The nonunique parallel sum

DOI10.1016/S0024-3795(96)00243-1zbMath0892.15010OpenAlexW2091355153MaRDI QIDQ1362626

K. Manjunatha Prasad, Sujit Kumar Mitra

Publication date: 3 August 1998

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(96)00243-1

zbMATH Keywords

parallel sumshorted matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Linear operator inequalities (47A63) Algebraic systems of matrices (15A30)

Related Items

Bilateral shorted operators and parallel sums ⋮ On additive decompositions of solutions of the matrix equation \(AXB=C\) ⋮ On additive decomposition of the Hermitian solution of the matrix equation \(AXA^* = B\) ⋮ On some matrix equalities for generalized inverses with applications

Cites Work

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• Shorted operators and rank decomposition matrices
• Shorted operators and generalized inverses of matrices
• Shorted matrices - an extended concept and some applications
• Separation theorems
• The nonunique shorted matrix
• Series and parallel addition of matrices
• A Gauss–Markov Theorem for Infinite-Dimensional Regression Models with Possibly Singular Covariance
• The natural partial order on a regular semigroup
• The Shorted Operator Statistically Interpreted
• Shorted Operators. II

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