https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/Comparison-of-MKL-DSS-with-PARDISO-and-MATLAB-for-indefinite/m-p/1728703#M37475 <P>Hello,&nbsp;</P><P>I have compared the solutions from using MKL DSS, MKL PARDISO, and MATLAB. This was motivated by the fact that DSS gives seemingly inaccurate solution when the matrix is badly conditioned, compared with PARDISO and MATLAB.&nbsp; In the attached files, I have two examples of unsymmetric indefinite (system) matrices:</P><P>&nbsp;</P><P>1. input_matrix_ex1: small matrix</P><P>&nbsp;</P><P>2. input_matrix_ex2: larger matrix (badly conditioned)</P><P>&nbsp;</P><P>In the second example, the DSS solution is significantly different from those using MKL PARDISO and MATLAB, see the figures below.</P><P>&nbsp;</P><P>My question is&nbsp;<STRONG>what makes the difference of solutions between DSS and PARDISO?&nbsp;</STRONG></P><P>&nbsp;</P><P><span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="comparison_dss_pardiso_matlab.png" style="width: 875px;"><img src="https://community.intel.com/t5/image/serverpage/image-id/70149iC3F4B4A589B5E754/image-size/large/is-moderation-mode/true?v=v2&amp;px=999&amp;whitelist-exif-data=Orientation%2CResolution%2COriginalDefaultFinalSize%2CCopyright" role="button" title="comparison_dss_pardiso_matlab.png" alt="comparison_dss_pardiso_matlab.png" /></span><span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="comparison_dss_pardiso_matlab_magnified.png" style="width: 875px;"><img src="https://community.intel.com/t5/image/serverpage/image-id/70148i463A4199798F085B/image-size/large/is-moderation-mode/true?v=v2&amp;px=999&amp;whitelist-exif-data=Orientation%2CResolution%2COriginalDefaultFinalSize%2CCopyright" role="button" title="comparison_dss_pardiso_matlab_magnified.png" alt="comparison_dss_pardiso_matlab_magnified.png" /></span></P><P>&nbsp;</P><P>Thank you.</P><P>&nbsp;</P> Tue, 02 Dec 2025 12:43:32 GMT mchoi 2025-12-02T12:43:32Z https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/Comparison-of-MKL-DSS-with-PARDISO-and-MATLAB-for-indefinite/m-p/1728703#M37475 <P>Hello,&nbsp;</P><P>I have compared the solutions from using MKL DSS, MKL PARDISO, and MATLAB. This was motivated by the fact that DSS gives seemingly inaccurate solution when the matrix is badly conditioned, compared with PARDISO and MATLAB.&nbsp; In the attached files, I have two examples of unsymmetric indefinite (system) matrices:</P><P>&nbsp;</P><P>1. input_matrix_ex1: small matrix</P><P>&nbsp;</P><P>2. input_matrix_ex2: larger matrix (badly conditioned)</P><P>&nbsp;</P><P>In the second example, the DSS solution is significantly different from those using MKL PARDISO and MATLAB, see the figures below.</P><P>&nbsp;</P><P>My question is&nbsp;<STRONG>what makes the difference of solutions between DSS and PARDISO?&nbsp;</STRONG></P><P>&nbsp;</P><P><span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="comparison_dss_pardiso_matlab.png" style="width: 875px;"><img src="https://community.intel.com/t5/image/serverpage/image-id/70149iC3F4B4A589B5E754/image-size/large/is-moderation-mode/true?v=v2&amp;px=999&amp;whitelist-exif-data=Orientation%2CResolution%2COriginalDefaultFinalSize%2CCopyright" role="button" title="comparison_dss_pardiso_matlab.png" alt="comparison_dss_pardiso_matlab.png" /></span><span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="comparison_dss_pardiso_matlab_magnified.png" style="width: 875px;"><img src="https://community.intel.com/t5/image/serverpage/image-id/70148i463A4199798F085B/image-size/large/is-moderation-mode/true?v=v2&amp;px=999&amp;whitelist-exif-data=Orientation%2CResolution%2COriginalDefaultFinalSize%2CCopyright" role="button" title="comparison_dss_pardiso_matlab_magnified.png" alt="comparison_dss_pardiso_matlab_magnified.png" /></span></P><P>&nbsp;</P><P>Thank you.</P><P>&nbsp;</P> Tue, 02 Dec 2025 12:43:32 GMT https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/Comparison-of-MKL-DSS-with-PARDISO-and-MATLAB-for-indefinite/m-p/1728703#M37475 mchoi 2025-12-02T12:43:32Z