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    <title>topic You have to adjust your in Intel® oneAPI Math Kernel Library</title>
    <link>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/Finding-inverse-of-a-binary-matrix-by-using-LAPACKE-dgetrf-and/m-p/1173861#M28744</link>
    <description>&lt;P&gt;You have to adjust your thinking to match the finite (i.e., limited) precision of machine floating point arithmetic. The following program will get you started.&lt;/P&gt;
&lt;PRE class="brush:cpp; class-name:dark;"&gt;#include &amp;lt;stdio.h&amp;gt;
int main(void){
double a=1.0, b=1.85037170770859e-17;
printf("%25.16f\n",a+b);
return 0;
}
&lt;/PRE&gt;

&lt;P&gt;&amp;nbsp;&lt;/P&gt;</description>
    <pubDate>Mon, 10 Dec 2018 16:22:49 GMT</pubDate>
    <dc:creator>mecej4</dc:creator>
    <dc:date>2018-12-10T16:22:49Z</dc:date>
    <item>
      <title>Finding inverse of a binary matrix by using LAPACKE_dgetrf and LAPACKE_dgetri</title>
      <link>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/Finding-inverse-of-a-binary-matrix-by-using-LAPACKE-dgetrf-and/m-p/1173860#M28743</link>
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&amp;nbsp;&amp;nbsp;&amp;nbsp; &amp;nbsp;1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,&lt;BR /&gt;&amp;nbsp;&amp;nbsp; &amp;nbsp;&amp;nbsp;&amp;nbsp; &amp;nbsp;&amp;nbsp;&amp;nbsp; &amp;nbsp;&amp;nbsp;&amp;nbsp; &amp;nbsp;&amp;nbsp;&amp;nbsp; &amp;nbsp;0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,&lt;BR /&gt;&amp;nbsp;&amp;nbsp; &amp;nbsp;&amp;nbsp;&amp;nbsp; &amp;nbsp;&amp;nbsp;&amp;nbsp; &amp;nbsp;&amp;nbsp;&amp;nbsp; &amp;nbsp;&amp;nbsp;&amp;nbsp; &amp;nbsp;0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1};&lt;/P&gt;&lt;P&gt;printf("LU info:%d\n",LAPACKE_dgetrf(LAPACK_ROW_MAJOR,m,n,D,lda,ipiv));&lt;/P&gt;&lt;P&gt;printf("Inverse Info:%d\n",LAPACKE_dgetri (LAPACK_ROW_MAJOR,N,D,lda,ipiv));&lt;/P&gt;&lt;P&gt;return 0;&lt;/P&gt;&lt;P&gt;&amp;nbsp;&lt;/P&gt;&lt;P&gt;&lt;STRONG&gt;Output:&amp;nbsp; &lt;/STRONG&gt;I'm getting expected inverse result of matrix A, except column no:16 (&lt;EM&gt;entire column values are 0&lt;/EM&gt;).&lt;/P&gt;&lt;P&gt;I've verified the result of LAPACKE_dgetrf.(Upto this everthing is perfect)&lt;/P&gt;&lt;P&gt;&lt;STRONG&gt;Could anyone explain me what is happing here and how to solve this problem?&lt;/STRONG&gt;&lt;/P&gt;&lt;P&gt;&lt;STRONG&gt;Expected 16&lt;SUP&gt;th &lt;/SUP&gt;col result is&lt;/STRONG&gt;:&lt;/P&gt;&lt;P&gt;0&lt;BR /&gt;1.85037170770859e-17&lt;BR /&gt;-1.85037170770859e-17&lt;BR /&gt;0&lt;BR /&gt;1.85037170770859e-17&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;1.85037170770859e-17&lt;BR /&gt;0&lt;BR /&gt;1.85037170770859e-17&lt;BR /&gt;0&lt;BR /&gt;1.85037170770859e-17&lt;BR /&gt;7.40148683083438e-17&lt;BR /&gt;1&lt;BR /&gt;-1.85037170770859e-17&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;1.85037170770859e-17&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;3.70074341541719e-17&lt;BR /&gt;0&lt;BR /&gt;1.85037170770859e-17&lt;BR /&gt;-1.85037170770859e-17&lt;BR /&gt;1.85037170770859e-17&lt;BR /&gt;-1.85037170770859e-17&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;-1.85037170770859e-17&lt;BR /&gt;0&lt;BR /&gt;1.85037170770859e-17&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;1.85037170770859e-17&lt;BR /&gt;-7.40148683083438e-17&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;3.70074341541719e-17&lt;BR /&gt;0&lt;BR /&gt;3.70074341541719e-17&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;-3.70074341541719e-17&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;-3.70074341541719e-17&lt;BR /&gt;-7.40148683083438e-17&lt;BR /&gt;1.85037170770859e-17&lt;BR /&gt;0&lt;BR /&gt;-1.85037170770859e-17&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;0&lt;BR /&gt;1.85037170770859e-17&lt;/P&gt;</description>
      <pubDate>Mon, 10 Dec 2018 10:08:40 GMT</pubDate>
      <guid>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/Finding-inverse-of-a-binary-matrix-by-using-LAPACKE-dgetrf-and/m-p/1173860#M28743</guid>
      <dc:creator>Chandramohan_V</dc:creator>
      <dc:date>2018-12-10T10:08:40Z</dc:date>
    </item>
    <item>
      <title>You have to adjust your</title>
      <link>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/Finding-inverse-of-a-binary-matrix-by-using-LAPACKE-dgetrf-and/m-p/1173861#M28744</link>
      <description>&lt;P&gt;You have to adjust your thinking to match the finite (i.e., limited) precision of machine floating point arithmetic. The following program will get you started.&lt;/P&gt;
&lt;PRE class="brush:cpp; class-name:dark;"&gt;#include &amp;lt;stdio.h&amp;gt;
int main(void){
double a=1.0, b=1.85037170770859e-17;
printf("%25.16f\n",a+b);
return 0;
}
&lt;/PRE&gt;

&lt;P&gt;&amp;nbsp;&lt;/P&gt;</description>
      <pubDate>Mon, 10 Dec 2018 16:22:49 GMT</pubDate>
      <guid>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/Finding-inverse-of-a-binary-matrix-by-using-LAPACKE-dgetrf-and/m-p/1173861#M28744</guid>
      <dc:creator>mecej4</dc:creator>
      <dc:date>2018-12-10T16:22:49Z</dc:date>
    </item>
    <item>
      <title>Quote:mecej4 wrote:</title>
      <link>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/Finding-inverse-of-a-binary-matrix-by-using-LAPACKE-dgetrf-and/m-p/1173862#M28745</link>
      <description>&lt;P&gt;&lt;/P&gt;&lt;BLOCKQUOTE&gt;mecej4 wrote:&lt;BR /&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;You have to adjust your thinking to match the finite (i.e., limited) precision of machine floating point arithmetic. The following program will get you started.&lt;/P&gt;
&lt;PRE&gt;#include &amp;lt;stdio.h&amp;gt;
int main(void){
double a=1.0, b=1.85037170770859e-17;
printf("%25.16f\n",a+b);
return 0;
}
&lt;/PRE&gt;

&lt;P&gt;&amp;nbsp;&lt;/P&gt;
&lt;P&gt;&lt;/P&gt;&lt;/BLOCKQUOTE&gt;&lt;P&gt;&lt;/P&gt;
&lt;P&gt;What you said is correct, but in other columns of the matrix I'm getting same value(1.85037170770859e-17). Here my question is that why 16th column result is going wrong? if floating point causes this problem, could you give me some suggestion to solve this problem?, I got nothing to solve this problem.&lt;/P&gt;</description>
      <pubDate>Tue, 11 Dec 2018 08:58:00 GMT</pubDate>
      <guid>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/Finding-inverse-of-a-binary-matrix-by-using-LAPACKE-dgetrf-and/m-p/1173862#M28745</guid>
      <dc:creator>Chandramohan_V</dc:creator>
      <dc:date>2018-12-11T08:58:00Z</dc:date>
    </item>
    <item>
      <title>Quote:mecej4 wrote:</title>
      <link>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/Finding-inverse-of-a-binary-matrix-by-using-LAPACKE-dgetrf-and/m-p/1173863#M28746</link>
      <description>&lt;P&gt;&lt;/P&gt;&lt;BLOCKQUOTE&gt;mecej4 wrote:&lt;BR /&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;You have to adjust your thinking to match the finite (i.e., limited) precision of machine floating point arithmetic. The following program will get you started.&lt;/P&gt;
&lt;PRE&gt;#include &amp;lt;stdio.h&amp;gt;
int main(void){
double a=1.0, b=1.85037170770859e-17;
printf("%25.16f\n",a+b);
return 0;
}
&lt;/PRE&gt;

&lt;P&gt;&amp;nbsp;&lt;/P&gt;
&lt;P&gt;&lt;/P&gt;&lt;/BLOCKQUOTE&gt;&lt;P&gt;&lt;/P&gt;
&lt;P&gt;&lt;STRONG&gt;Here I can't change my input matrix. Is there any alternative mkl functions to avoid this problem?&lt;/STRONG&gt;&lt;/P&gt;</description>
      <pubDate>Tue, 11 Dec 2018 11:15:04 GMT</pubDate>
      <guid>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/Finding-inverse-of-a-binary-matrix-by-using-LAPACKE-dgetrf-and/m-p/1173863#M28746</guid>
      <dc:creator>Chandramohan_V</dc:creator>
      <dc:date>2018-12-11T11:15:04Z</dc:date>
    </item>
    <item>
      <title>What you call a "problem" is</title>
      <link>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/Finding-inverse-of-a-binary-matrix-by-using-LAPACKE-dgetrf-and/m-p/1173864#M28747</link>
      <description>&lt;P&gt;What you call a "problem" is a simple fact of life as far as floating point arithmetic is concerned. When you are adding or subtracting two double precision reals, if the smaller of the two is less in magnitude than&amp;nbsp;ε&lt;SUB&gt;machine&lt;/SUB&gt; X the magnitude of the larger, the smaller number is, effectively, the same as zero. You have to develop a habit of reading 1.85e-17 as 0 when it is being compared with, added to, or subtracted from 1.0.&lt;/P&gt;&lt;P&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 1.000 000 000 000 000&lt;/P&gt;&lt;P&gt;&amp;nbsp; + 0.000 000 000 000 000 018 5&lt;/P&gt;&lt;P&gt;&amp;nbsp; = ?&lt;/P&gt;&lt;P&gt;on a calculator that can hold no more than 16 significant digits?&lt;/P&gt;</description>
      <pubDate>Tue, 11 Dec 2018 11:56:00 GMT</pubDate>
      <guid>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/Finding-inverse-of-a-binary-matrix-by-using-LAPACKE-dgetrf-and/m-p/1173864#M28747</guid>
      <dc:creator>mecej4</dc:creator>
      <dc:date>2018-12-11T11:56:00Z</dc:date>
    </item>
    <item>
      <title>@mecej4, Thank you for your</title>
      <link>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/Finding-inverse-of-a-binary-matrix-by-using-LAPACKE-dgetrf-and/m-p/1173865#M28748</link>
      <description>&lt;P&gt;@mecej4, Thank you for your reply.&lt;/P&gt;&lt;P&gt;I 100% understood what you said, but I want to achive the output of matlab function &lt;STRONG&gt;inv(D)&lt;/STRONG&gt;. could you give me some other approach to do further.&lt;/P&gt;&lt;P&gt;Thanks in advance.&lt;/P&gt;</description>
      <pubDate>Tue, 11 Dec 2018 13:32:59 GMT</pubDate>
      <guid>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/Finding-inverse-of-a-binary-matrix-by-using-LAPACKE-dgetrf-and/m-p/1173865#M28748</guid>
      <dc:creator>Chandramohan_V</dc:creator>
      <dc:date>2018-12-11T13:32:59Z</dc:date>
    </item>
  </channel>
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