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Spectral radius inequalities for sums of operators with an application to the problem of bounding the zeros of polynomials

Article ID Journal Published Year Pages File Type
8897825 Linear Algebra and its Applications 2018 10 Pages PDF
Abstract
We prove spectral radius inequalities for sums of operators. Our results are employed to establish a new bound for the zeros of polynomials.
Keywords
15A6047A3047A6330C1547A1226C10primaryPolar decompositionsecondarySpectral radiusNumerical radiusZeros of polynomialsInequalityOperator norm
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
Spectral radius inequalities for sums of operators with an application to the problem of bounding the zeros of polynomials
Authors
Amer Abu-Omar,
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Journal
Linear Algebra and its Applications
Journal: Linear Algebra and its Applications
Related Categories
15A60
47A30
47A63
30C15
47A12
26C10
primary
Polar decomposition
secondary
Spectral radius
Numerical radius
Zeros of polynomials
Inequality
Operator norm
Algebra and Number Theory
Analysis
Applied Mathematics
Computational Mathematics
Control and Optimization
Discrete Mathematics and Combinatorics
Geometry and Topology
Logic
Mathematical Physics
Mathematics (General)
Modelling and Simulation
Numerical Analysis
Statistics and Probability
Theoretical Computer Science
Related Journals
Journal of Symbolic Computation
Expositiones Mathematicae
Finite Fields and Their Applications
Journal of Algebra
Journal of Functional Analysis
Journal of Number Theory
Journal of Pure and Applied Algebra
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