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copied!<p>You might find some useful results at the bottom of this link</p> <p><a href="http://wiki.scipy.org/PerformancePython" rel="noreferrer">http://wiki.scipy.org/PerformancePython</a></p> <p>From the introduction,</p> <blockquote> <p>A comparison of weave with NumPy, Pyrex, Psyco, Fortran (77 and 90) and C++ for solving Laplace's equation.</p> </blockquote> <p>It also compares MATLAB and seems to show similar speeds to when using Python and <a href="http://en.wikipedia.org/wiki/NumPy" rel="noreferrer">NumPy</a>.</p> <p>Of course this is only a specific example, your application might be allow better or worse performance. There is no harm in running the same test on both and comparing.</p> <p>You can also compile NumPy with optimized libraries such as <a href="http://en.wikipedia.org/wiki/Automatically_Tuned_Linear_Algebra_Software" rel="noreferrer">ATLAS</a> which provides some <a href="http://en.wikipedia.org/wiki/Basic_Linear_Algebra_Subprograms" rel="noreferrer">BLAS</a>/<a href="http://en.wikipedia.org/wiki/LAPACK" rel="noreferrer">LAPACK</a> routines. These should be of comparable speed to MATLAB. </p> <p>I'm not sure if the NumPy downloads are already built against it, but I think ATLAS will tune libraries to your system if you compile NumPy,</p> <p><a href="http://www.scipy.org/Installing_SciPy/Windows" rel="noreferrer">http://www.scipy.org/Installing_SciPy/Windows</a></p> <p>The link has more details on what is required under the Windows platform.</p> <p>EDIT:</p> <p>If you want to find out what performs better, C or C++, it might be worth asking a new question. Although from the link above C++ has best performance. Other solutions are quite close too i.e. Pyrex, Python/Fortran (using f2py) and inline C++.</p> <p>The only matrix algebra under C++ I have ever done was using <a href="http://www.osl.iu.edu/research/mtl/" rel="noreferrer">MTL</a> and implementing an Extended Kalman Filter. I guess, though, in essence it depends on the libraries you are using LAPACK/BLAS and how well optimised it is. </p> <p>This link has a list of object-oriented numerical packages for many languages.</p> <p><a href="http://www.oonumerics.org/oon/" rel="noreferrer">http://www.oonumerics.org/oon/</a></p>

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