Lower bounds for the spread of a Hermitian matrix
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The authors present new lower bounds for the spread of a Hermitian matrix in terms of its entries. The results include a bound which is sharper than a recent result due to \textit{E. R. Barnes} and \textit{A. J. Hoffman} [Linear Algebra Appl. 201, 79-90 (1994; Zbl 0803.15016)] in spite of the fact that the latter bound is attained. Numerical examples are used to compare the results with other known results.
- Fudan University China (People's Republic of)
numerical examples, lower bounds, Numerical Analysis, Algebra and Number Theory, spread, Discrete Mathematics and Combinatorics, Hermitian, skew-Hermitian, and related matrices, Geometry and Topology, Hermitian matrix, Inequalities involving eigenvalues and eigenvectors
numerical examples, lower bounds, Numerical Analysis, Algebra and Number Theory, spread, Discrete Mathematics and Combinatorics, Hermitian, skew-Hermitian, and related matrices, Geometry and Topology, Hermitian matrix, Inequalities involving eigenvalues and eigenvectors
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