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双对称非负定阵一类逆特征值问题的最小二乘解*1)

廖安平谢冬秀

计算数学,2001,23(2),-0001,():

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摘要/描述

In this paper, we consider the following two problems: Problem I. Given X E Rmxn, A=diag (λ1,•••,λm)>0, find A E BSRnoxn such that ‖AX-XA‖=min, where ‖•‖ is Frobenius norm, BSRnoxn is the set of all n x n bisymmetric nonneg-ative definite matrices. Problem II. Given A* ∈ Rnxn, find ALS ∈ SE such that ‖A*-ALS‖=inf ‖A*-A‖, AESE where SE is the solution set of problem I. The existence of the solution for problem I, Ⅱ and the uniqueness of the solution for Problem Ⅱ are proved. The general form of SE is given and the expression of ALS is presented.

版权说明:以下全部内容由廖安平上传于   2009年03月30日 16时31分59秒,版权归本人所有。

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