Trajectories of eigenvalues

Program that plots the changing eigenvalues obtained progressively adding a matrix B to a matrix M.
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Aggiornato 15 feb 2011

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(The comments in the program are in italian, I'm sorry.)

The program 'perteig' takes as input a matrix M, a perturbation matrix B and an integer T.
T define the accuracy of the final plot.
M is the matrix we begin with. The program computes M+tB with t=n/T (n=0,1,2,...,T) and plot at each step the eigenvalues of this matrix on the complex plane.
So, finally we can see how the eingenvalues of M move on the complex plane when we're adding B to M.

In order to do some random explorations, the function 'randevoeig(n,kA,kB,T)' define two random complex integer matrices A and B (with coefficients of size at most kA and kB respectivel), and writes them in files .csv; then, it runs perteig(A,B,T).

Cita come

Emanuele Natale (2025). Trajectories of eigenvalues (https://it.mathworks.com/matlabcentral/fileexchange/30301-trajectories-of-eigenvalues), MATLAB Central File Exchange. Recuperato .

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Creato con R2009a
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Versione Pubblicato Note della release
1.4.0.0

given a better description of randevoeig in the Description field

1.3.0.0

Added a screenshot and some script from 'Matrices program with a script for eigenvalues perturbations' (#30348)

1.2.0.0

added an ID in the acknowledged submissions

1.1.0.0

Corrected some grammatical misprints in the description.

1.0.0.0