Bounds for the zeros of polynomials from eigenvalues and singular values of some companion matrices

DOI10.1016/S0024-3795(97)00254-1zbMath0893.15006MaRDI QIDQ1379083

Hansjörg Linden

Publication date: 23 July 1998

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

zbMATH Keywords

eigenvaluessingular valuesGershgorin's theoremcompanion matricesbound for zeros of polynomials

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) 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)

Related Items (14)

Scaled generalized Bernstein polynomials and containment regions for the zeros of polynomials ⋮ The Coefficients of the FOM and GMRES Residual Polynomials ⋮ Bounds and majorization relations for the critical points of polynomials ⋮ A note on companion matrices ⋮ On the refinement of Cauchy's theorem and Pellet's theorem. ⋮ Notes on some bounds for the zeros of polynomials ⋮ Spectral radius inequalities for sums of operators with an application to the problem of bounding the zeros of polynomials ⋮ Generalizations of Gershgorin disks and polynomial zeros ⋮ Some decomposition results for companion matrices ⋮ Bounds and Majorization Relations for the Zeros of Polynomials ⋮ Companion matrix patterns ⋮ Bounds and a majorization for the real parts of the zeros of polynomials ⋮ Bounds for the zeros of polynomials from matrix inequalities – II ⋮ Containment regions for zeros of polynomials from numerical ranges of companion matrices

Cites Work

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