On the distance from a weakly normal matrix polynomial to matrix polynomials with a prescribed multiple eigenvalue
| Autor: | Ghasem Barid Loghmani, Panayiotis Psarrakos, E. Kokabifar |
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| Rok vydání: | 2016 |
| Předmět: |
Polynomial
Algebra and Number Theory 010102 general mathematics Matrix norm 010103 numerical & computational mathematics 01 natural sciences Upper and lower bounds Normal matrix Matrix polynomial Combinatorics Matrix (mathematics) Singular value 0101 mathematics Eigenvalues and eigenvectors Mathematics |
| Zdroj: | The Electronic Journal of Linear Algebra. 31:71-86 |
| ISSN: | 1081-3810 |
| Popis: | Consider an$n\times n matrix polynomial P(\lambda). An upper bound for a spectral norm distance from P(\lambda) to the set of n \times n matrix polynomials that have a given scalar μ in C as a multiple eigenvalue was obtained by Papathanasiou and Psarrakos (2008). This paper concerns a refinement of this result for the case of weakly normal matrix polynomials. A modified method is developed and its efficiency is verified by two illustrative examples. The proposed methodology can also be applied to general matrix polynomials. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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