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.
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页码：578 / 585
页数：8
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