The Norms of Powers of Matrices with Unit Spectral Radius

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Leader_The_Norms_Funded_by_NPS_1994.pdf (154.64 KB)
Authors
Leader, J.J.
Subjects
Matrix norm
Power method
Advisors
Date of Issue
1994
Date
Publisher
Elsevier
Language
Abstract
We show that the norm of the powers of a matrix with unit spectral radius which is not of bounded type grows as 0(np−1), where p is the order of the largest nonlinear divisor of the matrix associated with a unit eigenvalue.
Type
Article
Description
The article of record as published may be found at https://doi.org/10.1016/0893-9659(94)90023-X
URI
https://hdl.handle.net/10945/66232
Series/Report No
Department
Organization
Naval Postgraduate School
Identifiers
NPS Report Number
Sponsors
Funding
Naval Postgraduate School Research Council Foundation
Format
3 p.
Citation
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