期刊文献+

矩阵之和Drazin逆的新表示 被引量:1

The new representations for the Drazin inverse of the sum of matrices
下载PDF
导出
摘要 研究了两矩阵和的Drazin逆的表示问题,利用Drazin逆的定义和引理,得到两个矩阵和的Drazin逆的新结论。 The problem of expressing the Drazin inverse of sum of two matrices is studied.By using the definition and lemma of Drazin inverse,a new conclusion of the Drazin inverse of sum of two matrices is obtained.
作者 刘新 LIU Xin(Department of Basic Education,Sichuan Information Technology College,Guangyuan,Sichuan 628017,China)
出处 《贵州师范大学学报(自然科学版)》 CAS 2020年第5期61-63,共3页 Journal of Guizhou Normal University:Natural Sciences
基金 四川省教育厅自然科学基金(18ZB0521)。
关键词 DRAZIN逆 分裂 Sum Drazin inverse Splitting
  • 相关文献

参考文献6

二级参考文献17

  • 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.

共引文献10

同被引文献5

引证文献1

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