The generalized inverse of a sum with radical element: Applications

DOI10.1016/0024-3795(94)00350-5zbMath0862.15004OpenAlexW2067686131WikidataQ127012331 ScholiaQ127012331MaRDI QIDQ1816935

Dirk Huylebrouck

Publication date: 29 January 1997

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)00350-5

zbMATH Keywords

Moore-Penrose inversesformal power seriesleast squares solutionssums of matricesalgebraic perturbation theory

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09)

Related Items (7)

Constructing and counting regular triangular matrices ⋮ Diagonalizing triangular matrices via orthogonal Pierce decompositions ⋮ Generalized inverses of a sum of morphisms ⋮ A system of matrix equations and a linear matrix equation over arbitrary regular rings with identity ⋮ Core and dual core inverses of a sum of morphisms ⋮ Pseudo core inverses of a sum of morphisms ⋮ The Solution Set to the Quaternion Matrix Equation $AX-\overline{X}B=0$

Cites Work

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• On a particular case of the inconsistent linear matrix equation \(AX+YB=C\)
• Generalized inverses of a sum with a radical element
• Roth's theorems and decomposition of modules
• The matrix equation \(AX-YB=C\)
• The Moore-Penrose inverse of a morphism in an additive category
• Roth's Equivalence Problem in Unit Regular Rings
• The group inverse of a companion matrix
• A Note on an Iterative Method for Generalized Inversion of Matrices

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