Additive perturbation results for the Drazin inverse

DOI10.1016/j.laa.2004.11.001zbMath1071.15003OpenAlexW2163147962MaRDI QIDQ1774977

Niranjan Chakravarthy

Publication date: 4 May 2005

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2004.11.001

zbMATH Keywords

perturbationDrazin inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Vector spaces, linear dependence, rank, lineability (15A03)

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Cites Work

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• The error bound of the perturbation of the Drazin inverse
• Continuity properties of the Drazin pseudoinverse
• On the perturbation of the group inverse and oblique projection
• The perturbation theory for the Drazin inverse and its applications
• Perturbation of the Drazin inverse for matrices with equal eigenprojections at zero
• Perturbation of the Drazin inverse for closed linear operators
• Additive results for the generalized Drazin inverse
• Pseudo-Inverses in Associative Rings and Semigroups
• Updating finite markov chains by using techniques of group matrix inversion
• The Condition of a Finite Markov Chain and Perturbation Bounds for the Limiting Probabilities
• The Index and the Drazin Inverse of Block Triangular Matrices
• Some additive results on Drazin inverse

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