Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4599550 | Linear Algebra and its Applications | 2014 | 16 Pages |
Abstract
Eventually positive matrices are real matrices whose powers become and remain strictly positive. As such, eventually positive matrices are a fortiori matrix roots of positive matrices, which motivates us to study the matrix roots of primitive matrices. Using classical matrix function theory and Perron–Frobenius theory, we characterize, classify, and describe in terms of the real Jordan canonical form the pth-roots of eventually positive matrices.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Judith J. McDonald, Pietro Paparella, Michael J. Tsatsomeros,