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Solving Reduced KKT Systems in Barrier Methods for Linear and Quadratic Programming

Solving Reduced KKT Systems in Barrier Methods for Linear and Quadratic Programming

Abstract : In barrier methods for constrained optimization, the main work lies in solving large linear systems Kp = r, where K is symmetric and indefinite. We have implemented reduced KKT systems in a primal-dual algorithm for linear programming, based on the sparse indefinite solver MA27 from the Harwell Subroutine …