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</o:shapelayout></xml><![endif]--></head><body lang=FR link=blue vlink=purple><div class=WordSection1><p class=MsoNormal><span style='font-family:"Calibri","sans-serif"'>Dear all,<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Calibri","sans-serif"'><o:p> </o:p></span></p><p class=MsoNormal><span style='font-family:"Calibri","sans-serif"'><o:p> </o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:"Calibri","sans-serif"'>May I ask some advice in matrix calculation issue, in order to optimize the code ?<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:"Calibri","sans-serif"'><o:p> </o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:"Calibri","sans-serif"'>The matrix hereafter is the first trial in treating a (m x 6) matrix where :<o:p></o:p></span></p><p class=MsoListParagraph style='text-indent:-18.0pt;mso-list:l0 level1 lfo1'><![if !supportLists]><span lang=EN-US style='font-family:"Calibri","sans-serif"'><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span lang=EN-US style='font-family:"Calibri","sans-serif"'>The first line is the upper part of a symmetrical 6x6 tensor (the 3 first components are the diagonal terms)<o:p></o:p></span></p><p class=MsoListParagraph style='text-indent:-18.0pt;mso-list:l0 level1 lfo1'><![if !supportLists]><span lang=EN-US style='font-family:"Calibri","sans-serif"'><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span lang=EN-US style='font-family:"Calibri","sans-serif"'>m may correspond to millions of lines<o:p></o:p></span></p><p class=MsoListParagraph style='text-indent:-18.0pt;mso-list:l0 level1 lfo1'><![if !supportLists]><span lang=EN-US style='font-family:"Calibri","sans-serif"'><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span lang=EN-US style='font-family:"Calibri","sans-serif"'>(each line is independent from the other)<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:"Calibri","sans-serif"'><o:p> </o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:"Calibri","sans-serif"'>I had a look in some function (such as schur, spec, bdiag and so on) in order to see if I can use this symmetrical specificity … but I don’t see anything </span><span lang=EN-US style='font-family:Wingdings'>č</span><span lang=EN-US style='font-family:"Calibri","sans-serif"'> Am I wrong ?<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:"Calibri","sans-serif"'><o:p> </o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:"Calibri","sans-serif"'>Several calculations will be done: Eigen values calculation for each submatrix, summation, multiplication and so on …<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:"Calibri","sans-serif"'><o:p> </o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:"Calibri","sans-serif"'>Vectorization can be useful to improve speedup ?<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:"Calibri","sans-serif"'><o:p> </o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:"Calibri","sans-serif"'>Any advices ?<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:"Calibri","sans-serif"'><o:p> </o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:"Calibri","sans-serif"'>Thanks in advance<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:"Calibri","sans-serif"'><o:p> </o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:"Calibri","sans-serif"'>Paul<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:"Calibri","sans-serif"'><o:p> </o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:"Calibri","sans-serif"'>PS : M is made from a text file … its structure can be change in order to be as efficient as possible …<o:p></o:p></span></p><p class=MsoListParagraph><span lang=EN-US style='font-family:"Calibri","sans-serif"'><o:p> </o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:"Calibri","sans-serif"'>Mat = [<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:"Calibri","sans-serif"'> 9.315 9.315 28.41 - 0.0000999 - 3.169 - 3.169 ; <br> 2.945 2.945 28.45 0.04826 - 3.175 - 3.175 ;<br> 8.486 9.341 25.73 0.0101 - 3.179 - 3.189 ;<br> 2.043 2.939 25.73 0.038 - 3.185 - 3.182 ;<br> 9.341 8.486 25.73 0.0101 - 3.189 - 3.179 ;<br> 2.939 2.043 25.73 0.038 - 3.182 - 3.185 ;<br> 8.492 8.492 23. 0.02036 - 3.179 - 3.179 ;<br> 2.018 2.018 22.97 0.02779 - 3.172 - 3.172 ;<br> 9.108 8.179 25.01 0.01326 - 3.197 - 1.608 ;<br> 4.695 2.302 25.04 0.0905 - 3.199 - 1.61 ;<br> 8.271 8.186 22.27 0.02824 - 3.212 - 1.601 ; <br> 3.842 2.302 22.29 0.07548 - 3.214 - 1.599 ; <br> 9.134 8.128 24.91 0.01554 - 3.278 - 1.61 ; <br> 4.675 2.145 24.9 0.08819 - 3.276 - 1.612 ; <o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:"Calibri","sans-serif"'> …<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:"Calibri","sans-serif"'> … <br> 8.291 8.129 22.16 0.03055 - 3.263 - 1.598 ] ;<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:"Calibri","sans-serif"'> sub11 sub22 sub33 sub12 sub23 sub13 … where sub is a submatrix == 1 line<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-size:11.0pt;font-family:"Calibri","sans-serif"'><o:p> </o:p></span></p></div></body></html>