Solving Transcendental equation
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Hi all,
I try to solve these system equations in matlab. I try to use fzero and fsolve but it did not work (R2010a). The system equation is
Re(λ)= μ=-αe^(-μ) cos(ω)
Im(λ)=ω=-αe^(-μ) sin(ω)
I appreciate for your help.
TN
5 Comments
Walter Roberson
on 31 Oct 2011
lambda and alpha are fixed values for any one problem? And you are looking for mu and w values that satisfy
lambda = alpha * exp(-mu + I*w)
Then
lambda/alpha = exp(-mu + I*w)
ln(lambda/alpha) = -mu + I*w
If mu and w are constrained to be real-valued then this would appear to have a single solution (unless alpha is 0).
Answers (2)
Walter Roberson
on 4 Oct 2011
You will need to indicate which variable(s) you are trying to solve for.
lambda = alpha * exp(-mu + I*w)
If you are trying to solve for alpha = 0, then that happens if either lambda = 0 or mu or w are infinite.
If you are trying to solve for lambda = 0, then that happens if either alpha = 0 or else mu and w are both zero.
You can also solve for mu or w being 0 without difficulty.
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