QR method iteration of matrix

I have this problem to solve:

Execute 8 iterations of the QR method applied to the Hilbert matrix of order 12. Setting A_0=A, the element A_{8}(3,3) is approximately ...

However I don't understand what the QR-method is referred to. Is it the normal QR-decomposition qr(A)? If so, I don't really understand how I can use that to iterate the matrix A.

Answer 1

[Jan]

 Is it the normal QR-decomposition qr(A)

Yes.

A more precise answer is possible, if you mention, which problem you want to solve mathematically. "Iterating a matrix" is not a meaningful task. Perhaps you want to determine the eigenvalues? Did you ask an internet search engine for the terms already? Because this sounds like a homework question, asking your teacher or reading the text book might reveal the solution also.