A note on the representation for the Drazin inverse of 2 × 2 block matrices
In this note we consider representations of the Drazin inverse of 2 × 2 block matrices under conditions weaker than those used in recent papers on the subject, in particular in [D.S. Djordjević, P.S. Stanimirović, On the generalized Drazin inverse and generalized resolvent, Czechoslovak Math. J. 51...
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| Veröffentlicht in: | Linear algebra and its applications Jg. 429; H. 1; S. 242 - 248 |
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| Abstract | In this note we consider representations of the Drazin inverse of
2
×
2
block matrices under conditions weaker than those used in recent papers on the subject, in particular in [D.S. Djordjević, P.S. Stanimirović, On the generalized Drazin inverse and generalized resolvent, Czechoslovak Math. J. 51 (126) (2001) 617–634; R. Hartwig, X. Li, Y. Wei, Representations for the Drazin inverse of
2
×
2
block matrix, SIAM J. Matrix Anal. Appl. 27 (2006) 757–771]. |
|---|---|
| AbstractList | In this note we consider representations of the Drazin inverse of
2
×
2
block matrices under conditions weaker than those used in recent papers on the subject, in particular in [D.S. Djordjević, P.S. Stanimirović, On the generalized Drazin inverse and generalized resolvent, Czechoslovak Math. J. 51 (126) (2001) 617–634; R. Hartwig, X. Li, Y. Wei, Representations for the Drazin inverse of
2
×
2
block matrix, SIAM J. Matrix Anal. Appl. 27 (2006) 757–771]. |
| Author | Cvetković-Ilić, Dragana S. |
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| Cites_doi | 10.1137/040606685 10.1017/S0308210500003632 10.1137/0133001 10.1080/03081088308817556 10.1016/j.laa.2004.11.001 10.1016/j.laa.2006.01.015 10.1016/0024-3795(95)00561-7 10.1016/j.laa.2007.01.005 10.1023/A:1013792207970 10.1016/j.laa.2006.06.015 10.1080/00029890.1958.11991949 10.1016/S0024-3795(00)00257-3 10.1080/03081089808818583 10.1017/S1446788700020036 |
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| Keywords | Drazin inverse Additive result 15A09 Block matrix Resolvent Matrix inversion Generalized inverse |
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| References | Campbell, Meyer (bib4) 1979 Hartwig, Li, Wei (bib13) 2006; 27 Castro González, Koliha (bib7) 2004; 134 Wang, Wei, Qiao (bib16) 2003 Wei, Li, Bu, Zhang (bib19) 2006; 419 Campbell (bib2) 1980 Cvetković-Ilić, Djordjević, Wei (bib9) 2006; 418 Hartwig, Wang, Wei (bib14) 2001; 322 Castro-González (bib6) 2005; 397 Djordjević, Stanimirović (bib10) 2001; 51 Castro-González, Dopazo, Robles (bib5) 2006; 174 Chen, Hartwig (bib8) 1996; 237–238 Li, Wei (bib17) 2007 Campbell (bib3) 1983; 14 Drazin (bib11) 1958; 65 Hartwig, Shoaf (bib12) 1977; 24 Meyer, Rose (bib15) 1977; 33 Ben-Israel, Greville (bib1) 2003 Wei (bib18) 1998; 45 Castro-González (10.1016/j.laa.2008.02.019_bib5) 2006; 174 Castro-González (10.1016/j.laa.2008.02.019_bib6) 2005; 397 Chen (10.1016/j.laa.2008.02.019_bib8) 1996; 237–238 Ben-Israel (10.1016/j.laa.2008.02.019_bib1) 2003 Li (10.1016/j.laa.2008.02.019_bib17) 2007 Hartwig (10.1016/j.laa.2008.02.019_bib12) 1977; 24 Campbell (10.1016/j.laa.2008.02.019_bib4) 1979 Meyer (10.1016/j.laa.2008.02.019_bib15) 1977; 33 Campbell (10.1016/j.laa.2008.02.019_bib2) 1980 Campbell (10.1016/j.laa.2008.02.019_bib3) 1983; 14 Hartwig (10.1016/j.laa.2008.02.019_bib13) 2006; 27 Hartwig (10.1016/j.laa.2008.02.019_bib14) 2001; 322 Wei (10.1016/j.laa.2008.02.019_bib18) 1998; 45 Cvetković-Ilić (10.1016/j.laa.2008.02.019_bib9) 2006; 418 Djordjević (10.1016/j.laa.2008.02.019_bib10) 2001; 51 Drazin (10.1016/j.laa.2008.02.019_bib11) 1958; 65 Wei (10.1016/j.laa.2008.02.019_bib19) 2006; 419 Wang (10.1016/j.laa.2008.02.019_bib16) 2003 Castro González (10.1016/j.laa.2008.02.019_bib7) 2004; 134 |
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2
×
2
block matrices under conditions weaker than those used in recent papers on the subject,... |
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| SubjectTerms | Additive result Algebra Block matrix Drazin inverse Exact sciences and technology Linear and multilinear algebra, matrix theory Mathematics Sciences and techniques of general use |
| Title | A note on the representation for the Drazin inverse of 2 × 2 block matrices |
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