Tropical Laurent series, their tropical roots, and localization results for the eigenvalues of nonlinear matrix functions

Tropical roots of tropical polynomials have been previously studied and used to localize roots of classical polynomials and eigenvalues of matrix polynomials. We extend the theory of tropical roots from tropical polynomials to tropical Laurent series. Our proposed definition ensures that, as in the...

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Veröffentlicht in:Mathematics of computation 2024-09
Hauptverfasser: Negri Porzio, Gian, Noferini, Vanni, Robol, Leonardo
Format: Artikel
Sprache:eng
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