An efficient algorithm for finding all solutions of separable systems of nonlinear equations |
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Authors: | Kiyotaka Yamamura Koki Suda |
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Affiliation: | (1) Department of Electrical, Electronic, and Communication Engineering, Chuo University, 1–13–27 Kasuga, Bunkyo-ku, Tokyo 112-8551, Japan |
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Abstract: | An efficient algorithm is proposed for finding all solutions of systems of nonlinear equations with separable mappings. This algorithm is based on interval analysis, the dual simplex method, the contraction method, and a special technique which makes the algorithm not require large memory space and not require copying tableaus. By numerical examples, it is shown that the proposed algorithm could find all solutions of a system of 2000 nonlinear equations in acceptable computation time. AMS subject classification (2000) 65H10, 65G10 |
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Keywords: | nonlinear equations interval analysis linear programming |
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