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Equation Solving

How to solve this system of equations?

Laurent Simula

Posted 10 years ago

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POSTED BY: Laurent Simula

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Gianluca Gorni

Gianluca Gorni, University of Udine

Posted 10 years ago

I have some doubts that there are more than one solution, at least in the unit square. The following plots show ony one likely candidate: Plot3D[{Sqrt@Norm[{exp3 - tP/(1 - tP), exp6 - tC/(1 - tC)}], 0}, {tC, 0, 1}, {tP, 0, 1}, PlotRange -> {-.1, 1}, AxesLabel -> Automatic] Plot3D[{Sqrt@Norm[{exp3 - tP/(1 - tP), exp6 - tC/(1 - tC)}], 0}, {tC, .8, .9}, {tP, 0.5, .9}, PlotRange -> {-.1, 1}]

I have some doubts that there are more than one solution, at least in the unit square. The following plots show ony one likely candidate:

Plot3D[{Sqrt@Norm[{exp3 - tP/(1 - tP), exp6 - tC/(1 - tC)}], 0}, {tC, 
  0, 1}, {tP, 0, 1}, PlotRange -> {-.1, 1}, AxesLabel -> Automatic]
Plot3D[{Sqrt@Norm[{exp3 - tP/(1 - tP), exp6 - tC/(1 - tC)}], 
  0}, {tC, .8, .9}, {tP, 0.5, .9}, PlotRange -> {-.1, 1}]

POSTED BY: Gianluca Gorni

Frank Kampas

Frank Kampas, Physicist at Large Consulting

Posted 10 years ago

FindRoot only gives one solution for a given starting point. If you want more solutions, you should try more starting points.

POSTED BY: Frank Kampas

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