algebra problem


by vabamyyr
Tags: algebra
vabamyyr
vabamyyr is offline
#1
Mar13-06, 02:32 PM
P: 66
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
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matt grime
matt grime is offline
#2
Mar13-06, 02:35 PM
Sci Advisor
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P: 9,398
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.
vabamyyr
vabamyyr is offline
#3
Mar14-06, 01:20 AM
P: 66
The problem is simple: why is the 2-norm of A^k equal to 2-norm of T^k?


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