Inverse Eigenvalue Problem of Unitary Hessenberg Matrices

Chunhong Wu and Linzhang Lu

Discrete Dynamics in Nature and Society, 2009, vol. 2009, 1-11

Abstract:

Let be an unitary upper Hessenberg matrix whose subdiagonal elements are all positive, let be the leading principal submatrix of , and let be a modified submatrix of . It is shown that when the minimal and maximal eigenvalues of ( ) are known, can be constructed uniquely and efficiently. Theoretic analysis, numerical algorithm, and a small example are given.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:615069

DOI: 10.1155/2009/615069

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