% Exercises for pseudospectra based on the
% matlab gallery of matrices

% Investigate these matrices using EigTool

% Forsythe matrix, see matlab help page for gallery

A=gallery('forsythe',10);

% Experiment with the parameters for this matrix

B=gallery('forsythe',10,0.0001,0);

C=gallery('forsythe',50);

% Matrix with ill-conditioned eigenvalues

X=gallery('frank',10);

% Matrix with eigenvalues on the imaginary axis
% Note that i*Y is selfadjoint. What are the implications
% for the things seen in EigTool?

Y=gallery('hanowa',10);

% Yet another example

Z=gallery('lesp',10);

ZZ=gallery('lesp',30);

% A random matrix example

R=gallery('rando',10,3);

% A matrix with interesting pseudospectrum

S=gallery('smoke',10);
