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Positive linear maps and perturbation bounds of matrices

Article ID Journal Published Year Pages File Type
5773346 Linear Algebra and its Applications 2017 14 Pages PDF
Abstract
We show how positive unital linear maps can be used to obtain lower bounds for the maximum distance between the eigenvalues of two normal matrices. Some related bounds for the spread and condition number of Hermitian matrices are also discussed here.
Keywords
15A6015A4547A12Positive linear mapsNumerical rangeEigenvaluestrace
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
Positive linear maps and perturbation bounds of matrices
Authors
R. Sharma, R. Kumari,
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Journal
Linear Algebra and its Applications
Journal: Linear Algebra and its Applications
Related Categories
15A60
15A45
47A12
Positive linear maps
Numerical range
Eigenvalues
trace
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
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