Semi-inverses, reflexive semi-inverses and pseudoinverses of an arbitrary linear transformation

DOI10.1016/0024-3795(71)90002-4zbMath0254.15004OpenAlexW1990284949MaRDI QIDQ2558348

Emeric Deutsch

Publication date: 1971

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

Full work available at URL: https://doi.org/10.1016/0024-3795(71)90002-4

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09)

Related Items (7)

Exponential dichotomy and bounded solutions of differential equations in the Fréchet space ⋮ Inner, outer, and generalized inverses in banach and hilbert spaces ⋮ Generalized inverses of cone preserving maps ⋮ Application of the ergodic theory to the investigation of boundary-value problems with periodic operator coefficients ⋮ Autonomous nonlinear boundary-value problems for the Lyapunov equation in the Hilbert space ⋮ Generalized inverses of matrices: a perspective of the work of Penrose ⋮ A unified approach to generalized inverses of linear operators: I. Algebraic, topological and projectional properties

Cites Work

• Unnamed Item
• Generalized inverses of matrices with entries taken from an arbitrary field
• On the Generalized Inverse of an Arbitrary Linear Transformation
• Some Results on Generalized Inverses
• Construction of EPr generalized inverses by inversion of nonsingular matrices
• An Oblique Matrix Pseudoinverse
• Contributions to the Theory of Generalized Inverses
• A Note on Pseudoinverses

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