Perturbation bound for the Drazin inverse of the matrix-value function

DOI10.1155/2019/8136215zbMath1417.15007OpenAlexW2908144640WikidataQ128686977 ScholiaQ128686977MaRDI QIDQ2425124

Xiaoji Liu, Zhenshu Xie, Yonghui Qin

Publication date: 26 June 2019

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2019/8136215

zbMATH Keywords

perturbationsDrazin inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Perturbation theory of linear operators (47A55)

Cites Work

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• Continuity properties of the Drazin pseudoinverse
• The perturbation theory for the Drazin inverse and its applications
• Explicit formulas for determinantal representations of the Drazin inverse solutions of some matrix and differential matrix equations
• The Stable Perturbation of the Drazin Inverse of the Square Matrices
• Perturbation analysis for the generalized Schur complement of a positive semi‐definite matrix
• Characterizations of a Class of Matrices and Perturbation of the Drazin Inverse
• The Condition of a Finite Markov Chain and Perturbation Bounds for the Limiting Probabilities
• Differentiation of the Drazin Inverse
• Applications of the Drazin Inverse to Linear Systems of Differential Equations with Singular Constant Coefficients
• Error Bounds for Perturbation of the Drazin Inverse of Closed Operators with Equal Spectral Projections
• Differentiating matrix functions
• Generalized Inverses of Linear Transformations
• A Perturbation Bound of the Drazin Inverse of a Matrix by Separation of Simple Invariant Subspaces
• Stable perturbation in Banach algebras
• The Differentiation of Pseudo-Inverses and Nonlinear Least Squares Problems Whose Variables Separate

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