华东师范大学学报(自然科学版) ›› 2009, Vol. 2009 ›› Issue (4): 21-25.

• 应用数学与基础数学 • 上一篇    下一篇

保范扩张定理的再研究（英）

方茂中   

  1. 1. 立信会计学院~~数学与信息学院,\; 上海 201620; 2. 华东师范大学~~数学系, 上海 200062
  • 收稿日期:2008-07-30 修回日期:2008-12-06 出版日期:2009-07-25 发布日期:2009-07-25
  • 通讯作者: 方茂中

Revised norm-preserving extension theorem

FANG Mao-zhong{1,2}   

  1. 1. {\it School of Mathematics and Information, Shanghai Lixin University of Commerce,}} \DWEI{{\it Shanghai}\quad 201620, {\it China};\quad 2. {\it Department of Mathematics, East China Normal }} \DWEI{ {\it University, Shanghai}\quad 200062
  • Received:2008-07-30 Revised:2008-12-06 Online:2009-07-25 Published:2009-07-25
  • Contact: FANG Mao-zhong

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摘要： 用广义逆的形式给出了Davis, Kahan 和 Weinberger 的矩阵保范扩张定理
中待定矩阵的表达式. 这是第一次用显示形式给出待定矩阵的表达式.
作为特殊情况就很容易得到征道生1996年的结果

关键词: Kahan 矩阵扩张定理, 谱范数, 广义逆 , Kahan 矩阵扩张定理, 谱范数, 广义逆

Abstract: In this paper, the generalized inverse form solution of Davis, Kahan and
Weinberger’s norm-preserving extension theorem was given. Consequently, Zheng’s result
(1996) was proved in a more simple way.

Key words: spectral norm, generalized inverse , Kahan’s matrix extension theorem, spectral norm, generalized inverse