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<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt">The “expected” solution is not a solution of the equations you forwarded:<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><i style="mso-bidi-font-style:normal"><font size="2" color="#0070c0" face="Times New Roman"><span style="font-size:10.0pt;mso-bidi-font-size:10.5pt;font-family:"Times New Roman",serif;color:#0070C0;font-style:italic;mso-bidi-font-style:normal">-->
Q([1.496447;-0.9574371],0)<o:p></o:p></span></font></i></p>
<p class="MsoPlainText"><i style="mso-bidi-font-style:normal"><font size="2" color="#0070c0" face="Times New Roman"><span style="font-size:10.0pt;mso-bidi-font-size:10.5pt;font-family:"Times New Roman",serif;color:#0070C0;font-style:italic;mso-bidi-font-style:normal"><span class="SpellE">ans</span><span style="mso-spacerun:yes">
</span>=<o:p></o:p></span></font></i></p>
<p class="MsoPlainText"><i style="mso-bidi-font-style:normal"><font size="2" color="#0070c0" face="Times New Roman"><span style="font-size:10.0pt;mso-bidi-font-size:10.5pt;font-family:"Times New Roman",serif;color:#0070C0;font-style:italic;mso-bidi-font-style:normal"><span style="mso-spacerun:yes">
</span>- 7.659497<span style="mso-spacerun:yes"> </span><o:p></o:p></span></font></i></p>
<p class="MsoPlainText"><i style="mso-bidi-font-style:normal"><font size="2" color="#0070c0" face="Times New Roman"><span style="font-size:10.0pt;mso-bidi-font-size:10.5pt;font-family:"Times New Roman",serif;color:#0070C0;font-style:italic;mso-bidi-font-style:normal"><span style="mso-spacerun:yes"> </span>-
0.0000001<span style="mso-spacerun:yes"> </span><o:p></o:p></span></font></i></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><o:p> </o:p></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt">Therefore there is probably a typo in the Q function forwarded.<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><o:p> </o:p></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt">Plugin-in the
<span class="SpellE">fsolve</span> solution into the Q-function does output zeros:<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><i style="mso-bidi-font-style:normal"><font size="2" color="#0070c0" face="Times New Roman"><span style="font-size:10.0pt;mso-bidi-font-size:10.5pt;font-family:"Times New Roman",serif;color:#0070C0;font-style:italic;mso-bidi-font-style:normal">-->Q([1.496447;0.9574371],0)<o:p></o:p></span></font></i></p>
<p class="MsoPlainText"><i style="mso-bidi-font-style:normal"><font size="2" color="#0070c0" face="Times New Roman"><span style="font-size:10.0pt;mso-bidi-font-size:10.5pt;font-family:"Times New Roman",serif;color:#0070C0;font-style:italic;mso-bidi-font-style:normal"><span class="SpellE">ans</span><span style="mso-spacerun:yes">
</span>=<o:p></o:p></span></font></i></p>
<p class="MsoPlainText"><i style="mso-bidi-font-style:normal"><font size="2" color="#0070c0" face="Times New Roman"><span style="font-size:10.0pt;mso-bidi-font-size:10.5pt;font-family:"Times New Roman",serif;color:#0070C0;font-style:italic;mso-bidi-font-style:normal"><span style="mso-spacerun:yes">
</span>- 0.0000002<span style="mso-spacerun:yes"> </span><o:p></o:p></span></font></i></p>
<p class="MsoPlainText"><i style="mso-bidi-font-style:normal"><font size="2" color="#0070c0" face="Times New Roman"><span style="font-size:10.0pt;mso-bidi-font-size:10.5pt;font-family:"Times New Roman",serif;color:#0070C0;font-style:italic;mso-bidi-font-style:normal"><span style="mso-spacerun:yes"> </span>-
0.0000001<span style="mso-spacerun:yes"> </span><o:p></o:p></span></font></i></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><o:p> </o:p></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt">-----Original Message-----<br>
From: users [mailto:users-bounces@lists.scilab.org] On Behalf Of Hermes<br>
Sent: Sunday, September 17, 2017 11:52 AM<br>
To: users@lists.scilab.org<br>
Subject: Re: [Scilab-users] solve a system of equations in <span class="SpellE">scilab</span></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><o:p> </o:p></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt">Hi, Rafael<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt">In my case,<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt">by setting as initial values [1.5, -0.9]<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt">I get:<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt">1.496447<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt">0.9574371<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt">I always get the second positive value, when it is expected to be negative.<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt">clear;<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt">function Sys=Q(<span class="SpellE">x,z</span>)<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt">Sys(1)=(x(1)-2)^2+(x(2)+2)^2+z^2-9;<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt">Sys(2)=x(1)^6+x(2)^6+z^6-12;<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><span class="SpellE"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt">endfunction</span></span></font></span><o:p></o:p></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt">z=0;<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><o:p> </o:p></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt">a=[0,0;1,0;1.2,-1;1.5,-0.9]<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt">for
<span class="SpellE">i</span> = 1:3<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt">[<span class="SpellE">j,v,info</span>]=<span class="SpellE">fsolve</span>(a(<span class="SpellE">i</span>,:)',list(<span class="SpellE">Q,z</span>))<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><span class="SpellE"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt">disp</span></span></font></span>(<span class="SpellE">j,v,"results",a</span>(<span class="SpellE">i</span>,:),"<span class="SpellE">inc</span>;",<span class="SpellE">i</span>)
<o:p></o:p></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt">end<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><o:p> </o:p></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt">in this script with several initial values, in the last pair of values, the<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt">solution is negative for the two variables, when in fact it is expected:<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><o:p> </o:p></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt">and to my pairs the results are changed with respect to the variables<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt">/<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt">--> exec('C:\Users\<span class="SpellE">hermesr</span>\Documents\Scilab
<span class="SpellE">Xcos</span>\fsolve_eje19.sce', -1)<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><o:p> </o:p></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt"><span style="mso-spacerun:yes">
</span>1.<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><o:p> </o:p></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt"><span class="SpellE">inc</span>;<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><o:p> </o:p></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt"><span style="mso-spacerun:yes">
</span>0.<span style="mso-spacerun:yes"> </span>0.<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><o:p> </o:p></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt">results<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><o:p> </o:p></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt"><span style="mso-spacerun:yes"> </span>0.<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt"><span style="mso-spacerun:yes">
</span>1.243D-14<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><o:p> </o:p></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt"><span style="mso-spacerun:yes">
</span>-0.9574371<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt"><span style="mso-spacerun:yes">
</span>-1.496447<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><o:p> </o:p></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt"><span style="mso-spacerun:yes">
</span>2.<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><o:p> </o:p></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt"><span class="SpellE">inc</span>;<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><o:p> </o:p></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt"><span style="mso-spacerun:yes">
</span>1.<span style="mso-spacerun:yes"> </span>0.<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><o:p> </o:p></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt">results<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><o:p> </o:p></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt"><span style="mso-spacerun:yes">
</span>1.137D-13<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt"><span style="mso-spacerun:yes">
</span>1.345D-11<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><o:p> </o:p></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt"><span style="mso-spacerun:yes">
</span>1.496447<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt"><span style="mso-spacerun:yes">
</span>0.9574371<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><o:p> </o:p></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt"><span style="mso-spacerun:yes">
</span>3.<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><o:p> </o:p></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt"><span class="SpellE">inc</span>;<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><o:p> </o:p></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt"><span style="mso-spacerun:yes">
</span>1.2<span style="mso-spacerun:yes"> </span>-1.<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><o:p> </o:p></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt">results<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><o:p> </o:p></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt"><span style="mso-spacerun:yes">
</span>0.<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt"><span style="mso-spacerun:yes">
</span>-1.599D-14/<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><o:p> </o:p></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt">* -0.9574371<o:p></o:p></span></span></font></p>
<p class="MsoPlainText"><font size="2" face="Calibri"><span style="font-size:11.0pt"><span style="mso-bidi-font-size:10.5pt"><span style="mso-spacerun:yes">
</span>-1.496447*<o:p></o:p></span></span></font></p>
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