New additive results on Drazin inverse and its applications

DOI10.1016/j.amc.2011.08.083zbMath1245.15007OpenAlexW1978536695MaRDI QIDQ426289

Dragana S. Cvetković-Ilić

Publication date: 11 June 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.08.083

zbMATH Keywords

Banach algebraDrazin inversebounded operatorblock triangular matricesadditive propertiesoperator block-matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Linear operators on Banach algebras (47B48)

Related Items

A note on formulae for the generalized Drazin inverse of anti-triangular block operator matrices in Banach spaces, The p-Drazin inverse for operator matrix over Banach algebras, Representations for the Drazin inverse of the sum of two matrices and its applications, Exact expressions for the Drazin inverse of anti-triangular matrices, ON THE GROUP INVERSE FOR THE SUM OF MATRICES, The drazin inverse of the sum of two matrices and its applications

Cites Work

• On Drazin inverse of operator matrices
• Some additive results on Drazin inverses
• Further results on the representation of the Drazin inverse of a \(2\times 2\) block matrix
• On the Drazin inverse of the sum of two operators and its application to operator matrices
• Pseudo-Inverses in Associative Rings and Semigroups
• On the Generalized Drazin Inverse and Generalized Resolvent
• The Drazln inverse and systems of second order linear differential equations
• The Index and the Drazin Inverse of Block Triangular Matrices
• New additive results for the g-Drazin inverse
• Some additive results on Drazin inverse
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