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</o:shapelayout></xml><![endif]--></head><body lang=FR link=blue vlink=purple><div class=WordSection1><p class=MsoNormal><span lang=EN-US>Dear All,<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><o:p> </o:p></span></p><p class=MsoNormal><span lang=EN-US>A funny result for calculating the norm of a tensor … for ounce a “traditional” method (that probably uses vectorization in back stage) is faster than the norm function …<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><o:p> </o:p></span></p><p class=MsoNormal><span lang=EN-US>Paul<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><o:p> </o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif";color:#32B9B9'>mode</span><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>0</span><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif";color:black'>;</span><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif"'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif"'><o:p> </o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif";color:black'>A</span><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif"'> <span style='color:#5C5C5C'>=</span> <span style='color:#4A55DB'>[</span> <span style='color:rosybrown'>1</span> <span style='color:rosybrown'>2</span> <span style='color:rosybrown'>3</span> <span style='color:black'>;</span> <span style='color:rosybrown'>4</span> <span style='color:rosybrown'>5</span> <span style='color:rosybrown'>6</span><span style='color:black'>;</span> <span style='color:rosybrown'>7</span> <span style='color:rosybrown'>8</span> <span style='color:rosybrown'>9</span><span style='color:#4A55DB'>]</span><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif";color:black'>n</span><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif"'> <span style='color:#5C5C5C'>=</span> <span style='color:rosybrown'>1000</span><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif";color:#A020F0'>for</span><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif"'> <span style='color:black'>i</span> <span style='color:#5C5C5C'>=</span> <span style='color:rosybrown'>1</span> <span style='color:#FFAA00'>:</span> <span style='color:black'>n</span><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif"'> <span style='color:#A020F0'>for</span> <span style='color:black'>j</span> <span style='color:#5C5C5C'>=</span> <span style='color:rosybrown'>1</span> <span style='color:#FFAA00'>:</span> <span style='color:black'>n</span><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif"'> <span style='color:black'>B</span><span style='color:#4A55DB'>(</span><span style='color:black'>i,j</span><span style='color:#4A55DB'>)</span> <span style='color:#5C5C5C'>=</span> <span style='color:black'>i</span><span style='color:#5C5C5C'>*</span><span style='color:black'>j;</span><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif"'> <span style='color:#A020F0'>end</span><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif";color:#A020F0'>end</span><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif"'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif"'><o:p> </o:p></span></p><p class=MsoNormal><i><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif";color:#01A801'>// Scilab function</span></i><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif"'><o:p></o:p></span></p><p class=MsoNormal><u><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif";color:#AE5CB0'>tic</span></u><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>()</span><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif";color:black'>;</span><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif"'><o:p></o:p></span></p><p class=MsoNormal><u><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif";color:#AE5CB0'>norm</span></u><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif";color:black'>B</span><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif"'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif";color:black'>t1</span><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif"'> <span style='color:#5C5C5C'>=</span> <u><span style='color:#AE5CB0'>toc</span></u><span style='color:#4A55DB'>()</span><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif"'><o:p> </o:p></span></p><p class=MsoNormal><i><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif";color:#01A801'>// "traditional" method</span></i><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif"'><o:p></o:p></span></p><p class=MsoNormal><i><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif";color:#01A801'>// norm = sqrt(trace(A_transp * A))</span></i><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif"'><o:p></o:p></span></p><p class=MsoNormal><u><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif";color:#AE5CB0'>tic</span></u><span lang=EN-US style='font-size:10.5pt;font-family:"Monospaced","serif"'><o:p></o:p></span></p><p class=MsoNormal><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:black'>norm_</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> <span style='color:#5C5C5C'>=</span> <span style='color:#4A55DB'>(</span><u><span style='color:#AE5CB0'>trace</span></u><span style='color:#4A55DB'>(</span><span style='color:black'>B</span><span style='color:#5C5C5C'>'*</span><span style='color:black'>B</span><span style='color:#4A55DB'>))</span><span style='color:#5C5C5C'>**</span><span style='color:rosybrown'>0.5</span><o:p></o:p></span></p><p class=MsoNormal><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:black'>t2</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> <span style='color:#5C5C5C'>=</span> <u><span style='color:#AE5CB0'>toc</span></u><span style='color:#4A55DB'>()</span><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><o:p> </o:p></span></p></div></body></html>