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Various 3 x 3 nonnegative matrices with prescribed eigenvalues and diagonal entries
- Authors
- Hwang, Jin Ok; Kim, Donggyun
- Issue Date
- 1-10월-2018
- Publisher
- ELSEVIER SCIENCE INC
- Keywords
- Nonnegative inverse eigenvalue problems; Nonnegative matrices; Symmetric matrices; Stochastic matrices; Symmetric stochastic matrices; Doubly stochastic matrices
- Citation
- LINEAR ALGEBRA AND ITS APPLICATIONS, v.554, pp.15 - 48
- Indexed
- SCIE
SCOPUS
- Journal Title
- LINEAR ALGEBRA AND ITS APPLICATIONS
- Volume
- 554
- Start Page
- 15
- End Page
- 48
- ISSN
- 0024-3795
- Abstract
- In this paper, we answer the various forms of nonnegative inverse eigenvalue problems with prescribed diagonal entries for order three: real or complex general matrices, symmetric stochastic matrices, and real or complex doubly stochastic matrices. We include the known cases, the symmetric matrices and real or complex stochastic matrices, to compare the other results and for completeness. In addition, for a given list of eigenvalues, we compute the exact range for the largest value of the diagonal entries of the various nonnegative matrices. (C) 2018 Elsevier Inc. All rights reserved.
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