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In this paper, we consider optimization of polynomials in a parallel computing environment. Algorithms for optimization of polynomials can be used to solve NP-hard control problems such as stability of nonlinear and delayed systems. Unfortunately, the high computational costs of current algorithms such as sum-of-squares has limited its use to relatively small problems. In this paper we review several...
A novel parallel predictor-corrector interior-point algorithm (P-PCIPA) is proposed. The algorithm uses technique of predictor-corrector to improve the centrality of the iterate point to reduce the number of iterations. Corrector equation, which has special structure, of our parallel algorithm for a class of large scale optimization problems has been presented. And this structured corrector equation...
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