Enhancing Multicore System Performance Using Parallel Computing with MATLAB

نویسنده

  • Piotr Luszczek
چکیده

A Typical Numerical Computing Problem To illustrate the two paradigms, we will use MATLAB to test a hypothesis regarding Girko’s circular law. Girko’s law states that the eigenvalues of a random N-by-N matrix whose elements are drawn from a normal distribution tend to lie inside a circle of radius sqrt(N) for large enough N. Our hypothesis is that Girko’s circular law can be modified to apply to singular values. The hypothesis is justified because singular values are eigenvalues of a modified matrix. Applying our modified Girko’s law could save computation time by enabling us to estimate the singular values for any normally random matrix without performing singular value decomposition (SVD). By Piotr Luszczek

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تاریخ انتشار 2009