NEW BOUNDS FOR THE ZEROS OF POLYNOMIALS BY USING SPECTRAL RADIUS INEQUALITIES AND SIMILAR MATRICES

DOI10.17654/NT041020253zbMath1426.15027MaRDI QIDQ5204727

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Publication date: 5 December 2019

Published in: JP Journal of Algebra, Number Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

zeros of polynomialsspectral radiusboundscompanion matrixspectral norm

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Miscellaneous inequalities involving matrices (15A45) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Real polynomials: location of zeros (26C10)

Cites Work

• Bounds for the zeros of polynomials from matrix inequalities
• Norm inequalities of positive operator matrices
• ZEROS OF POLYNOMIALS BY USING SOME INEQUALITIES
• Bounds for the zeros of polynomials from matrix inequalities – II
• Matrix Analysis
• A numerical radius inequality and an estimate for the numerical radius of the Frobenius companion matrix
• GENERALIZED AND NEW BOUNDS FOR THE ZEROS OF POLYNOMIALS

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