How to express a parallel sum of \(k\) matrices

DOI10.1006/jmaa.2001.7732zbMath0997.15004OpenAlexW2091379119MaRDI QIDQ1598423

Yongge Tian

Publication date: 24 July 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2001.7732

zbMATH Keywords

rankMoore-Penrose inverseparallel sumshorted matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Positive matrices and their generalizations; cones of matrices (15B48) Vector spaces, linear dependence, rank, lineability (15A03) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (7)

Parallel Sum Primal Spaces for Isogeometric Deluxe BDDC Preconditioners ⋮ Parallel Sums and Adaptive BDDC Deluxe ⋮ On the parallel addition and subtraction of operators on a Hilbert space ⋮ On parallel sum of operators ⋮ On parallel sum of matrices ⋮ On some matrix equalities for generalized inverses with applications ⋮ On the properties of weakly parallel summable operators

Cites Work

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• On parallel sum and difference of matrices
• The Moore-Penrose inverses of \(m\times n\) block matrices and their applications
• Shorted matrices - an extended concept and some applications
• Series and parallel addition of matrices

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