Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
ZigangPan`RobustBackSteppingCancellation`
linearFactorConvex  |
| {f0,ftilde}=linearFactorConvex[f,xc,yc] f0 ftilde ftilde[xc,yc] f =f0+ftilde.yc f yc f xc yc | |
Examples
(1)
Basic Examples
(1)
In[1]:=
f={x1+x2+y1+x1^2,x1-x2+y2+y1^2+x1y1+x1*x2*y1^2};xc={x1,x2};yc={y1,y2};
[f,xc,yc]
 | linearFactorConvex |
Out[1]=
{x1++x2,x1-x2},{1,0},x1+(2y1+2x1x2y1),1
2
x1
1
2
In[2]:=
f={x1+x2+y1+x1^2,x1-x2+y2+y1^2+x1y1+x1*x2*y1^2};xc={x1,x2};yc={y1,y2};linearFactorSequential[f,xc,yc]
Out[2]=
{{x1++x2,x1-x2},{{1,0},{x1+y1+x1x2y1,1}}}
2
x1
In[3]:=
f={x1+x2+x1*y2+y1^2*x2,x1-x2+y1y2+x1*x2*(y2+y2^2)};xc={x1,x2};yc={y1,y2};
[f,xc,yc]
| linearFactorConvex |
Out[3]=
{x1+x2,x1-x2},{x2y1,x1},,x1x2++x1x2y2
y2
2
y1
2
In[4]:=
f={x1+x2+x1*y2+y1^2*x2,x1-x2+y1y2+x1*x2*(y2+y2^2)};xc={x1,x2};yc={y1,y2};linearFactorSequential[f,xc,yc]
Out[4]=
{{x1+x2,x1-x2},{{x2y1,x1},{0,y1+x1x2(1+y2)}}}
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