On parallel summability of matrices

DOI10.1016/0024-3795(86)90126-6zbMath0589.15004OpenAlexW1986864894MaRDI QIDQ1073867

Patrick L. Odell, Sujit Kumar Mitra

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0024-3795(86)90126-6

zbMATH Keywords

generalized inversesalmost positive definiteparallel summability

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09)

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Cites Work

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• On parallel sum and difference of matrices
• Series and parallel addition of matrices
• Almost Definite Operators and Electro-mechanical Systems
• The Fundamental Bordered Matrix of Linear Estimation and the Duffin-Morley General Linear Electromechanical Systems
• Pseudoinverss of Postive Semidefeinite Matrices
• Two Subspaces