摘要给出分块矩阵Drazin逆和群逆表示的充要条件.This paper presents the sufficient and necessary conditions for the Drazin inverse and group inverse presentation of block matrix.
1Dragana S. Cvetkovic-Ilic. Expression of the Drazin and MP-inverse of partitioned matrix and quotient identity of generalized Schur complement[ J ]. Applied Mathematics and Computation, 2009 : 174 : 1 - 7.
2Xingping Sheng, Guoliang Chen. Some generalized inverses of partition matrix and quotient identity of generalized Schur complement [ J]. Applied Mathematics and Computation 2008,196 : 174 - 184.
3Chun Yuan Deng. A note on the Drazin inverses with Banachiewicz-Schur forms [ J ]. Applied Mathematics and Computation ,2009,177 : 1 - 5.
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1徐仲.线形代数典型题解解集[M].2版.西安:西北工业大学出版社,2000.
2KOLIHA J J. A generalized Drazin inverse[ J]. Glasgow Math J, 1996, 38:367-381.
3DJORDJEVIC D S, STANIMIROVIC P S. On the generalized Drazin inverse and generalized resolvent [ J]. Czechoslovak Math J, 2001, 51:617-634.
4DJORDJEVIC D S, WEI Yimin. Additive results for the generalized Drazin inverse[ J]. J Austral Math Soc, 2002, 73 ( 1 ) : 115-125.
5HARTWING R E, SHOAF J M. Group inverses and Drazin inverses of bidiagonal and triangular Toeplitz matrices[ J]. Austral J Math Ser A, 1997,24 : 10-34.
6MEYER C D, ROSE N J. The index and the Drazin inverse of block triangular matrices[ J]. SIAM J Appl Math, 1977, 33: 1-7.
7DJORDJEVIC D S, RAKOCEVIC V. Lectures on generalized inverse[ M ]. Serbia: Faculty of Sciences and Mathematics, Uni- versity of Nis, 2008.
8DENG Chunyuan, WEI Yimin. New additive results for the generalized Drazin inverse [J].J Math Anal Appl, 2010, 370: 313-321.
9CVETKOVIC-ILIC D S, DENG Chunyuan. Some results on the Drazin invertibility and idempotents[ J]. J Math Anal Appl, 2009, 359:731-738.
10BEN-ISRAEL A, GREVILLE T N E. Generalized inverses: theory and applications[ M]. 2nd. New York: Springer Verlag, 2003 : 125-134.