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Dissertation/Thesis Abstract

Matrix roots of nonnegative and eventually nonnegative matrices
by Paparella, Pietro, Ph.D., Washington State University, 2013, 85; 3598105
Abstract (Summary)

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.

Indexing (document details)
Advisor: Tsatsomeros, Michael J., McDonald, Judith J.
Commitee: Krishnamoorthy, Bala
School: Washington State University
Department: Mathematics
School Location: United States -- Washington
Source: DAI-B 75/02(E), Dissertation Abstracts International
Subjects: Mathematics
Keywords: Complete residue system, Eventual nonnegativity, Jordan canonical form, Matrix roots, Perron-frobenius theorem
Publication Number: 3598105
ISBN: 978-1-303-46579-6
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