Inverse Eigenvalue Problem of Unitary Hessenberg Matrices
| Autor: | Chunhong Wu, Linzhang Lu |
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| Jazyk: | angličtina |
| Rok vydání: | 2009 |
| Předmět: | |
| Zdroj: | Discrete Dynamics in Nature and Society, Vol 2009 (2009) |
| Druh dokumentu: | article |
| ISSN: | 1026-0226 1607-887X |
| DOI: | 10.1155/2009/615069 |
| Popis: | Let H∈ℂn×n be an n×n unitary upper Hessenberg matrix whose subdiagonal elements are all positive, let Hk be the kth leading principal submatrix of H, and let H˜k be a modified submatrix of Hk. It is shown that when the minimal and maximal eigenvalues of H˜k (k=1,2,…,n) are known, H can be constructed uniquely and efficiently. Theoretic analysis, numerical algorithm, and a small example are given. |
| Databáze: | Directory of Open Access Journals |
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