We establish the convergence theories of the symmetric relaxation methods for the system of linear equations with symmetric positive definite coefficient matrix, and more generally, those of the ...

We propose a new decomposition method for large-scale linear programming. This method dualizes an (arbitrary) subset of the constraints and then maximizes the resulting dual functional by dual ascent.

Abstract: Unit commitment problems are operation optimization problems solved by independent system operators (ISOs). These problems generally need to be solved within a limited time, and the quality ...