Algebra problem

1. Mar 13, 2006

vabamyyr

Let Q^H * A * Q = T = D + N be Schur decomposition of A. D is a diagonal matrix with eigenvalues of A and N is strictly upper triangular matrix. This sentence is used in a proof which im not going to state but at some point it states that ||A^k|| 2 norm = ||T^k|| 2 norm for k>=0. I dont understand
where this equality comes from. I tried to work this equality out with an example of taking

Last edited: Mar 14, 2006
2. Mar 13, 2006

matt grime

You can help yourself, and us, by using the latex formatting in this forum to make it clear what it is you're asking. Note the text in the reply box is not formatted literally.

3. Mar 14, 2006

vabamyyr

The problem is simple: why is the 2-norm of A^k equal to 2-norm of T^k?