Representation of projectors involving Minkowski inverse in Minkowski space

DOI10.1007/s13226-017-0238-3zbMath1409.15002OpenAlexW2750957075MaRDI QIDQ1701544

Mohd Saleem Lone, D. Krishnaswamy

Publication date: 27 February 2018

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-017-0238-3

zbMATH Keywords

Minkowski inverseoblique projector\(m\)-symmetric\(m\)-projectors

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (1)

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Cites Work

• Projection matrices, generalized inverse matrices, and singular value decomposition.
• A note on \(k\)-generalized projections
• A simplification of the Kovarik formula
• Generalized projections in Banach algebras
• Functions of orthogonal projectors involving the Moore-Penrose inverse
• Revisitation of the product of two orthogonal projectors
• On the product of orthogonal projectors
• On projections in a space with an indefinite metric
• Generalized and hypergeneralized projectors
• The spectral characterization of generalized projections
• Generalized inverses. Theory and applications.
• The difference and sum of projectors
• Operators with equal projections related to their generalized inverses
• Further properties of generalized and hypergeneralized projectors
• Constructing projections on sums and intersections
• From a formula of Kovarik to the parametrization of idempotents in Banach algebras
• Inverting the Difference of Hilbert Space Projections
• Nonsingularity of the Difference of Two Oblique Projectors
• Solutions of the Matrix Equation $XAX = X$, and Relations between Oblique and Orthogonal Projectors
• Combinatorial Matrix Theory and Generalized Inverses of Matrices
• Rank equalities for idempotent and involutory matrices
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