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两个矩阵和的Drazin逆 被引量:1

Drazin inverse of the addition of two matrices
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摘要 研究了两个矩阵和的Drazin逆的表示。根据一个分块矩阵拆分为两个三角矩阵的思想,利用Drazin逆的相关性质,给出了两个矩阵和在一定条件下Drazin逆表示的新的证明方法。 We address Drazin inverse of the addition of two matrices. We present a new proof approach of Drazin inverse of the addition of two matrices in some given conditions with the separation of a block matrix into two triangular matrices and the relevant properties of Drazin inverse.
出处 《山东科学》 CAS 2016年第2期88-91,95,共5页 Shandong Science
基金 四川省教育厅自然科学研究基金(14ZB0442 15ZB0465)
关键词 矩阵和 DRAZIN逆 三角矩阵 matrix addition Drazin inverse triangular matrix
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  • 1BEN-ISRAEL A, GREVILLE T N E. Generalized inverses: Theory and applications[M]. New York: Springer, 2003.
  • 2SHAKOOR A, YANG H, ALI I. The Drazin inverses of the sum two matrices and block matrix[J]. J Appl Math Informatics, 2013, 31(3): 343-352.
  • 3LIU X F, YANG H. Further results on the group inverses and Drazin inverses of antitriangular block matrices [J]. Appl Math Comput, 2012, 218(17): 8978-8986.
  • 4HARTWIG R E, WANG G,WEI Y M. Some additive results on Drazin inverse[J]. Linear Algebra Appl, 2001, 322(1/2/3) : 207 -217.
  • 5冯烟利.矩阵Drazin逆的应用[J].山东师范大学学报(自然科学版),1997,12(3):252-259. 被引量:2
  • 6DENG C Y, WEI Y M. Characterizations and representations of the Drazin inverse involving idempotents [J]. Linear Algebra Appl, 2009, 431 (9) : 1526 - 1538.
  • 7CASTRO-GONZALEZ N, MARTíNEZ-SERRANO M F. Expressions for the g-Drazin inverse of additive perturbed elements in a Banaeh algebra[J]. Linear Algebra Appl, 2010, 432 (8) : 1885 - 1895.
  • 8LIU X J, XU L, YU Y M. The representations of the Drazin inverse of differences of two matrices [J]. Appl Math Comput, 2010, 216(12) : 3652-3661.
  • 9WEI Y M. Expressions for the Drazin inverse of a block matrix[J]. Linear and Multilinear Algebra, 1998, 45(2) : 131 -146.
  • 10DENG C Y. Generalized Drazin inverse of anti-triangular block matrices[J]. Math Anal Appl, 2010, 368( 1 ) : 1 -8.

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