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Titlebook: High Performance Algorithms and Software in Nonlinear Optimization; Renato Leone,Almerico Murli,Gerardo Toraldo Book 19981st edition Kluwe

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A New Forward Backward Auction Algorithm,roves the convergence of the known forward-backward auction algorithm is presented. Numerical examples are reported in order to show the effectiveness of the method. A possible parallel implementation of the algorithm is also proposed.
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Modifying the Cholesky Factorization on MIMD Distributed Memory Machines, on the field of nonlinear optimization. One of the possible ways to exploit parallelism is to build efficient parallel linear algebra kernels to be used in nonlinear optimization codes. This paper presents some design and computational experiences in modifying the Cholesky factorization of a dense
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Parallel Solution of Large Scale Quadratic Programs,ve at each iteration a linear complementarity problem. For the solution of this last problem we examine parallel iterative solvers based on splittings of the complementarity matrix. We report the numerical results obtained by solving with the proposed approach quadratic programs on Cray T3E.
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