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    <title>topic FGMRES for pentadiagonal matrix in Intel® oneAPI Math Kernel Library</title>
    <link>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/FGMRES-for-pentadiagonal-matrix/m-p/1062177#M21754</link>
    <description>&lt;P&gt;Hello,&lt;/P&gt;

&lt;P&gt;I am new to Fortran intel MKL. I am trying to use the FGMRES with ILUT preconditioner for solving the Penta diagonal&amp;nbsp;matrix &lt;SPAN style="font-size: 13.008px;"&gt;(A*x=b.)&lt;/SPAN&gt;&amp;nbsp;resulting from discretization of 3D convection-diffusion&amp;nbsp;equation. The coefficient&amp;nbsp;matrix is naturally stored in a band format.&amp;nbsp;&lt;/P&gt;

&lt;P&gt;Since ILUT is using CSR storage, how can I convert the band storage format to CSR format?&amp;nbsp;&lt;/P&gt;

&lt;P&gt;Also, for matrix-vector multiplication step, &amp;nbsp;for my case do I have to multiply inv(A)*b? I am confused about this.&amp;nbsp;&lt;/P&gt;

&lt;P&gt;&amp;nbsp;&lt;/P&gt;

&lt;P&gt;Regards,&lt;/P&gt;

&lt;P&gt;Elsayed&lt;/P&gt;</description>
    <pubDate>Sun, 23 Oct 2016 17:29:45 GMT</pubDate>
    <dc:creator>Elsayed_A_</dc:creator>
    <dc:date>2016-10-23T17:29:45Z</dc:date>
    <item>
      <title>FGMRES for pentadiagonal matrix</title>
      <link>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/FGMRES-for-pentadiagonal-matrix/m-p/1062177#M21754</link>
      <description>&lt;P&gt;Hello,&lt;/P&gt;

&lt;P&gt;I am new to Fortran intel MKL. I am trying to use the FGMRES with ILUT preconditioner for solving the Penta diagonal&amp;nbsp;matrix &lt;SPAN style="font-size: 13.008px;"&gt;(A*x=b.)&lt;/SPAN&gt;&amp;nbsp;resulting from discretization of 3D convection-diffusion&amp;nbsp;equation. The coefficient&amp;nbsp;matrix is naturally stored in a band format.&amp;nbsp;&lt;/P&gt;

&lt;P&gt;Since ILUT is using CSR storage, how can I convert the band storage format to CSR format?&amp;nbsp;&lt;/P&gt;

&lt;P&gt;Also, for matrix-vector multiplication step, &amp;nbsp;for my case do I have to multiply inv(A)*b? I am confused about this.&amp;nbsp;&lt;/P&gt;

&lt;P&gt;&amp;nbsp;&lt;/P&gt;

&lt;P&gt;Regards,&lt;/P&gt;

&lt;P&gt;Elsayed&lt;/P&gt;</description>
      <pubDate>Sun, 23 Oct 2016 17:29:45 GMT</pubDate>
      <guid>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/FGMRES-for-pentadiagonal-matrix/m-p/1062177#M21754</guid>
      <dc:creator>Elsayed_A_</dc:creator>
      <dc:date>2016-10-23T17:29:45Z</dc:date>
    </item>
    <item>
      <title>you may try to convert from</title>
      <link>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/FGMRES-for-pentadiagonal-matrix/m-p/1062178#M21755</link>
      <description>&lt;P&gt;you may try to convert from band to dense representation and then call&amp;nbsp;&lt;SPAN class="kwd" style="box-sizing: border-box; font-family: &amp;quot;Courier New&amp;quot;, Courier, monospace; color: rgb(102, 102, 102); font-size: 13px;"&gt;mkl_ddnscsr&lt;/SPAN&gt;&lt;SPAN style="color: rgb(102, 102, 102); font-family: Arial, Tahoma, Helvetica, sans-serif; font-size: 13px;"&gt;&amp;nbsp;to c&lt;/SPAN&gt;&lt;SPAN style="color: rgb(102, 102, 102); font-family: Arial, Tahoma, Helvetica, sans-serif; font-size: 13px;"&gt;onvert from dense to CSR format&lt;/SPAN&gt;&lt;/P&gt;</description>
      <pubDate>Mon, 24 Oct 2016 03:50:12 GMT</pubDate>
      <guid>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/FGMRES-for-pentadiagonal-matrix/m-p/1062178#M21755</guid>
      <dc:creator>Gennady_F_Intel</dc:creator>
      <dc:date>2016-10-24T03:50:12Z</dc:date>
    </item>
    <item>
      <title>Gennady,</title>
      <link>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/FGMRES-for-pentadiagonal-matrix/m-p/1062179#M21756</link>
      <description>&lt;P&gt;Gennady,&lt;/P&gt;

&lt;P&gt;Thanks for your prompt reply. Actually, this is what I am doing. My question then is how&amp;nbsp;&lt;SPAN style="font-size: 12px;"&gt;to convert from band to dense representation.&lt;/SPAN&gt;&lt;/P&gt;</description>
      <pubDate>Mon, 24 Oct 2016 03:57:00 GMT</pubDate>
      <guid>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/FGMRES-for-pentadiagonal-matrix/m-p/1062179#M21756</guid>
      <dc:creator>Elsayed_A_</dc:creator>
      <dc:date>2016-10-24T03:57:00Z</dc:date>
    </item>
    <item>
      <title>at this moment, MKL doesn't</title>
      <link>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/FGMRES-for-pentadiagonal-matrix/m-p/1062180#M21757</link>
      <description>&lt;P&gt;at this moment, MKL doesn't provide such sort of conversion routine&amp;nbsp;&lt;/P&gt;</description>
      <pubDate>Mon, 24 Oct 2016 09:40:01 GMT</pubDate>
      <guid>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/FGMRES-for-pentadiagonal-matrix/m-p/1062180#M21757</guid>
      <dc:creator>Gennady_F_Intel</dc:creator>
      <dc:date>2016-10-24T09:40:01Z</dc:date>
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