Inverse Eigenvalue Problem of Unitary Hessenberg Matrices

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	Inverse Eigenvalue Problem of Unitary Hessenberg Matrices
	Chunhong Wu ; Linzhang Lu ; Lu LZ(卢琳璋)
刊名	http://dx.doi.org/10.1155/2009/615069
	2009
关键词	TOEPLITZ MATRICES ALGEBRAIC ENVIRONMENT TRIDIAGONAL APPROACH POLE ASSIGNMENT VIBRATING BEAM POLYNOMIALS
英文摘要	National Natural Science Foundation of China [10531080]; Let H is an element of C(nxn) be an n x n unitary upper Hessenberg matrix whose subdiagonal elements are all positive, let H(k) be the kth leading principal submatrix of H, and let (H) over tilde (k) be a modified submatrix of H(k). It is shown that when the minimal and maximal eigenvalues of (H) over tilde (k) (k = 1, 2,..., n) are known, H can be constructed uniquely and efficiently. Theoretic analysis, numerical algorithm, and a small example are given. Copyright (C) 2009 C. Wu and L. Lu.
语种	英语
出版者	Hindawi Publishing Corporation
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/66127]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Chunhong Wu,Linzhang Lu,Lu LZ. Inverse Eigenvalue Problem of Unitary Hessenberg Matrices[J]. http://dx.doi.org/10.1155/2009/615069,2009.
APA	Chunhong Wu,Linzhang Lu,&卢琳璋.(2009).Inverse Eigenvalue Problem of Unitary Hessenberg Matrices.http://dx.doi.org/10.1155/2009/615069.
MLA	Chunhong Wu,et al."Inverse Eigenvalue Problem of Unitary Hessenberg Matrices".http://dx.doi.org/10.1155/2009/615069 (2009).