您当前所在位置: 首页 > 学者

廖安平

  • 14浏览

  • 0点赞

  • 0收藏

  • 0分享

  • 29下载

  • 0评论

  • 引用

期刊论文

线性流形上实对称半正定阵的-类逆特征值问题*1)

廖安平郭忠

计算数学,1996,3:279~284,-0001,():

URL:

摘要/描述

Lets={A ∈ SRn×n |‖ AZ-Y‖=min} where Z,Y ∈ Rn×k, SRnxn={A ∈ Rn×n] AT = A}, ‖.‖ is the Frobenius norm. We consider the following problems: Problem I. Given X, B ∈ Rn×m, find A ∈ S ∩ Pn such that AX=B, where Pn={A ∈ SRn×n |Ax ∈ Rn, xTAx ≥0}. oblem II. Given A ∈ Rn×n, find A ∈ SE, such that ‖A-A‖=inf ‖A-A‖, VAESE where SE is the solution set of Problem I. The sufficient and necessary condition under which SE is nonempty is obtained. The general form of SE is given. Then expression of the solution A of problem II is presented and the numerical method is described.

关键词:

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27秒,版权归本人所有。

我要评论

全部评论 0

本学者其他成果

    同领域成果