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An efficient algorithm for solving inequalities

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Abstract

An efficient algorithm for solving a finite system of inequalities in a finite number of iterations is described and analyzed.

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References

  1. Polak, E.,Computational Methods in Optimization, Academic Press, New York, New York, 1971.

    Google Scholar 

  2. Polak, E., andMayne, D. Q.,On the Finite Solution of Nonlinear Inequalities, IEEE Transactions on Automatic Control, Vol. AC-24, pp. 443–444, 1979.

    Google Scholar 

  3. Mayne, D. Q., Polak, E., andHeunis, A. J.,Solving Nonlinear Inequalities in a Finite Number of Iterations, Journal of Optimization Theory and Applications, Vol. 33, pp. 207–222, 1981.

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  4. Garcia-Palomares, U. M., andRestuccia, A.,A Global Quadratic Algorithm for Solving a System of Mixed Equalities and Inequalities, Mathematical Programming, Vol. 21, pp. 290–300, 1981.

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  5. Garcia-Palomares, U. M.,Superlinearly Convergent Algorithms for Linearly Constrained Optimization, Nonlinear Programming 2, Edited by O. L. Mangasarian, Academic Press, New York, New York, pp. 101–120, 1975.

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This work was supported by the UK Science and Engineering Research Council

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Mayne, D.Q., Sahba, M. An efficient algorithm for solving inequalities. J Optim Theory Appl 45, 407–423 (1985). https://doi.org/10.1007/BF00938444

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