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    <title>topic Information on the results of parallelizing algorithms for fast matrix multiplication using dgemm Intel MKL in Intel® oneAPI Math Kernel Library</title>
    <link>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/Information-on-the-results-of-parallelizing-algorithms-for-fast/m-p/787819#M1973</link>
    <description>Parallel algorithms for fast matrix multiplication is non-trivial task because of the large number of quadratic operations: necessary to minimize the amount of the allocation of additional memory and it does not sacrifice speed multiplication. My recent advances in this field for 3-square matrices 16000 * 16000, located in memory and processed according to the formula C = C + A * B: my 129 seconds to 186 seconds dgemm Intel MKL (OS XP x64, the processor i7 860, 8 gigabytes of memory 1333 Mhz). The positive effect of parallelization beginning to affect the matrix is not less than 1500 * 1500. As a basic function of multiplication on the leaves of the recursion tree used dgemm Intel MKL. Created and fast algorithm for multiplication without allocating additional memory: this prize is more modest - about 8/7 on the speed dgemm Intel MKL on large matrices. There has been a positive effect for the case when one of the non-square matrices:I use it to speed up many problems in linear algebra, starting from the solution of systems of linear equations and ending with a singular analysis.</description>
    <pubDate>Thu, 01 Jul 2010 07:26:24 GMT</pubDate>
    <dc:creator>yuriisig</dc:creator>
    <dc:date>2010-07-01T07:26:24Z</dc:date>
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      <title>Information on the results of parallelizing algorithms for fast matrix multiplication using dgemm Intel MKL</title>
      <link>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/Information-on-the-results-of-parallelizing-algorithms-for-fast/m-p/787819#M1973</link>
      <description>Parallel algorithms for fast matrix multiplication is non-trivial task because of the large number of quadratic operations: necessary to minimize the amount of the allocation of additional memory and it does not sacrifice speed multiplication. My recent advances in this field for 3-square matrices 16000 * 16000, located in memory and processed according to the formula C = C + A * B: my 129 seconds to 186 seconds dgemm Intel MKL (OS XP x64, the processor i7 860, 8 gigabytes of memory 1333 Mhz). The positive effect of parallelization beginning to affect the matrix is not less than 1500 * 1500. As a basic function of multiplication on the leaves of the recursion tree used dgemm Intel MKL. Created and fast algorithm for multiplication without allocating additional memory: this prize is more modest - about 8/7 on the speed dgemm Intel MKL on large matrices. There has been a positive effect for the case when one of the non-square matrices:I use it to speed up many problems in linear algebra, starting from the solution of systems of linear equations and ending with a singular analysis.</description>
      <pubDate>Thu, 01 Jul 2010 07:26:24 GMT</pubDate>
      <guid>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/Information-on-the-results-of-parallelizing-algorithms-for-fast/m-p/787819#M1973</guid>
      <dc:creator>yuriisig</dc:creator>
      <dc:date>2010-07-01T07:26:24Z</dc:date>
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