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<p><big>Here is a code that correspond to your wish:</big></p>
<br>
<font color="#3333ff">initv = [1 0 0 0 0];<br>
Smat = [-0.7 0.061984965 0 0.111572936 0.200831285;<br>
0 -1.4 0.5 0 0;<br>
0 0 -0.9 0 0;<br>
0 0.5 0 -1.4 0;<br>
0 0 0 0.5 -0.5];<br>
<br>
onevec = [1 1 1 1 1];<br>
<br>
S0vec = [0.325610814; 0.9; 0.9; 0.9; 0];<br>
<br>
// Dichtefunktion :<br>
function y=f(x)<br>
y=initv*expm(Smat*x)*S0vec<br>
endfunction<br>
<br>
<br>
scf(1); //create figure 1<br>
clf(1); //clear figure 1<br>
x= linspace(0,20,101);<br>
<br>
<br>
plot(x,feval(x,f))<br>
<br>
xlabel('x'); ylabel('f(x)')<br>
<br>
title('Dichtefunktion von TBPS')<br>
</font><br>
<br>
You can also write it as follow<br>
<br>
<br>
<font color="#3333ff">// Dichtefunktion :<br>
function y=f(x,init,A,vec)<br>
y=init*expm(A*x)*vec<br>
endfunction<br>
....<br>
</font><font color="#3333ff">plot(x,feval(x,list(f,initv,Smat,S0vec))</font><br>
<br>
<br>
<br>
Le 29/11/2012 17:55, Svenja Lagershausen a écrit :<br>
</div>
<blockquote
cite="mid:3B1BC2B45D704A4A908879D3C3BADF0D77DB8E@uranos.finance.local"
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<p class="MsoNormal">Dear users, <o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal"><span lang="EN-US">I would like to plot a
function f(x) that contains matrix operations. <br>
Correctly, it looks like this (obtained by Mathematica):<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-family:Courier"><img
id="Bild_x0020_1"
src="cid:part1.06060509.00060107@inria.fr" height="225"
width="360"></span><span lang="EN-US"><br>
<br>
<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US">Do you know how to do
this? <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">My code is:<o:p></o:p></span></p>
<div
style="mso-element:para-border-div;border:none;border-bottom:solid
windowtext 1.5pt;padding:0cm 0cm 1.0pt 0cm">
<p class="MsoNormal" style="border:none;padding:0cm"><span
lang="EN-US"><o:p> </o:p></span></p>
</div>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><i><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#64AE64"
lang="EN-US">//Löschen der Variablen</span></i><span
style="font-size:10.5pt;font-family:"Monospaced","serif""
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#32B9B9"
lang="EN-US">clear</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif""
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><i><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#64AE64"
lang="EN-US">//Bereinigen der Konsole</span></i><span
style="font-size:10.5pt;font-family:"Monospaced","serif""
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#32B9B9"
lang="EN-US">clc</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif""
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><i><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#64AE64"
lang="EN-US">// S. Lagershausen</span></i><span
style="font-size:10.5pt;font-family:"Monospaced","serif""
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><i><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#64AE64"
lang="EN-US">// 2</span></i><i><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#64AE64">9.11.2012</span></i><span
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""><o:p> </o:p></span></p>
<p class="MsoNormal"><i><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#64AE64">//
System : M = 3, n = 3, Expo - vtlte Bz., mu1 = 0.7, mu2 =
0.5, mu3 = 0.9</span></i><span
style="font-size:10.5pt;font-family:"Monospaced","serif""><o:p></o:p></span></p>
<p class="MsoNormal"><i><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#64AE64">//
E[TBPS] = 2.59664365</span></i><span
style="font-size:10.5pt;font-family:"Monospaced","serif""><o:p></o:p></span></p>
<p class="MsoNormal"><i><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#64AE64">//
CV[TBPS] = 0.908682321</span></i><span
style="font-size:10.5pt;font-family:"Monospaced","serif""><o:p></o:p></span></p>
<p class="MsoNormal"><i><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#64AE64">//
Daten der Verteilung der Zeit zw.
Bearbeitungsbeginnzeitpunkten an Station 1 :</span></i><span
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""><o:p> </o:p></span></p>
<p class="MsoNormal"><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:black">initv</span><span
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">0</span> <span
style="color:rosybrown">0</span> <span
style="color:rosybrown">0</span> <span
style="color:rosybrown">0</span><span
style="color:#4A55DB">}</span><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:black">Smat</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif"">
<span style="color:#5C5C5C">=</span> <span
style="color:#4A55DB">[</span><span style="color:#5C5C5C">-</span><span
style="color:rosybrown">0.7</span> <span
style="color:rosybrown">0.061984965</span> <span
style="color:rosybrown">0</span> <span
style="color:rosybrown">0.111572936</span> <span
style="color:rosybrown">0.200831285</span><span
style="color:black">;</span> <o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown"
lang="EN-US">0</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif""
lang="EN-US"> <span style="color:#5C5C5C">-</span><span
style="color:rosybrown">1.4</span> <span
style="color:rosybrown">0.5</span> <span
style="color:rosybrown">0</span> <span
style="color:rosybrown">0</span><span style="color:black">;</span>
<o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown"
lang="EN-US">0</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif""
lang="EN-US"> <span style="color:rosybrown">0</span> <span
style="color:#5C5C5C">-</span><span
style="color:rosybrown">0.9</span> <span
style="color:rosybrown">0</span> <span
style="color:rosybrown">0</span><span style="color:black">;</span>
<o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown"
lang="EN-US">0</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif""
lang="EN-US"> <span style="color:rosybrown">0.5</span> <span
style="color:rosybrown">0</span> <span
style="color:#5C5C5C">-</span><span
style="color:rosybrown">1.4</span> <span
style="color:rosybrown">0</span><span style="color:black">;</span>
<o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown"
lang="EN-US">0</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif""
lang="EN-US"> <span style="color:rosybrown">0</span> <span
style="color:rosybrown">0</span> <span
style="color:rosybrown">0.5</span> <span
style="color:#5C5C5C">-</span><span
style="color:rosybrown">0.5</span><span
style="color:#4A55DB">]</span><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:black"
lang="EN-US">onevec</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif""
lang="EN-US"> <span style="color:#5C5C5C">=</span> <span
style="color:#4A55DB">{</span><span
style="color:rosybrown">1</span> <span
style="color:rosybrown">1</span> <span
style="color:rosybrown">1</span> <span
style="color:rosybrown">1</span> <span
style="color:rosybrown">1</span><span
style="color:#4A55DB">}</span><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:black"
lang="EN-US">S0vec</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif""
lang="EN-US"> <span style="color:#5C5C5C">=</span> <span
style="color:#4A55DB">{</span><span
style="color:rosybrown">0.325610814</span><span
style="color:black">;</span> <span
style="color:rosybrown">0.9</span><span
style="color:black">;</span> <span
style="color:rosybrown">0.9</span><span
style="color:black">;</span> <span
style="color:rosybrown">0.9</span><span
style="color:black">;</span> <span
style="color:rosybrown">0</span><span
style="color:#4A55DB">}</span><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-size:10.5pt;font-family:"Monospaced","serif""
lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><i><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#64AE64"
lang="EN-US">// Dichtefunktion :</span></i><span
style="font-size:10.5pt;font-family:"Monospaced","serif""
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><u><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#AE5CB0"
lang="EN-US">scf</span></u><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB"
lang="EN-US">(</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown"
lang="EN-US">1</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB"
lang="EN-US">)</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:black"
lang="EN-US">;</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif""
lang="EN-US"> <i><span style="color:#64AE64">//create
figure 1</span></i><o:p></o:p></span></p>
<p class="MsoNormal"><u><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#AE5CB0"
lang="EN-US">clf</span></u><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB"
lang="EN-US">(</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown"
lang="EN-US">1</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB"
lang="EN-US">)</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:black"
lang="EN-US">;</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif""
lang="EN-US"> <i><span style="color:#64AE64">//clear figure
1</span></i><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:black"
lang="EN-US">x</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C"
lang="EN-US">=</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB"
lang="EN-US">[</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown"
lang="EN-US">1</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif""
lang="EN-US"> <span style="color:#FFAA00">:</span> <span
style="color:rosybrown">0.2</span> <span
style="color:#FFAA00">:</span> <span
style="color:rosybrown">20</span><span
style="color:#4A55DB">]<o:p></o:p></span></span></p>
<p class="MsoNormal"><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:black"
lang="EN-US">//x</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C"
lang="EN-US">=</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB"
lang="EN-US">2</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif""
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><i><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#64AE64"
lang="EN-US">////x= linspace(0,20,101);</span></i><span
style="font-size:10.5pt;font-family:"Monospaced","serif""
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><i><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#64AE64"
lang="EN-US">//temp1=Smat*x</span></i><span
style="font-size:10.5pt;font-family:"Monospaced","serif""
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><i><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#64AE64"
lang="EN-US">//f_x= sum(sum(Smat*x,"c"),"r")//</span></i><span
style="font-size:10.5pt;font-family:"Monospaced","serif""
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><i><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#64AE64"
lang="EN-US">//test=Smat*(x);</span></i><span
style="font-size:10.5pt;font-family:"Monospaced","serif""
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:black"
lang="EN-US">f_x</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C"
lang="EN-US">=</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:black"
lang="EN-US">initv</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C"
lang="EN-US">*</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#32B9B9"
lang="EN-US">expm</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB"
lang="EN-US">(</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:black"
lang="EN-US">Smat</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C"
lang="EN-US">*</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:black"
lang="EN-US">x</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB"
lang="EN-US">)</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C"
lang="EN-US">*</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:black"
lang="EN-US">S0vec</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif""
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><i><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#64AE64"
lang="EN-US">//f_x=x</span></i><span
style="font-size:10.5pt;font-family:"Monospaced","serif""
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><i><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#64AE64"
lang="EN-US">//</span></i><span
style="font-size:10.5pt;font-family:"Monospaced","serif""
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><u><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#AE5CB0"
lang="EN-US">plot</span></u><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB"
lang="EN-US">(</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:black"
lang="EN-US">x,f_x</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB"
lang="EN-US">)</span><span
style="font-size:10.5pt;font-family:"Monospaced","serif""
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><i><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#64AE64">////xlabel('x'),
ylabel('f(x)')</span></i><span
style="font-size:10.5pt;font-family:"Monospaced","serif""><o:p></o:p></span></p>
<p class="MsoNormal"><i><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#64AE64"
lang="EN-US">//title('Dichtefunktion von TBPS')</span></i><span
style="font-size:10.5pt;font-family:"Monospaced","serif""
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-size:10.5pt;font-family:"Monospaced","serif""
lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><i><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#64AE64"
lang="EN-US">//Generating function of the PH renewal
process</span></i><span
style="font-size:10.5pt;font-family:"Monospaced","serif""
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-size:10.5pt;font-family:"Monospaced","serif""
lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><i><span
style="font-size:10.5pt;font-family:"Monospaced","serif";color:#64AE64">//P_Stern=exp((Smat
+ z*S0vec*initv)*x)</span></i><span
style="font-size:10.5pt;font-family:"Monospaced","serif""><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<div
style="mso-element:para-border-div;border:none;border-bottom:solid
windowtext 1.5pt;padding:0cm 0cm 1.0pt 0cm">
<p class="MsoNormal" style="border:none;padding:0cm"><span
lang="EN-US"><o:p> </o:p></span></p>
</div>
<p class="MsoNormal"><span lang="EN-US"><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"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US">x is the variable. If I
simply plug in a single value, it works (the result is a
value)<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US">However, if I I declare
a range, it does not work anymore (“Inconsitent
multiplication”)<br>
I suppose that Scilab understands the range of x as a vector
such that the matrix operations cannot work that way.<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">Thank you very much for
your help!<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"><o:p> </o:p></span></p>
<table class="MsoNormalTable"
style="width:82.58%;border-collapse:collapse" border="0"
cellpadding="0" cellspacing="0" width="82%">
<tbody>
<tr style="height:12.75pt">
<td style="width:50.12%;padding:0cm 0cm 0cm
0cm;height:12.75pt" width="50%">
<p class="MsoNormal"
style="margin-bottom:10.0pt;line-height:115%"><span
style="color:#1F497D" lang="EN-US">Best regards<br>
Svenja Lagershausen<o:p></o:p></span></p>
</td>
<td style="width:49.88%;padding:0cm 0cm 0cm
0cm;height:12.75pt" width="49%">
<p class="MsoNormal"
style="margin-bottom:10.0pt;line-height:115%"><span
style="font-size:12.0pt;line-height:115%;font-family:"Verdana","sans-serif";color:#1F497D"
lang="EN-US"><o:p> </o:p></span></p>
</td>
</tr>
</tbody>
</table>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
</div>
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