The generalized Levinger transformation
| Autor: | Adam, M., Maroulas, J. |
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| Rok vydání: | 2007 |
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| Druh dokumentu: | Working Paper |
| Popis: | In this paper, we present new results relating the numerical range of a matrix $A$ with generalized Levinger transformation $\mathcal{L}(A,\alpha,\beta) = \alphaH_A +\betaS_A$, where $H_A$ and $S_A$, are respectively the Hermitian and skew-hermitian parts of $A$. Using these results, we derive expressions for eigenvalues and eigenvectors of the perturbed matrix $A + \mathcal{L}(E,\alpha,\beta)$, for a fixed matrix $E$ and $\alpha, \beta$ are real parameters. Comment: 8th Workshop on "Numerical Ranges and Numerical Radii" (WONRA), University of Bremen, 2006 |
| Databáze: | arXiv |
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