Bounding the Norm of Matrix Powers

In this paper I investigate properties of square complex matrices of the form Ak, where A is also a complex matrix, and k is a nonnegative integer. I look at several ways of representing Ak. In particular, I present an identity expressing the kth power of the Schur form T of A in terms of the elemen...

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Bibliographic Details
Main Author: Dowler, Daniel Ammon
Format: Others
Published: BYU ScholarsArchive 2013
Subjects:
Online Access:https://scholarsarchive.byu.edu/etd/3692
https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=4691&context=etd