The perturbation of the Drazin inverse

DOI10.1080/00207160.2012.655689zbMath1255.15005OpenAlexW2048718954MaRDI QIDQ4903569

Yaoming Yu, Xiaoji Liu, Shuxia Wu

Publication date: 22 January 2013

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2012.655689

zbMATH Keywords

perturbationDrazin inversenumerical analysisblock matrixP-norm

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (1)

Acute perturbation of Drazin inverse and oblique projectors

Cites Work

• Error bounds for the perturbation of the Drazin inverse under some geometrical conditions
• The perturbation theory for the Drazin inverse and its applications
• The Drazin inverse of updating of a square matrix with application to perturbation formula
• Perturbation bound of the Drazin inverse
• Perturbation of the Drazin inverse for closed linear operators
• Perturbation of the generalized Drazin inverse
• A note on additive results for the Drazin inverse
• The Stable Perturbation of the Drazin Inverse of the Square Matrices
• Characterizations of a Class of Matrices and Perturbation of the Drazin Inverse
• Matrix Analysis
• The Index and the Drazin Inverse of Block Triangular Matrices
• The Group Inverse Associated with an Irreducible Periodic Nonnegative Matrix
• Some additive results on Drazin inverse

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