Representations for the Drazin inverse of an anti-triangular block operator matrix E with ind(E) ≤ 2

DOI10.1080/03081087.2017.1335688zbMath1393.15008OpenAlexW2621119702MaRDI QIDQ4643707

Chuanning Song, Qingxiang Xu, Lili He

Publication date: 28 May 2018

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

Full work available at URL: https://doi.org/10.1080/03081087.2017.1335688

zbMATH Keywords

Drazin inverseMoore-Penrose inversematrix pencilanti-triangular block matrixhomogeneous algebraic differential equation

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Explicit solutions, first integrals of ordinary differential equations (34A05) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (2)

Characterizations and representations for the Drazin inverse of anti-triangular block operator matrices with index less than two ⋮ On the Drazin inverse of anti-triangular block matrices

Cites Work

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• Representations of the Drazin inverse on solution of a class singular differential equations
• The Drazln inverse and systems of second order linear differential equations
• Applications of the Drazin Inverse to Linear Systems of Differential Equations with Singular Constant Coefficients
• The group inverse of a companion matrix
• Second-Order Systems with Singular Mass Matrix and an Extension of Guyan Reduction
• Spectral theory of linear operators and spectral systems in Banach algebras

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