Dissertation
Matrix Roots of Nonnegative and Eventually Nonnegative Matrices
Doctor of Philosophy (PhD), Washington State University
01/2013
Handle:
https://hdl.handle.net/2376/4963
Abstract
Eventually nonnegative matrices are real matrices whose powers become and remain nonnegative. As such, eventually nonnegative matrices are, a fortiori, matrix roots of nonnegative matrices, which motivates us to study the matrix roots of nonnegative matrices. Using classical matrix function theory and Perron-Frobenius theory, we characterize, classify, and describe in terms of the complex and real Jordan canonical form the pth-roots of nonnegative and eventually nonnegative matrices.
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Details
- Title
- Matrix Roots of Nonnegative and Eventually Nonnegative Matrices
- Creators
- Pietro Paparella
- Contributors
- Michael J Tsatsomeros (Advisor)Judith J McDonald (Advisor)Bala Krishnamoorthy (Committee Member)
- Awarding Institution
- Washington State University
- Academic Unit
- Mathematics and Statistics, Department of
- Theses and Dissertations
- Doctor of Philosophy (PhD), Washington State University
- Number of pages
- 85
- Identifiers
- 99900581741201842
- Language
- English
- Resource Type
- Dissertation