Formulas for the Drazin Inverse of Matrices with New Conditions and Its Applications

Formulas for the Drazin Inverse of Matrices with New Conditions and Its Applications

In this paper, we derive an explicit expression of ( P + Q ) d of two matrices P and Q , in terms of P , Q , P d and Q d , assuming some conditions. And we also obtain representations for the Drazin inverse of complex block matrix A B C D ( A and D are square) under some conditions. Finally, numeric...

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Veröffentlicht in:International journal of applied and computational mathematics 2018-02, Vol.4 (1), p.1-9, Article 4
Hauptverfasser: Dana, Mansour, Yousefi, R.
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Applied mathematics
Computational mathematics
Computational Science and Engineering
Mathematical and Computational Physics
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Nuclear Energy
Operations Research/Decision Theory
Original Paper
Theoretical
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Zusammenfassung:In this paper, we derive an explicit expression of ( P + Q ) d of two matrices P and Q , in terms of P , Q , P d and Q d , assuming some conditions. And we also obtain representations for the Drazin inverse of complex block matrix A B C D ( A and D are square) under some conditions. Finally, numerical examples are given to illustrate our results.
ISSN:2349-5103
2199-5796
DOI:10.1007/s40819-017-0459-5