A note on computational formulas for the Drazin inverse of certain block matrices

被引：8
作者：
Bu, Changjiang [1 ]
Feng, Chengcheng [1 ]
Dong, Pengfei [1 ]
机构：
[1] Dept. of Applied Math., College of Science, Harbin Engineering University
来源：
Journal of Applied Mathematics and Computing | 2012年 / 38卷 / 1-2期
关键词：
Block matrix; Drazin inverse; Generalized Schur complement;
D O I：
10.1007/s12190-011-0501-4
中图分类号：
学科分类号：
摘要：
In this paper, we give a computational formula for the Drazin inverse of the sum P+Q, then applying it we give some computational formulas for the Drazin inverse of block matrix [InlineEquation not available: see fulltext.] (A and D are square) with generalized Schur complement S=D-CA D B is nonsingular under some conditions. These results extend the results about the Drazin inverse of M given by R. Hartwig, X. Li and Y. Wei (SIAM J. Matrix Anal. Appl. 27:757-771, 2006) and by C. Deng (J. Math. Anal. Appl. 368:1-8, 2010). © 2011 Korean Society for Computational and Applied Mathematics.
引用
收藏
页码：631 / 640
页数：9
相关论文
共 50 条
  • [31] On deriving the generalized Drazin inverse of block matrices in a Banach algebra
    Mosic, Dijana
    QUAESTIONES MATHEMATICAE, 2016, 39 (04) : 511 - 521
  • [32] Further Expressions on the Drazin Inverse for Block Matrix
    Shakoor, Abdul
    Ali, Ilyas
    Wali, Samad
    Rehman, Abdur
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2020, 44 (03): : 833 - 837
  • [33] The Drazin Inverse of the Sum of Two Matrices and its Applications
    Xia, Lingling
    Deng, Bin
    FILOMAT, 2017, 31 (16) : 5151 - 5158
  • [34] The Drazin inverse and Drazin ordering of quaternion matrices
    Zhao, Linlin
    Li, Ying
    Jia, Zhigang
    ADVANCES IN MATRIX THEORY AND APPLICATIONS, 2006, : 226 - 229
  • [35] Representations for the Drazin inverses of the sum of two matrices and some block matrices
    Bu, Changjiang
    Feng, Chengcheng
    Bai, Shuyan
    APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (20) : 10226 - 10237
  • [36] Representations for the Drazin inverses of block matrices
    Guo, Li
    Wang, Jie
    Du, Wenming
    2016 INTERNATIONAL CONFERENCE ON MECHATRONICS, MANUFACTURING AND MATERIALS ENGINEERING (MMME 2016), 2016, 63
  • [37] Representations for Drazin inverse of block matrix
    Ljubisavljevic, Jelena
    Cvetkovic-Ilic, Dragana S.
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2013, 15 (03) : 481 - 497
  • [38] Representation for the Drazin inverse of the block matrix
    Bu, Tanyi
    Zhang, Chundi
    PROCEEDINGS OF THE SEVENTH INTERNATIONAL CONFERENCE OF MATRICES AND OPERATORS (MAO 2012), 2012, : 211 - 214
  • [39] Further Results on the Generalized Drazin Inverse of Block Matrices in Banach Algebras
    Kolundzija, Milica Z.
    Mosic, Dijana
    Djordjevic, Dragan S.
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2015, 38 (02) : 483 - 498
  • [40] Block representations of the generalized Drazin inverse
    Mosic, Dijana
    Djordjevic, Dragan S.
    APPLIED MATHEMATICS AND COMPUTATION, 2018, 331 : 200 - 209
12345