How to find largest and smallest eigenvalues of a matrix?
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I can easily find the largest eigenvalue and I also know how to find the smallest eigenvalue of a matrix, but in his book on "Elements of Numerical Analysis" Dr. Faiz AHMED has raised the question whether the smallest eigenvalue can be found without finding the largest one.
If you have a good method that can easily find the largest eigenvalue of A, then you can use the same method to find smallest eigenvalue of A by finding the largest eigenvalue of -A and multiplying by -1.
If you have a good method that can easily find the largest eigenvalue of A, then you can use the same method to find smallest eigenvalue of A by finding the largest eigenvalue of -A and multiplying by -1.
Answered by
1
I can easily find the largest eigenvalue and I also know how to find the smallest eigenvalue of a matrix, but in his book on "Elements of Numerical Analysis" Dr. Faiz AHMED has raised the question whether the smallest eigenvalue can be found without finding the largest one.If you have a good method that can easily find the largest eigenvalue of A, then you can use the same method to find smallest eigenvalue of A by finding the largest eigenvalue of -A and multiplying
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