Positive linear maps and perturbation bounds of matrices
Copyright policy )Positive linear maps and perturbation bounds of matrices
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.
Mathematics - Functional Analysis, Miscellaneous inequalities involving matrices, Numerical range, numerical radius, eigenvalues, FOS: Mathematics, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Hermitian, skew-Hermitian, and related matrices, numerical range, trace, positive linear map, Functional Analysis (math.FA)
Mathematics - Functional Analysis, Miscellaneous inequalities involving matrices, Numerical range, numerical radius, eigenvalues, FOS: Mathematics, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Hermitian, skew-Hermitian, and related matrices, numerical range, trace, positive linear map, Functional Analysis (math.FA)
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