How to use QR decomposition to find eigenvalues?

samedi 30 novembre 2013

1. The problem statement, all variables and given/known data

I need to understand how I would go about using QR decomposition of a matrix to find the matrix's eigenvalues. I know how to find the factorization, just stuck on how I would use that factorization to find the eigenvalues.





2. Relevant equations



A=QR where Q is an orthogonal matrix such that Qtranspose = Qinverse



3. The attempt at a solution



det(λ*I - QR) = 0? this doesn't really help.






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