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ON SPECTRAL VARIATIONS UNDER BOUNDED REAL MATRIX PERTURBATIONS
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UNSPECIFIED (1992) ON SPECTRAL VARIATIONS UNDER BOUNDED REAL MATRIX PERTURBATIONS. NUMERISCHE MATHEMATIK, 60 (4). pp. 509-524. ISSN 0029-599X.
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Abstract
In this paper we investigate the set of eigenvalues of a perturbed matrix A + DELTA is-an-element-of R(n x n) where A is given and DELTA is-an-element-of R(n x n), parallel-to DELTA parallel-to < rho is arbitrary. We determine a lower bound for this spectral value set which is exact for normal matrices A with well separated eigenvalues. We also investigate the behaviour of the spectral value set under similarity transformations. The results are then applied to stability radii which measure the distance of a matrix A from the set of matrices having at least one eigenvalue in a given closed instability domain C(b) subset-of C.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | NUMERISCHE MATHEMATIK | ||||
Publisher: | SPRINGER VERLAG | ||||
ISSN: | 0029-599X | ||||
Official Date: | January 1992 | ||||
Dates: |
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Volume: | 60 | ||||
Number: | 4 | ||||
Number of Pages: | 16 | ||||
Page Range: | pp. 509-524 | ||||
Publication Status: | Published |
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