A Solution of Inverse Eigenvalue Problems for Unitary Hessenberg Matrices  

作　　者：Feng Li Lu Lin 

机构地区：[1]School of Sciences, Jimei University, Xiamen, Fujian 361021, China School of Mathematical Sciences, Xiamen University, Xiamen, Fujian 361005, China

出　　处：《Numerical Mathematics A Journal of Chinese Universities(English Series)》2007年第2期131-139,共9页

基　　金：This work is supported by the Natural Science Foundation of Fujian Province of China （No. Z0511010）;the Natural Science Foundation of China （No. 10571012）.

摘　　要：Let H∈Cn×n be an n×n unitary upper Hessenberg matrix whose subdiagonal elements are all positive. Partition H as H=[H11 H12 H21 H22],(0.1) where H11 is its k×k leading principal submatrix; H22 is the complementary matrix of H11. In this paper, H is constructed uniquely when its eigenvalues and the eigenvalues of (H|^)11 and (H|^)22 are known. Here (H|^)11 and (H|^)22 are rank-one modifications of H11 and H22 respectively.Let H ∈ C^n×n be an n × n unitary upper Hessenberg matrix whose subdiagonal elements are all positive. Partition H as H=[H11 H12 H21 H22] （0.1） where H11 is its k × k leading principal submatrix; H22 is the complementary matrix of H11. In this paper, H is constructed uniquely.when its eigenvalues and the eigenvalues Of H11 and H22 are known. Here H^11 and H^22 are rank-one modifications of H11 and H22 respectively.

关 键 词：Hessenberg酉阵 Schur参数 逆特征值问题 解 子对角元素 

分 类 号：O151.21[理学—数学]