Algebraic characterizations of the singular value decompositions in the transportation problem

DOI10.1016/0022-247X(91)90066-9zbMath0717.90047MaRDI QIDQ2638931

Yanyan Li

Publication date: 1991

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

zbMATH Keywords

Moore- Penrose inversealgebraic characterizationsHitchcock-Koopmans transportation

Mathematics Subject Classification ID

Special problems of linear programming (transportation, multi-index, data envelopment analysis, etc.) (90C08)

Related Items

An axial four-index transportation problem and its algebraic characterizations ⋮ Further results on the spectral decomposition of an incidence matrix ⋮ Some new results on the algebraic characterizations of an equality constrained optimization problem equivalent to the transportation problem ⋮ Construction and algebraic characterizations of the planar and axial transportation problems ⋮ Construction and algebraic characterizations of a planar four-index transportation problem equivalent to a circularization network flow problem

Cites Work

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• Total unimodularity and the transportation problem: a generalization
• Singular Value Decomposition and the Moore–Penrose Inverse of Bordered Matrices
• Generalizing the Singular Value Decomposition
• The Generalized Inverse in Linear Programming. Basic Structure
• The Generalized Inverse in Linear Programming—An Intersection Projection Method and the Solution of a Class of Structured Linear Programming Problems
• The Generalized Inverse in Linear Programming—Interior Gradient Projection Methods