A note on the representation for the Drazin inverse of \(2 \times 2\) block matrices
From MaRDI portal
Publication:927769
DOI10.1016/j.laa.2008.02.019zbMath1148.15001OpenAlexW2001438126MaRDI QIDQ927769
Publication date: 9 June 2008
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2008.02.019
Related Items
Characterizations and representations of the Drazin inverse involving idempotents, Expressions for the \(g\)-Drazin inverse of additive perturbed elements in a Banach algebra, Further results on the representation of the Drazin inverse of a \(2\times 2\) block matrix, Solvability of certain quadratic operator equations and representations of Drazin inverses, Characterizations of DMP inverse in a Hilbert space, The Drazin invertibility of the difference and the sum of two idempotent operators, New representations of the group inverse of \(2 \times 2\) block matrices, Representations for the Drazin inverses of \(2 \times 2\) block matrices, The Drazin inverse of the sum of two matrices and its applications, Some results on the \((2, 2, 0)\) Drazin inverse problem, Representations for the Drazin inverse of the sum of two matrices and its applications, On the Drazin inverse of an anti-triangular block matrix, Drazin inverse of anti-triangular operator matrices, The explicit formulas of the Drazin inverse of matrices and its \(n\)th powers, Representations for the Drazin inverse of \(2\times 2\) block-operator matrix with singular Schur complement, Further results on the group inverses and Drazin inverses of anti-triangular block matrices, The expression of the Drazin inverse with rank constraints, Unnamed Item, Some additive results on Drazin inverse, Relationships between DMP relation and some partial orders, Some results on the generalized Drazin inverse of operator matrices, Representations for the Drazin inverse of the sum \(P+Q+R+S\) and its applications, Additive results for the Drazin inverse of block matrices and applications, A representation for the Drazin inverse of block matrices with a singular generalized Schur complement, Generalized Drazin inverses of anti-triangular block matrices, A note on the group inverse of some \(2 \times 2\) block matrices over skew fields, Drazin inverse of partitioned matrices in terms of Banachiewicz-Schur forms, Full-rank block \(LDL^\ast\) decomposition and the inverses of \(n\times n\) block matrices, Representations of generalized inverses and Drazin inverse of partitioned matrix with Banachiewicz-Schur forms, A note on the Drazin inverse of an anti-triangular matrix, Group inverse for the block matrices with an invertible subblock, A note on the formulas for the Drazin inverse of the sum of two matrices, Properties of m-EP operators, Representations of the Drazin inverse on solution of a class singular differential equations, Expression of the Drazin and MP-inverse of partitioned matrix and quotient identity of generalized Schur complement, The existence and representation of the Drazin inverse of a 2 × 2 block matrix over a ring, The Drazin inverse of anti-triangular block matrices, Further results on the generalized Drazin inverse of block matrices in Banach algebras, The drazin inverse of the sum of two matrices and its applications
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Relative perturbation bounds for the eigenvalues of diagonalizable and singular matrices -- application of perturbation theory for simple invariant subspaces
- A note on the representations for the Drazin inverse of \(2 \times 2\) block matrices
- Additive perturbation results for the Drazin inverse
- Generalized inverses. Theory and applications.
- The group inverse of a triangular matrix
- Formulas for the Drazin inverse of special block matrices
- Pseudo-Inverses in Associative Rings and Semigroups
- On the Generalized Drazin Inverse and Generalized Resolvent
- The Drazln inverse and systems of second order linear differential equations
- The Index and the Drazin Inverse of Block Triangular Matrices
- New additive results for the g-Drazin inverse
- Expressions for the drazin inverse of a 2×2 Block Matrix
- Representations for the Drazin Inverse of a 2 x 2 Block Matrix
- Additive results for the generalized Drazin inverse in a Banach algebra
- Some additive results on Drazin inverse