How to calculate eigen values and eigen vectors of a square matrix without using eig() function?

I want to calculate eigen value and corresponding vector without using inbuilt function eig(). Please tell me algoritm for this.

[Walter Roberson]

What is the reason for avoiding eig() ? So that people do not answer with something that has the same difficulty you are facing with eig() ?

At present your question sounds as if you are required to implement eigenvalue and eigenvector finding for a homework assignment; if that is the case, then the answer would be quite different than if you were (for example) having problems with running out of memory with eig()

Answer 1

[Richard Brown]

"Please tell me algoritm for this."

• Power Method
• Inverse/Shifted Inverse Power Method
• QR Algorithm
• Jacobi Algorithm

etc.

Answer 2

[Sean de Wolski]

Okay.

doc eigs