Encyclopedia of Operations Research and Management Science

2001 Edition
| Editors: Saul I. Gass, Carl M. Harris

BLOCK-ANGULAR SYSTEM

Reference work entry
DOI: https://doi.org/10.1007/1-4020-0611-X_80
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A linear system of equations for which its matrix of coefficients A can be decomposed into k separate blocks of coefficients Ai, where each Ai represents the coefficients of a different set of equations. This structure typically represents a system consisting of k subsystems whose activities are almost autonomous, except for a few top-level system constraints whose variables couple the k blocks of the subsystems. Such systems can also have a few variables external to the blocks that couple the blocks. Dantzig-Wolfe decomposition algorithm; Large-scale systems; Weakly-coupled systems.

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© Kluwer Academic Publishers 2001

Authors and Affiliations

  1. 1.Robert H. Smith School of BusinessUniversity of MarylandCollege PartUSA
  2. 2.School of Information Technology & EngineeringGeorge Mason UniversityFairfaxUSA