A note on additive results for the Drazin inverse

DOI10.1080/03081087.2010.496110zbMath1237.15009OpenAlexW2020145353MaRDI QIDQ3104562

Yi-Min Wei, Chun-Yuan Deng

Publication date: 14 December 2011

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

Full work available at URL: https://doi.org/10.1080/03081087.2010.496110

zbMATH Keywords

eigenvalueDrazin inversecommutativityadditive result

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (18)

On Hirano inverses in rings ⋮ Unnamed Item ⋮ On the Drazin inverse of the sum of two matrices ⋮ The explicit formulas of the Drazin inverse of matrices and its \(n\)th powers ⋮ A sharp version of Bauer-Fike's theorem ⋮ Some block matrices with signed Drazin inverses ⋮ The star partial order and the eigenprojection at 0 on EP matrices ⋮ Acute perturbation of Drazin inverse and oblique projectors ⋮ The perturbation of the Drazin inverse ⋮ Additive and product properties of Drazin inverses of elements in a ring ⋮ Representations for the pseudo Drazin inverse of elements in a Banach algebra ⋮ Additive property of Drazin invertibility of elements in a ring ⋮ A class of Drazin inverses in rings ⋮ The Drazin inverse of the sum of four matrices and its applications ⋮ The group inverse and core inverse of sums of two elements in a ring ⋮ ComputingA_T,S(²) inverses of Hermitian matrices viaLDL^*decomposition for a square matrixA ⋮ Strongly Drazin inverse in rings ⋮ The core inverses of linear combinations of two core invertible matrices

Cites Work

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• A perturbation bound for the eigenvalues of a singular diagonalizable matrix
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• Additive results for the generalized Drazin inverse
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• The reduced minimum modulus of Drazin inverses of linear operators on Hilbert spaces
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• The Condition of a Finite Markov Chain and Perturbation Bounds for the Limiting Probabilities
• The Index and the Drazin Inverse of Block Triangular Matrices
• Three Absolute Perturbation Bounds for Matrix Eigenvalues Imply Relative Bounds
• New additive results for the g-Drazin inverse
• Expressions for the drazin inverse of a 2×2 Block Matrix
• A Perturbation Bound of the Drazin Inverse of a Matrix by Separation of Simple Invariant Subspaces
• An improvement on perturbation bounds for the Drazin inverse
• Additive results for the generalized Drazin inverse in a Banach algebra
• Some additive results on Drazin inverse
• Deflation for block eigenvalues of block partitioned matrices with an application to matrix polynomials of commuting matrices

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