Solvability of certain quadratic operator equations and representations of Drazin inverses

DOI10.1016/j.laa.2013.03.023zbMath1297.47018OpenAlexW2126804119MaRDI QIDQ2637152

Qingxiang Xu, Li Zhang, Chuanning Song

Publication date: 19 February 2014

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

Full work available at URL: https://doi.org/10.1016/j.laa.2013.03.023

zbMATH Keywords

solvabilityDrazin inversenilpotentquadratic operator equation

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Equations involving nonlinear operators (general) (47J05) Matrix equations and identities (15A24) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Equations involving linear operators, with operator unknowns (47A62)

Related Items (5)

General exact solutions of the second-order homogeneous algebraic differential equations ⋮ On the Drazin inverse of an anti-triangular block matrix ⋮ The generalized Drazin inverse of an operator matrix with commuting entries ⋮ Representations for the group inverse of anti-triangular block operator matrices ⋮ Representations for the Drazin inverse of an anti-triangular block operator matrix E with ind(E) ≤ 2

Cites Work

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• Numerical analysis of a quadratic matrix equation
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