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Arts & Sciences
[PAST EVENT] Mathematics Colloquium: Pietro Paparella, William and Mary
September 13, 2013
2pm - 3pm
Abstract:
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, in this talk we discuss how to characterize, classify, and describe, in terms of the complex and real Jordan canonical form, the pth-roots of nonnegative and eventually nonnegative matrices.
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, in this talk we discuss how to characterize, classify, and describe, in terms of the complex and real Jordan canonical form, the pth-roots of nonnegative and eventually nonnegative matrices.
Contact
Chi-Kwong Li