Low rank perturbations and the spectrum of a tridiagonal sign pattern. (Q1414160)
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scientific article; zbMATH DE number 2006000
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Low rank perturbations and the spectrum of a tridiagonal sign pattern. |
scientific article; zbMATH DE number 2006000 |
Statements
Low rank perturbations and the spectrum of a tridiagonal sign pattern. (English)
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19 November 2003
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Inertia and spectral results for matrices \(A_{n}\) having the \(n\)-by-\(n\) antipodal tridiagonal sign pattern \(T_{n}\) with \(n\geq 2\), are proposed using new techniques on low rank perturbations. In addition, bounds on the algebraic multiplicity of an eigenvalue of a low rank perturbation of a general matrix are obtained.
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algebraic multiplicity
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inertia
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low rank perturbation
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sign pattern
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spectrum
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tridiagonal matrix
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