On determining bounds for the real parts of the zeros of polynomials

DOI10.1080/03081087.2011.599067zbMath1234.30006OpenAlexW2072184892MaRDI QIDQ2879662

Amal al-Saket

Publication date: 29 March 2012

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2011.599067

zbMATH Keywords

eigenvaluezeros of polynomialscharacteristic polynomialinterlacingprincipal submatrixFrobenius companion matrixeigendecomposition

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Real polynomials: location of zeros (26C10)

Cites Work

• Bounds for the zeros of polynomials from matrix inequalities
• Lower bounds of the minimal eigenvalue of a Hermitian positive-definite matrix
• Computing the Minimum Eigenvalue of a Symmetric Positive Definite Toeplitz Matrix
• Bounds and a majorization for the real parts of the zeros of polynomials
• Matrix Analysis
• Bounds on the extreme eigenvalues of positive-definite Toeplitz matrices

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