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

页码：578 / 585

页数：8

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