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Perron–Frobenius theorem for matrices with some negative entries by Pablo Tarazaga; Marcos Raydan; Ana Hurman is a Mathematics article available to read on EtoBox.

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We extend the classical Perron-Frobenius theorem to matrices with some negative entries. We study the cone of matrices that has the matrix of 1's (ee t ) as the central ray, and such that any matrix inside the cone possesses a Perron-Frobenius eigenpair. We also find the maximum angle of any matrix with ee t that guarantees this property.

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Author

Pablo Tarazaga; Marcos Raydan; Ana Hurman

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0024-3795)

Published

2001

Language

EN

Field

Mathematics (Physical Sciences)