A decomposition scheme for  matrices: Application to the resolution of linear integer programs

A decomposition scheme for matrices: Application to the resolution of linear integer programs

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Article ID: iaor19941112
Country: France
Volume: 27
Issue: 3
Start Page Number: 293
End Page Number: 306
Publication Date: Jul 1993
Journal: Recherche Oprationnelle/Operations Research
Authors:
Keywords: matrices
Abstract:

Recognizing a network matrix is known to define a polynomial problem. From a new characterization of these matrices, the paper deduces a decomposition scheme for general equ3-matrices, and it shows how this scheme can be part of a resolution process for linear integer programs based upon the idea of transferring of integrality constraints from the original unknown vector to a somewhat smaller control vector.

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