期刊文献+

关于矩阵的泛正定性与广义逆偏序的一个注记

A Note On the Universal Positive Definiteness and the Partial Ordering of Generalized Inverse of Matrix
原文传递
导出
摘要 指出“矩阵的泛正定性与广义逆偏序”一文的一些错误,利用矩阵的同时合同变换给出了矩阵偏序的若干刻画. Some false statements in the paper "on the universal positive definiteness and the partial ordering of generalized inverse of matrix" are corrected,and some characterisation of the partial ordering of matrices are given .
作者 刘晓冀
出处 《数学的实践与认识》 CSCD 北大核心 2007年第9期133-135,共3页 Mathematics in Practice and Theory
基金 广西科学基金(0575032 0640016) 广西教育厅科研项目(200507126) 广西高校百种青年学科带头人联合资助
关键词 正定矩阵 偏序 广义逆 positive definite matrix partial ordering generalized inverse
  • 相关文献

参考文献7

  • 1杨虎.矩阵的泛正定与广义逆偏序[J].系统科学与数学,1993,13(3):270-275. 被引量:22
  • 2佟文廷.广义正定矩阵[J].数学学报,1984,27(6):801-801.
  • 3Hartwig R E.A note on the partial ordering of positive semidefinite matrices[J].Linear and Multilinear Algebra,1978,(6):223-226.
  • 4Baksalary J K,Pukelsheim F,Styan G P H.Some properties of matrix partial orderings[J].Linear Algebra Application,1989,(119):57-85.
  • 5Baksalary J K,Baksalary O M,Xiaoji Liu.Further properties of the star,left-star,and minus partial orderings[J].Linear Algebra and Its Application,2003,375:83-94.
  • 6Baksalary J K,Baksalary O M,Xiaoji Liu.Further relationships between certain partial orders of matrices and their squares[J].Linear Algebra and Its Application,2003,375:83-94.
  • 7Baksalary J K,Hauke J,Xiaoji Liu,Sanyang Liu.Relationships between partial orders of matrices and their powers[J].Linear Algebra and Its Application,2004,379:277-287.

二级参考文献2

  • 1夏长富,数学研究与评论,1988年,8卷,4期,499页
  • 2佟文廷,数学学报,1987年,27卷,801页

共引文献79

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部