GENERALIZED AND NEW BOUNDS FOR THE ZEROS OF POLYNOMIALS

DOI10.17654/NT040030367zbMath1417.15027OpenAlexW2810251488MaRDI QIDQ5229575

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Publication date: 16 August 2019

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

Full work available at URL: https://doi.org/10.17654/nt040030367

zbMATH Keywords

zeros of polynomialsspectral radiusspectral normsimilar matrixcube companion matrix

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical computation of matrix norms, conditioning, scaling (65F35) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10)

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

Cites Work

• 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
• Operator norms as bounds for roots of algebraic equations
• A numerical radius inequality and an estimate for the numerical radius of the Frobenius companion matrix