Solution Found!
[M] Exercises 7–12 require MATLAB or other
Chapter 5, Problem 11E(choose chapter or problem)
Problem 11E
[M] Exercises 7–12 require MATLAB or other computational aid. In Exercises 7 and 8, use the power method with the x0 given. List
In Exercises 9 and 10,
Another estimate can be made for an eigenvalue when an approximate eigenvector is available. Observe that if and the Rayleigh quotient
Questions & Answers
QUESTION:
Problem 11E
[M] Exercises 7–12 require MATLAB or other computational aid. In Exercises 7 and 8, use the power method with the x0 given. List
In Exercises 9 and 10,
Another estimate can be made for an eigenvalue when an approximate eigenvector is available. Observe that if and the Rayleigh quotient
ANSWER:
Solution 11E
Step 1
The objective is to find the list of using power method for the following matrix:
Use MATLAB to find the list.
Code for MATLAB:
function[x,lambda]=powermat(A,x0,nit) x = x0; for n=1:nit xnew = A*x; lambda = norm(xnew,inf)/norm(x,inf); fprintf('n = %4d lambda = %g x = %g %g %g \n', n, lambda, x');
x=xnew; end x=x/norm(x);%normalise x fprintf('n = %4d normalised x = %g %g %g\n', n, x');