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.
|Advisor:||Tsatsomeros, Michael J., McDonald, Judith J.|
|School:||Washington State University|
|School Location:||United States -- Washington|
|Source:||DAI-B 75/02(E), Dissertation Abstracts International|
|Keywords:||Complete residue system, Eventual nonnegativity, Jordan canonical form, Matrix roots, Perron-frobenius theorem|
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