An inverse eigenvalue problem and an associated approximation problem for generalized K-centrohermitian matrices

被引：9
|
作者：
Liu, Zhongyun [1 ]
Fassbender, Heike
机构：
[1] Changsha Univ Sci & Technol, Sch Math & Comp Sci, Changsha 410076, Peoples R China
[2] Tech Univ Carolo Wilhelmina Braunschweig, Inst Computat Math, D-38023 Braunschweig, Germany
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2007年 / 206卷 / 01期
关键词：
generalized K-centrohermitian matrix; inverse eigenvalue problem; approximation problem;
D O I：
10.1016/j.cam.2006.08.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A partially described inverse eigenvalue problem and an associated optimal approximation problem for generalized K-centrohermitian matrices are considered. It is shown under which conditions the inverse eigenproblem has a solution. An expression of its general solution is given. In case a solution of the inverse eigenproblem exists, the optimal approximation problem can be solved. The formula of its unique solution is given. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码：578 / 585
页数：8
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