Containment regions for zeros of polynomials from numerical ranges of companion matrices

DOI10.1016/S0024-3795(02)00273-2zbMath1002.15026MaRDI QIDQ1611879

Hansjörg Linden

Publication date: 28 August 2002

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

zbMATH Keywords

numerical rangecompanion matrixzeros of polynomialbordered diagonal matrixcontainment regions

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Numerical computation of solutions to single equations (65H05) Real polynomials: location of zeros (26C10)

Related Items (4)

Scaled generalized Bernstein polynomials and containment regions for the zeros of polynomials ⋮ Zero-dilation index of a finite matrix ⋮ Generalizations of Gershgorin disks and polynomial zeros ⋮ On the numerical range of some block matrices with scalar diagonal blocks

Cites Work

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• Buzano's Inequality and Bounds for Roots of Algebraic Equations
• Operator norms as bounds for roots of algebraic equations
• On Composite Abstract Homogeneous Polynomials

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