Moore-Penrose inverse of a Gram matrix and its nonnegativity

DOI10.1007/s10957-008-9426-yzbMath1173.15001OpenAlexW1973243484MaRDI QIDQ956625

K. C. Sivakumar, T. Kurmayya

Publication date: 25 November 2008

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

Full work available at URL: https://doi.org/10.1007/s10957-008-9426-y

zbMATH Keywords

Moore-Penrose inverseGram matrixnonnegativity

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (2)

About the generalized \(LM\)-inverse and the weighted Moore-Penrose inverse ⋮ Computation of generalized inverses using PHP/MySQL environment

Cites Work

• Unnamed Item
• Unnamed Item
• Recursive formulas for the generalized \(LM\)-inverse of a matrix
• Nonnegative Moore--Penrose inverses of Gram operators
• 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
• The Moore-Penrose inverse of a partitioned nonnegative definite matrix
• Generalized inverses. Theory and applications.
• A unified approach for the recursive determination of generalized inverses
• Recursive determination of the generalized Moore-Penrose \(M\)-inverse of a matrix
• The Moore of the Moore-Penrose inverse
• Response to Bucy’s comment on a paper by Udwadia and Kalaba
• Characterizations of Real Matrices of Monotone Kind
• On invertibility and positive invertibility of matrices
• Obtuse cones and Gram matrices with non-negative inverse

This page was built for publication: Moore-Penrose inverse of a Gram matrix and its nonnegativity