Representations for the Drazin inverses of 2 x 2 block matrices

Representations for the Drazin inverses of 2 x 2 block matrices

Let M denote a 2 x 2 block complex matrix [inline image][inline image], where A and D are square matrices, not necessarily with the same orders. In this paper explicit representations for the Drazin inverse of M are presented under the condition that BD super(iC = 0 for i = 0, 1, ... , n - 1, where...

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Veröffentlicht in:Applied mathematics and computation 2010-11, Vol.217 (6), p.2833-2842
Hauptverfasser: Guo, Li, Du, Xiankun
Format: Artikel
Sprache:eng
Schlagworte:
Blocking
Exact sciences and technology
Inverse
Mathematical analysis
Mathematical models
Mathematics
Matrices
Matrix methods
Numerical analysis
Numerical analysis. Scientific computation
Representations
Sciences and techniques of general use
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Beschreibung
Zusammenfassung:Let M denote a 2 x 2 block complex matrix [inline image][inline image], where A and D are square matrices, not necessarily with the same orders. In this paper explicit representations for the Drazin inverse of M are presented under the condition that BD super(iC = 0 for i = 0, 1, ... , n - 1, where n is the order of D.)
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2010.08.019