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    <title>topic block tridiagonal and block upper hessenberg eigenvalue solvers in Intel® oneAPI Math Kernel Library</title>
    <link>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/block-tridiagonal-and-block-upper-hessenberg-eigenvalue-solvers/m-p/1034287#M20318</link>
    <description>&lt;P&gt;Dear all,&lt;/P&gt;

&lt;P&gt;I am looking at some options in order to compare the performance of eigenvalue solvers for&lt;/P&gt;

&lt;P&gt;+ symmetric block tridiagonal&amp;nbsp;&lt;/P&gt;

&lt;P&gt;+ block upper hessenberg matrices.&lt;/P&gt;

&lt;P&gt;If I iterate in a single vector fashion(not in blocks), I can use stevd and hseqr, respectively(I guess), since the manual and selection tree points to these routines.&lt;/P&gt;

&lt;P&gt;But if I convert to block iteration mode, is there a direct replacement for these routines when the matrices become block symmetric tridiagonal or block upper hessenberg.&lt;/P&gt;

&lt;P&gt;What would be the most efficient way for the computation of the eigenvalues and eigenvectors in the case of block iterations for a symmetric and hessenberg matrix?&lt;/P&gt;

&lt;P&gt;Best,&lt;/P&gt;

&lt;P&gt;Umut&lt;/P&gt;</description>
    <pubDate>Fri, 24 Oct 2014 09:31:34 GMT</pubDate>
    <dc:creator>utab</dc:creator>
    <dc:date>2014-10-24T09:31:34Z</dc:date>
    <item>
      <title>block tridiagonal and block upper hessenberg eigenvalue solvers</title>
      <link>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/block-tridiagonal-and-block-upper-hessenberg-eigenvalue-solvers/m-p/1034287#M20318</link>
      <description>&lt;P&gt;Dear all,&lt;/P&gt;

&lt;P&gt;I am looking at some options in order to compare the performance of eigenvalue solvers for&lt;/P&gt;

&lt;P&gt;+ symmetric block tridiagonal&amp;nbsp;&lt;/P&gt;

&lt;P&gt;+ block upper hessenberg matrices.&lt;/P&gt;

&lt;P&gt;If I iterate in a single vector fashion(not in blocks), I can use stevd and hseqr, respectively(I guess), since the manual and selection tree points to these routines.&lt;/P&gt;

&lt;P&gt;But if I convert to block iteration mode, is there a direct replacement for these routines when the matrices become block symmetric tridiagonal or block upper hessenberg.&lt;/P&gt;

&lt;P&gt;What would be the most efficient way for the computation of the eigenvalues and eigenvectors in the case of block iterations for a symmetric and hessenberg matrix?&lt;/P&gt;

&lt;P&gt;Best,&lt;/P&gt;

&lt;P&gt;Umut&lt;/P&gt;</description>
      <pubDate>Fri, 24 Oct 2014 09:31:34 GMT</pubDate>
      <guid>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/block-tridiagonal-and-block-upper-hessenberg-eigenvalue-solvers/m-p/1034287#M20318</guid>
      <dc:creator>utab</dc:creator>
      <dc:date>2014-10-24T09:31:34Z</dc:date>
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