Nonnegative Moore-Penrose inverse of Gram matrices in an indefinite inner product space

DOI10.1007/s10957-008-9450-yzbMath1176.15007OpenAlexW2026568191MaRDI QIDQ1024248

K. C. Sivakumar, Kiruthika Ramanathan

Publication date: 16 June 2009

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-008-9450-y

zbMATH Keywords

indefinite inner productMoore-Penrose inverseclosed convex conesGram matrixnonnegative inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Positive matrices and their generalizations; cones of matrices (15B48) Quadratic and bilinear forms, inner products (15A63)

Related Items (1)

Moore-Penrose inverses of Gram matrices leaving a cone invariant in an indefinite inner product space

Cites Work

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• Recursive formulas for the generalized \(LM\)-inverse of a matrix
• Proof by verification of the Greville/Udwadia/Kalaba formula for the Moore-Penrose inverse of a matrix
• Nonnegative Moore--Penrose inverses of Gram operators
• Theorems of the alternative over indefinite inner product spaces
• General forms for the recursive determination of generalized inverses: Unified approach
• An alternative proof of the Greville formula
• Sequential determination of the \(\{1, 4\}\)-inverse of a matrix
• A unified approach for the recursive determination of generalized inverses
• Recursive determination of the generalized Moore-Penrose \(M\)-inverse of a matrix
• Indefinite product of matrices and applications to indefinite inner product spaces
• Aufgaben monotoner Art
• Some Applications of the Pseudoinverse of a Matrix
• Obtuse cones and Gram matrices with non-negative inverse

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