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

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

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Walter Roberson 2012-8-13

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()

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