Zero-Free Regions of Polynomials

DOI10.2307/2307322zbMath0056.25402OpenAlexW4237535791MaRDI QIDQ5829051

V. F. Cowling, W. J. Thron

Publication date: 1954

Full work available at URL: https://doi.org/10.2307/2307322

zbMATH Keywords

Linear algebra, polynomials, forms

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An Exclusion Sector for Zeros of Polynomials with Nonnegative Coefficients ⋮ Generalized Hurwitz matrices, generalized Euclidean algorithm, and forbidden sectors of the complex plane ⋮ Polynomials Whose Zeros Are Powers of a Given Polynomial’s Zeros ⋮ Zero-free angular sectors and lens-shaped regions for polynomials, with applications to irreducibility ⋮ Total nonnegativity of finite Hurwitz matrices and root location of polynomials ⋮ The zeros of complex polynomials, matrix inequalities and non-linear programming† ⋮ A note on Hermitian positive semidefinite matrix polynomials ⋮ Matrix Pencils with Coefficients that have Positive Semidefinite Hermitian Parts ⋮ Aspects modernes de la localisation des zéros des polynomes d'une variable ⋮ Apollonius circles and irreducibility criteria for polynomials ⋮ Zero Exclusion Sectors for Some Polynomials with Structured Coefficients

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