Representations of the Drazin inverse on solution of a class singular differential equations
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Publication:3090732
DOI10.1080/03081087.2010.512291zbMath1227.15002OpenAlexW1970702660MaRDI QIDQ3090732
Kuize Zhang, Changjiang Bu, Jiemei Zhao
Publication date: 1 September 2011
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081087.2010.512291
Theory of matrix inversion and generalized inverses (15A09) Linear ordinary differential equations and systems (34A30)
Related Items (24)
A note on formulae for the generalized Drazin inverse of anti-triangular block operator matrices in Banach spaces ⋮ Solvability of certain quadratic operator equations and representations of Drazin inverses ⋮ Characterizations and representations for the Drazin inverse of anti-triangular block operator matrices with index less than two ⋮ On the Drazin inverse of an anti-triangular block matrix ⋮ The g-Drazin inverses of anti-triangular block operator matrices ⋮ Fixed-time convergence integral-enhanced ZNN for calculating complex-valued flow matrix Drazin inverse ⋮ Drazin inverse of anti-triangular operator matrices ⋮ The explicit formulas of the Drazin inverse of matrices and its \(n\)th powers ⋮ The generalized Drazin inverse of an operator matrix with commuting entries ⋮ The g-Drazin invertibility of a block operator matrix ⋮ Group inverses of matrices over right Ore domains ⋮ On the Drazin inverse of anti-triangular block matrices ⋮ Representations for the group inverse of anti-triangular block operator matrices ⋮ Some block matrices with signed Drazin inverses ⋮ Representations for the Drazin inverses of the sum of two matrices and some block matrices ⋮ Group inverses for a class of \(2{\times}2\) block matrices over rings ⋮ Representations for the Drazin inverse of an anti-triangular block operator matrix E with ind(E) ≤ 2 ⋮ A note on the group inverses of block matrices over rings ⋮ Group inverses for some \(2 \times 2\) block matrices over rings ⋮ Group invertible block matrices ⋮ Group inverse for two classes of \(2\times 2\) block matrices over rings ⋮ The g-Drazin inverses of special operator matrices ⋮ The Drazin inverse of anti-triangular block matrices ⋮ Some results on the Drazin inverse of anti-triangular matrices
Cites Work
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- Some generalized inverses of partition matrix and quotient identity of generalized Schur complement
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- 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
- Representations for the Drazin Inverse of a 2 x 2 Block Matrix
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