Operator equations and inner inverses of elementary operators

DOI10.1080/03081087.2019.1652239OpenAlexW2968364678MaRDI QIDQ5158074

Amina Boussaid, Farida Lombarkia

Publication date: 21 October 2021

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

Full work available at URL: https://doi.org/10.1080/03081087.2019.1652239

zbMATH Keywords

elementary operatorsHermitian solutionsinner inverseoperators equations

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Commutators, derivations, elementary operators, etc. (47B47) Equations involving linear operators, with operator unknowns (47A62) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Cites Work

• Unnamed Item
• Equations \(ax = c\) and \(xb = d\) in rings and rings with involution with applications to Hilbert space operators
• The reflexive and anti-reflexive solutions of the matrix equation \(AX=B\).
• The Sylvester equation and approximate balanced reduction
• An iteration method for the symmetric solutions and the optimal approximation solution of the matrix equation \(AXB\)=\(C\)
• Fast algorithms for the Sylvester equation \(AX-XB^{T}=C\)

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