algebra problem

by vabamyyr
Tags: algebra
vabamyyr is offline
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
Phys.Org News Partner Science news on
Simplicity is key to co-operative robots
Chemical vapor deposition used to grow atomic layer materials on top of each other
Earliest ancestor of land herbivores discovered
matt grime
matt grime is offline
Mar13-06, 02:35 PM
Sci Advisor
HW Helper
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 is offline
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?

Register to reply

Related Discussions
Clifford algebra isomorphic to tensor algebra or exterior algebra? Linear & Abstract Algebra 2
Algebra problem!!! Calculus & Beyond Homework 7
Algebra problem Precalculus Mathematics Homework 5
Help on another algebra problem Calculus & Beyond Homework 2
Algebra problem Linear & Abstract Algebra 3