A linear system of equations for which its matrix of coefficients A can be decomposed into k separate blocks of coefficients A i, where each A i 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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© 2001 Kluwer Academic Publishers
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Gass, S.I., Harris, C.M. (2001). BLOCK-ANGULAR SYSTEM . In: Gass, S.I., Harris, C.M. (eds) Encyclopedia of Operations Research and Management Science. Springer, New York, NY. https://doi.org/10.1007/1-4020-0611-X_80
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DOI: https://doi.org/10.1007/1-4020-0611-X_80
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Publisher Name: Springer, New York, NY
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