htm">Hermitian Matrix</a>
	<ul>
	<li><a href="hermitian.htm#hermitian_matrix">Hermitian Matrix</a>
	</li>

	<li><a href="hermitian.htm#hermitian_adaptor">Hermitian Adaptor</a>
	</li>
	</ul>
	</li>

	<li><a href="banded.htm">Banded Matrix</a>
	<ul>
	<li><a href="banded.htm#banded_matrix">Banded Matrix</a>
	</li>

	<li><a href="banded.htm#banded_adaptor">Banded Adaptor</a>
	</li>
	</ul>
	</li>

	<li><a href="matrix_sparse.htm">Sparse Matrix</a>
	<ul>
	<li><a href="matrix_sparse.htm#mapped_matrix">Mapped Matrix</a>
	</li>

	<li><a href="matrix_sparse.htm#compressed_matrix">Compressed Matrix</a>
	</li>

	<li><a href="matrix_sparse.htm#coordinate_matrix">Coordinate Matrix</a>
	</li>
	</ul>
	</li>

	<li><a href="matrix_proxy.htm">Matrix Proxies</a>
	<ul>
	<li><a href="matrix_proxy.htm#matrix_row">Matrix Row</a>
	</li>

	<li><a href="matrix_proxy.htm#matrix_column">Matrix Column</a>
	</li>

	<li><a href="matrix_proxy.htm#vector_range">Vector Range</a>
	</li>

	<li><a href="matrix_proxy.htm#vector_slice">Vector Slice</a>
	</li>

	<li><a href="matrix_proxy.htm#matrix_range">Matrix Range</a>
	</li>

	<li><a href="matrix_proxy.htm#matrix_slice">Matrix Slice</a>
	</li>
	</ul>
	</li>

	<li><a href="matrix_expression.htm">Matrix Expressions</a>
	<ul>
	<li><a href="matrix_expression.htm#matrix_expression">Matrix Expression</a>
	</li>

	<li><a href="matrix_expression.htm#matrix_references">Matrix References</a>
	</li>

	<li><a href="matrix_expression.htm#matrix_operations">Matrix Operations</a>
	</li>

	<li><a href="matrix_expression.htm#matrix_vector_operations">Matrix Vector Operations</a>
	</li>

	<li><a href="matrix_expression.htm#matrix_matrix_operations">Matrix Matrix Operations</a>
	</li>
	</ul>
	</li>

	<li>Storage and special containers

	<ul>
	<li><a href="unbounded_array.htm">Unbounded Array</a>
	</li>

	<li><a href="bounded_array.htm">Bounded Array</a>
	</li>

	<li><a href="range.htm#range">Range</a>
	</li>

	<li><a href="range.htm#slice">Slice</a>
	</li>
	</ul></li>

	<li><a href="storage_sparse.htm">Sparse Storage</a>
	<ul>
	<li><a href="storage_sparse.htm#map_std">Default Standard Map</a>
	</li>

	<li><a href="storage_sparse.htm#map_array">Map Array</a>
	</li>
	</ul>
	</li>

	<li>Operations & Functions

	<ul>
	<li><a href="products.htm">Special Products</a>
	</li>

	<li><a href="blas.htm">BLAS</a>
	</li>
	</ul></li>

	<li>uBLAS Concept definitions

	<ul>
	<li><a href="container_concept.htm">Container Concepts</a>
	<ul>
	<li><a href="container_concept.htm#vector">Vector</a>
	</li>

	<li><a href="container_concept.htm#matrix">Matrix</a>
	</li>
	</ul>
	</li>

	<li><a href="expression_concept.htm">Expression Concepts</a>
	<ul>
	<li><a href="expression_concept.htm#scalar_expression">Scalar Expression</a>
	</li>

	<li><a href="expression_concept.htm#vector_expression">Vector Expression</a>
	</li>

	<li><a href="expression_concept.htm#matrix_expression">Matrix Expression</a>
	</li>
	</ul>
	</li>

	<li><a href="storage_concept.htm">Storage Concept</a>
	</li>

	<li><a href="iterator_concept.htm">Iterator Concepts</a>
	<ul>
	<li><a href="iterator_concept.htm#indexed_bidirectional_iterator">Indexed Bidirectional Iterator</a>
	</li>

	<li><a href="iterator_concept.htm#indexed_random_access_iterator">Indexed Random Access Iterator</a>
	</li>

	<li><a href="iterator_concept.htm#indexed_bidirectional_cr_iterator">Indexed Bidirectional Column/Row Iterator</a>
	</li>

	<li><a href="iterator_concept.htm#indexed_random_access_cr_iterator">Indexed Random Access Column/Row Iterator</a>
	</li>
	</ul>
	</li>
	</ul></li>
	</ul>

	<h2>API Reference Documentation</h2>
	A full Reference documenation is available on <a href="html/index.html">this page</a>.

	<h2>Supported Platforms</h2>

	<p>The current version of uBLAS expects a modern (ISO standard compliant) compiler. Compilers targeted and tested with
	this release are:</p>

	<ul>
	<li>GCC 3.2.3, 3.3.x, 3.4.x, 4.0.x</li>

	<li>MSVC 7.1, 8.0</li>

	<li>ICC 8.0, 8.1</li>

	<li>Visual age 6</li>

	<li>Codewarrior 9.4, 9.5</li>
	</ul>

	<p>The version of uBLAS in Boost 1.32.0 (and earlier) support many older compilers. If you are using such a compiler
	please use this version of uBLAS. Compilers known to accept this older library are:</p>

	<ul>
	<li>MSVC 6.0 with STLPort-4.5.3, 7.0, 7.1</li>

	<li>GCC 2.95.x, 3.0.x, 3.1.x, 3.2.x, 3.3.x, 3.4.x</li>

	<li>ICC 7.0, 7.1 8.0</li>

	<li>Comeau 4.2.x</li>

	<li>Codewarrior 8.3</li>
	</ul>

	<p>For possible problems please consider to consult the Boost regression tests.</p>
	<a name="further_information" id="further_information"></a>
	<h2>Known limitations:</h2>

	<ul type="disc">
	<li>The implementation assumes a linear memory address model.</li>

	<li>Tuning was focussed on dense matrices.</li>
	</ul>

	<h2>Further Information</h2>

	<h3>Project Location and Download</h3>

	<p>The latest stable release of uBLAS is part of the <a href="http://www.boost.org">Boost</a> libraries.</p>

	<h3>Documentation and Discussion</h3>

	<p>Visit the <a href="http://www.crystalclearsoftware.com/cgi-bin/boost_wiki/wiki.pl?Effective_UBLAS">Effective
	uBLAS</a> wiki for up to date information and contributions.</p>

	<p>There is also an active uBLAS <a href="http://lists.boost.org/">mailing list</a> where uBLAS specific user and
	development questions are answered.</p>

	<h3>uBLAS and Boost Project</h3>

	<p>There is also an active uBLAS <a href="http://lists.boost.org/">mailing list</a> where uBLAS specific from the
	latest uBLAS project code. You can <a href="http://cvs.sourceforge.net/cgi-bin/viewcvs.cgi/boost">view</a> the Boost
	CVS archive directly. You will find the library <a href=
	"http://cvs.sourceforge.net/cgi-bin/viewcvs.cgi/boost/boost/boost/numeric/ublas/">here</a>. Documentation and test
	programs reside <a href="http://cvs.sourceforge.net/cgi-bin/viewcvs.cgi/boost/boost/libs/numeric/ublas/">here</a>.</p>

	<h2>Authors and Credits</h2>

	<p>uBLAS initially was written by Joerg Walter and Mathias Koch. We would like to thank all, which supported and
	contributed to the development of this library: David Abrahams, Ed Brey, Fernando Cacciola, Juan Jose Gomez Cadenas,
	Beman Dawes, Matt Davies, Bob Fletcher, Kresimir Fresl, Joachim Kessel, Patrick Kowalzick, Toon Knapen, Hendrik Kueck,
	John Maddock, Jens Maurer, Alexei Novakov, Gary Powell, Joachim Pyras, Peter Schmitteckert, Jeremy Siek, Markus Steffl,
	Michael Stevens, Benedikt Weber, Martin Weiser, Gunter Winkler, Marc Zimmermann, David Bellot, Marco Guazzone, Nasos Iliopoulus, the members of <a href="http://www.boost.org">Boost</a> and all others contributors around the world. I promise I will try to add their names to this list.</p>

	<h2>Frequently Asked Questions</h2>

	<p>Q: I'm running the uBLAS dense vector and matrix benchmarks. Why do I see a significant performance difference
	between the native C and library implementations?<br />
	A: uBLAS distinguishes debug mode (size and type conformance checks enabled, expression templates disabled) and release
	mode (size and type conformance checks disabled, expression templates enabled). Please check, if the preprocessor
	symbol <code>NDEBUG</code> of <code>cassert</code> is defined. <code>NDEBUG</code> enables release mode, which in turn
	uses expression templates. You can optionally define <code>BOOST_UBLAS_NDEBUG</code> to disable all bounds, structure
	and similar checks of uBLAS.</p>

	<p>Q: I've written some uBLAS tests, which try to incorrectly assign different matrix types or overrun vector and
	matrix dimensions. Why don't I get a compile time or runtime diagnostic?<br />
	A: uBLAS distinguishes debug mode (size and type conformance checks enabled, expression templates disabled) and release
	mode (size and type conformance checks disabled, expression templates enabled). Please check, if the preprocessor
	symbol <code>NDEBUG</code> of <code>cassert</code> is defined. <code>NDEBUG</code> disables debug mode, which is needed
	to get size and type conformance checks.</p>

	<p>Q: I've written some uBLAS benchmarks to measure the performance of matrix chain multiplications like <code>prod (A,
	prod (B, C))</code> and see a significant performance penalty due to the use of expression templates. How can I disable
	expression templates?<br />
	A: You do not need to disable expression templates. Please try reintroducing temporaries using either <code>prod
	(A,</code> <code><em>matrix_type</em></code> <code>(prod (B, C)))</code> or <code>prod (A,
	prod<</code><code><em>matrix_type</em></code> <code>> (B, C))</code>.</p>

	<hr />

	<p>Copyright (©) 2000-2010 Joerg Walter, Mathias Koch, Gunter Winkler, David Bellot<br />
	Use, modification and distribution are subject to the Boost Software License, Version 1.0. (See accompanying file
	LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt">http://www.boost.org/LICENSE_1_0.txt</a>
	).</p>
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