Some results on the Drazin inverse of anti-triangular matrices

DOI10.1080/03081087.2012.753598zbMath1303.15004OpenAlexW2073635884MaRDI QIDQ2872523

Lizhu Sun, Changjiang Bu, Jiang Zhou, Yi-Min Wei

Publication date: 15 January 2014

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

Full work available at URL: https://doi.org/10.1080/03081087.2012.753598

zbMATH Keywords

Drazin inverseMoore-Penrose inversesign patternsigned Drazin inverseanti-triangle matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Sign pattern matrices (15B35)

Related Items (5)

A note on formulae for the generalized Drazin inverse of anti-triangular block operator matrices in Banach spaces ⋮ Ray pattern of Drazin inverses of some matrices ⋮ Representations for the Drazin inverse of the sum of two matrices and its applications ⋮ Group invertible block matrices ⋮ On matrices whose Moore-Penrose inverses are ray unique

Cites Work

• Some block matrices with signed Drazin inverses
• A note on the group inverse of some \(2 \times 2\) block matrices over skew fields
• Generalized Drazin inverses of anti-triangular block matrices
• Graphical description of group inverses of certain bipartite matrices
• Matrices with signed generalized inverses
• Representations of the Drazin inverse for a class of block matrices
• Matrices with doubly signed generalized inverses
• Group inverse for block matrices and some related sign analysis
• Representations of the Drazin inverse on solution of a class singular differential equations
• The Stable Perturbation of the Drazin Inverse of the Square Matrices
• Explicit representations of the Drazin inverse of block matrix and modified matrix
• The Drazln inverse and systems of second order linear differential equations
• APPLICATIONS OF THE DRAZIN INVERSE TO THE HILL CRYPTOGRAPHIC SYSTEM. PART III.
• The Condition of a Finite Markov Chain and Perturbation Bounds for the Limiting Probabilities
• The Index and the Drazin Inverse of Block Triangular Matrices
• Matrices with Special Sign Patterns of Signed Generalized Inverses
• A comment on some recent results concerning the Drazin inverse of an anti-triangular block matrix

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