若干矩阵偏序的秩等式刻画

华东师范大学学报(自然科学版) ›› 2011, Vol. 2011 ›› Issue (5): 5-11.

若干矩阵偏序的秩等式刻画

王宏兴

淮南师范学院数学与计算机科学系, 安徽淮南 232001

收稿日期:2011-01-01 修回日期:2011-04-01 出版日期:2011-09-25 发布日期:2011-11-22

Rank characterizations of some matrix partial orderings

WANG Hong-xing

Department of Mathematics and Computer Science, Huainan Normal University, Huainan Anhui} 232001, China

Received:2011-01-01 Revised:2011-04-01 Online:2011-09-25 Published:2011-11-22

摘要/Abstract

摘要： 应用{1}-逆、{1,3}-逆、{1,4}-逆和{1,5}-逆的表示与矩阵秩等式, 给出矩阵左*序、右*序、*序和Sharp序的秩等式刻画.

关键词: 减序, *序, Sharp序, 秩

Abstract: Applying the representations of {1}-inverse, {1,3}-inverse, {1,4}-inverse and {1,5}-inverse, the representations of the star, left-star, right-star and the Sharp partial orderings were given by using rank equalities, respectively.

Key words: minus partial ordering, star partial ordering, Sharp partial ordering, rank

中图分类号:

O151.09

王宏兴. 若干矩阵偏序的秩等式刻画[J]. 华东师范大学学报(自然科学版), 2011, 2011(5): 5-11.

WANG Hong-xing. Rank characterizations of some matrix partial orderings[J]. Journal of East China Normal University(Natural Sc, 2011, 2011(5): 5-11.

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