Projecting onto rectangular matrices with prescribed row and column sums

DOI10.1186/s13663-021-00708-1OpenAlexW3165709060MaRDI QIDQ2138457

Heinz H. Bauschke, Shambhavi Singh, Shawn Xianfu Wang

Publication date: 12 May 2022

Published in: Fixed Point Theory and Algorithms for Sciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.12222

zbMATH Keywords

projectionMoore-Penrose inverseHilbert-Schmidt operatorstransportation polytoperectangular matricesgeneralized bistochastic matrices

Mathematics Subject Classification ID

Convex programming (90C25) Convex sets and cones of operators (47L07) Stochastic matrices (15B51) Applications of generalized inverses (15A10)

Cites Work

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• Single-projection procedure for linear optimization
• Closest matrices in the space of generalized doubly stochastic matrices
• Easy transportation-like problems on K-dimensional arrays
• Strengthened splitting methods for computing resolvents
• The nearest ‘doubly stochastic’ matrix to a real matrix with the same first moment
• Un problème d'approximation matricielle : quelle est la matrice bistochastique la plus proche d'une matrice donnée ?
• Convex analysis and monotone operator theory in Hilbert spaces

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