期刊文献+

关于集基矩阵偏序(英文)

On Set-based Matrix Partial Orders
下载PDF
导出
摘要 讨论矩阵偏序的一致理论,给出的一致理论可以刻划所有的矩阵偏序.给出了原有的一些矩阵偏序和拟序的投标空间和集基映射.讨论并给出了几种矩阵偏序运算. The unified theory of the matrix partial orders is investigated. The unified theory presented here covers all matrix partial orders. The target spaces and the set-based maps for some old partial orders and pre-orders are given. The operations of partial orders are discussed.
作者 岑建苗
机构地区 宁波大学理学院
出处 《宁波大学学报(理工版)》 CAS 2005年第2期141-144,共4页 Journal of Ningbo University:Natural Science and Engineering Edition
关键词 矩阵 偏序 广义逆 matrix partial order generalized inverse
  • 相关文献

参考文献13

  • 1Mitra S K. Matrix partial orders through generalized inverses: unified theorem [ J ]. Linear Algebra Appl,1991,148:237-262.
  • 2Mitra S K, Hartwig R E. Partial orders based on outerinverses [ J ]. Linear Algebra Appl, 1992,176 : 3-20.
  • 3Cen Jianmiao. On the unified theory of matrix partial orders[J]. Chin J Eng Math,2005,22(1):139-143.
  • 4Baksalary J K, Mitra S K. Left-star and rightstar partialorders [ J ]. Linear Algebra Appl, 1991,149 : 73-89.
  • 5Mitra S K. The minus partial order and the shorted matrix [ J ]. Linear Algebra Appl, 1986,83 : 1-27.
  • 6Mitra S K. On group inverses and the sharp order[J].Linear Algebra Appl, 1987,92 : 17-37.
  • 7Baksalary J K, Pukelsheim S F, Styan P H. Some properties of matrix partial orderings [ J ]. Linear Algebra Appl, 1959,119:57-85.
  • 8Baksalary J K, Hauke J. Partial orderings of matricesreferring to singular or eigenvalues [ J ]. Linear Algebra Appl, 1957,96 : 17-26.
  • 9Baksalary J K. A relationship between the star and minus orderings[ J]. Linear Algebra Appl, 1986,82 : 163-167.
  • 10Drazin M P. Natural structures on semigroup with involution[J]. Bull Amer Math Soc, 1978,64 : 139-141.

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