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.