#Plot eigenvalues matlab how to
#Plot eigenvalues matlab software
#Plot eigenvalues matlab code

Well, the difference I am talking/writing about is nothing very deep and complicated, it is just that while in Julia you are computing eigenvalues for a sequence/array of matrices, and you obtain a sequence of vectors of eigenvalues, in Matlab you are computing eigenvalues for a function of a single parameter, at which, lucky you, Symbolic toolbox succeeded, and you get a vector of five functions. I may have a look at it, but I am not quite fluent with symbolics in Julia unfortunately.

#Plot eigenvalues matlab how to

Therefore, rather than investigating the issue of possibly different ordering of eigenvalues in Julia compared to Matlab, you may have to think about how to compute eigenvalues of a matrix parameterized by a single (symbolic) parameter eps in Julia, which is what you did in Matlab.

#Plot eigenvalues matlab code

Strict Matlab equivalent of your Julia code is mu = 57.88e-3 Į(:,i)=eig(A) %energy levels (eigenvalues) With complex inputs, plot (z) is equivalent to plot (real (z),imag (z)), where real (z) is the real part of z and imag (z) is the imaginary part of z.

#Plot eigenvalues matlab software

It is rather that in Matlab you solve the problem much differently than in Julia. Trial Software Product Updates Plot Imaginary and Complex Data Copy Command Plot One Complex Input This example shows how to plot the imaginary part versus the real part of a complex vector, z. 1.) Have MATLAB make you the coordinates of a sphere, using the sphere command 2.) Stretch the coordinates of the sphere by your radii. Strictly speaking, this is not much about ordering of eigenvalues in Matlab vs ordering of eigenvalues in Julia. When analyzing the phase plot for this system, we need to pay attention to two things involving the eigenvalues and eigenvectors of the matrix A. I will be tweaking the parameters so ideally don’t want to have to go back in and adjust it every time the points of intersection change.

So essentially I want to replicate the ordering Matlab’s eig function uses without switching the eigenvalues after the fact. Ε = collect(range(-0.26, length=100, stop=0.26))įigure, ((ax1)) = subplots(1,1, sharex=true) e eig (A) help eig for more information on eigen function and how to use it.

The points of intersection are important and unfortunately, I lose them in the Julia code because of the ascending order. From there the plot should be pretty straightforward.Fplot(,) If you are trying to plot eigenvalues for varying values of k, my suggestion is to make a loop: Calculate the eigenvalues of HH for each value of k, and store these values into arrays. Different syntaxes of eig () method are: e eig (A) V,D eig (A) V,D,W eig (A) e eig (A,B) Let us discuss the above syntaxes in detail: e eig (A) It returns the vector of eigenvalues of square matrix A. You are plotting the two components of one eigenvector as the x component of two vectors, and the other eigenvector as the y components.

Since you don't specify exact values for k, the output is too long to post here, but here is an example using only first matrix H: syms t H t1 t2 E1 E2 E3 E4 E5 E6 HH H1 v d H2 k a E Matlab allows the users to find eigenvalues and eigenvectors of matrix using eig () method. V, D eig( A ) returns diagonal matrix D of eigenvalues and matrix. An eigenvalue and eigenvector of a square matrix A are, respectively, a scalar and a nonzero vector that satisfy.

The diagonal values found in D will be your eigenvalues. e eig( A ) returns a column vector containing the eigenvalues of square matrix A. I ran your code, and was able to do =eig(HH)