Question: Please fix my code to output the following table: clc; clear all; close all; % Input ( square matrix ) P = [ - 4
Please fix my code to output the following table:
clc; clear all; close all;
Input square matrix
P ; ; ;
Initial condition
v; ; ;
Get the size of the matrix
n lengthP;
Tolerance for convergence
tol ;
Maximum number of iterations
maxiter ;
Initialize for Aitken's Method
mu;
mu;
Step : Initial iteration
v P v; v is the eigenvector
eVal normv Inf; the eigenvalue
Finding the dominant element and its index
~ p maxabsv;
if eVal
fprintfP has the eigenvalue select a new vector x and restart';
return;
end
Store values for Aitken's method
mu zerosmaxiter;
mu mu;
mu mu;
muhat zerosmaxiter;
Step : Loop over iterations
for k :maxiter
v P v; New vector P v
eVal normv Inf; Normalize to get the eigenvalue
v v eVal; Normalize the eigenvector
Aitken's extrapolation
mu eVal;
muhatk mukmuk mukmu muk muk;
Check for convergence
if normmuhatk mu Inf tol
fprintfConverged with Aitken's method after d iterations. k;
fprintfAitkens accelerated eigenvalue muhat f muhatk;
break;
end
Update variables for the next iteration
muk muk;
muk mu;
end
if k maxiter
dispThe maximum number of iterations exceeded';
end
Print a table of ten approximated values of lambda as iteration increases
dispIterations Lambda';
for i :k
fprintfd f f f ivi muimuhati;
end
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