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两个矩阵和Drazin逆表示新的结果 被引量：3

A New Result Generated by the Sum of Two Matrices and Drazin Inverse
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摘要 针对两个矩阵和的Drazin逆的表示,由Drazin逆的定义,根据矩阵分解的思想,利用Drazin逆的相关性质,给出了两个矩阵和在一定条件下Drazin逆新的表示。 According to the definition ed properties of the Drazin inverse,a new under a particular condition. of the Drazin inverse, with the representation of two matrices matrix decomposition and the relat- and the Drazin inverse is generated
作者 刘新
机构地区 四川信息职业技术学院基础教育部
出处 《乐山师范学院学报》 2016年第12期10-12,共3页 Journal of Leshan Normal University
基金 四川省教育厅自然科学基金项目"酉不变范数不等式与奇异值估计"(15ZB0465)
关键词 矩阵和 DRAZIN逆 矩阵指数 Sum of Matrices The Drazin Inverse Matrix Index
分类号 O151.21 [理学—基础数学]
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参考文献1

二级参考文献15

  • 1MEYER C D, ROSE N J. The index and the Drazin inverse of block triangular matrices [ J ]. SIAM Journal on Applied Mathematics, 1977, 33: 1-7.
  • 2CAMPBELL S L. The Drazin inverse and systems of second order linear differential equations [ J ]. Linear and Multilin- ear Algebra, 1983, 14: 195-198.
  • 3CAMPBELL S L, MEYER C D. Generalized inverses of lin-ear transformations [ M]. London: Pitman, 1979 : 45-104.
  • 4SHENG Xingping, CHEN Guoliang. Some generalized in- verses of partition matrix and quotient identity of generalized Schur complement [ J ]. Applied Mathematics and Computa- tion, 2008, 196: 174-184.
  • 5HARTWIG R E, WANG Guorong, WEI Yimin. Some addi- tive results on Drazin inverse [ J ]. Linear Algebra and its Applications, 2001, 322: 207-217.
  • 6WEI Yimin, WANG Guorong. The perturbation theory for the Drazin inverse and its applications [ J ]. Linear Algebra and its Applications, 1997, 258: 179-186.
  • 7CASTRO-GONZA'LEZ N, KOLIHA J J, WEI Yimin. Per- turbation of the Drazin inverse for matrices with equal eigen- projections at zero [ J ]. Linear Algebra and its Applica- tions, 2000, 312: 181-189.
  • 8BU Changjiang. Linear maps preserving Drazin inverses of matrices over fields [ J ]. Linear Algebra and its Applica- tions, 2005, 396: 159-173.
  • 9WEI Yimin. Expressions for the Drazin inverse of a 2 x 2 block matrix [ J]. Linear and Muhilinear Algebra, 1998, 45 : 131-146.
  • 10HARTWIG R E, LI Xiezhang, WEI Yimin. Representa- tions for the Drazin inverse of a 2 x 2 block matrix [ J ]. SIAM Journal Matrix Analysis and Applications, 2006, 27 (3) : 757-771.

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乐山师范学院学报
2016年 第12期

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