Dissertation
The inverse eigenvalue problem for 6x6 nonnegative symmetric matrices
Washington State University
Doctor of Philosophy (PhD), Washington State University
01/2021
DOI:
https://doi.org/10.7273/000002483
Handle:
https://hdl.handle.net/2376/120318
Abstract
The symmetric nonnegative inverse eigenvalue problem is to determine when a set of n real numbers is the spectrum of an n x n symmetric nonnegative matrix. In particular, necessary and sufficient conditions are sought. For n less than or equal to 4, the inverse eigenvalue problem for nonnegative symmetric matrices is completely solved. However, the problem still open for n = 5 and above. Our purpose is to discuss this problem for nonnegative symmetric matrices of order n = 6.
Metrics
26 File views/ downloads
69 Record Views
Details
- Title
- The inverse eigenvalue problem for 6x6 nonnegative symmetric matrices
- Creators
- Faizah Dhami Alanazi
- Contributors
- Judith J McDonald (Advisor)Matthew G Hudelson (Committee Member)Michael M Tsatsomeros (Committee Member)
- Awarding Institution
- Washington State University
- Academic Unit
- Mathematics and Statistics, Department of
- Theses and Dissertations
- Doctor of Philosophy (PhD), Washington State University
- Publisher
- Washington State University
- Number of pages
- 71
- Identifiers
- 99900606957101842
- Language
- English
- Resource Type
- Dissertation