期刊文献+

主理想整环上矩阵的群逆 被引量:4

Group inverses of matrices over a principal ideal domains
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摘要 给出主理想整环上矩阵群逆存在的一个新的充要条件,作为它的应用讨论了一类2×2块阵群逆的存在性及表示,推广了相关结果. Obtained a new equivalent condition for the existence of group inverse of matrix over a principal ideal domains,and researched on the existence and the representation of group inverse for a class 2 × 2 block matrix as its application,generalize the relative results.
出处 《高师理科学刊》 2009年第5期1-3,共3页 Journal of Science of Teachers'College and University
基金 国家自然科学基金(10671026) 黑龙江省2009年研究生创新科研资金(YJSCX2009-013HLJ)
关键词 主理想整环 群逆 值域 principal ideal domains group inverses column space
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参考文献7

  • 1Bhaskara Rao K P S. The Theory of Generalized Inverses over Commutative Rings [M]. New York: Taylor-Francis, 2002.
  • 2Cao C, Tang X. Representations of the group inverse of some 2 × 2 block matrices [J]. Int. Math. Forum, 2006, 31 : 1 511-1 517.
  • 3刘玉,曹重光.体上某些分块矩阵的Drazin逆(英文)[J].黑龙江大学自然科学学报,2004,21(4):112-114. 被引量:8
  • 4Bu Changjiang, Zhao Jiemei, Zhang Kuize. Some results on group inverses of block matrices over skew fields [J]. ELA, 2009 ( 18 ): 117-125.
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二级参考文献1

共引文献7

同被引文献24

  • 1陈建龙.关于环上矩阵的群逆与Drazin逆[J].数学学报(中文版),1994,37(3):373-380. 被引量:8
  • 2马元婧,曹重光.分块矩阵的群逆[J].哈尔滨师范大学自然科学学报,2005,21(4):7-8. 被引量:11
  • 3岑建苗.关于长方矩阵的加权群逆的存在性[J].计算数学,2007,29(1):39-48. 被引量:15
  • 4Cao Chong-guang, Li Ju-yan. Group inverses for matrices over Bezout Domain [J]. Electron J Linear Algebra, 2009, 18: 600-612.
  • 5Zhao Chun-jie, Li Ju-yan. Group inverses for a class of 2 × 2 block matrices matrices over a Bezout Domain[C]//Huang Ting-zhu, Li Hou-biao. Proceeding of the Sixth International Conference of Matrices and Operators. Chengdu: PR China World Academic Union, 2011:90-93.
  • 6Cao Chong-guang, Tang Xiao-min. Representations of the group inverse of some 2 × 2 block matrices [J]. Int Math Forum, 2006, 1 (31): 1511-1517.
  • 7Bu Chang-jiang, Zhao Jie-mei, Zhang Kui-ze. Some resuhs on group inverses of block matrices over skew fields [J]. Electron J Linear Algebra, 2009, 18:117-125.
  • 8Bu Chang-jiang, Zhang Kui-ze, Zhao Jie-mei. Some results on the group inverse of the block matrix with a sub-block of linear combination or product combination of matrices over skew fields [J]. Linear and Multilinear Algebra, 2010, 58 ( 8 ): 957-966.
  • 9Huang Li-ping. Geometry of Matrices over Ring[M]. Beijing: Science Press, 2006.
  • 10宋丽艳,曹重光.若干分块矩阵的群逆表示[J].黑龙江大学自然科学学报,2008,25(3):416-417. 被引量:3

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