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A globally convergent version of the method of moving asymptotes

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Abstract

The method of moving asymptotes (MMA) which is known to work excellently for solving structural optimization problems has one main disadvantage: convergence cannot be guaranteed and in practical use this fact sometimes leads to unsatisfactory results. In this paper we prove a global convergence theorem for a new method which consists iteratively of the solution of the known MMA-subproblem and a line search performed afterwards.

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  1. Mathematisches Institut, Universität Bayreuth, D-95440, Bayreuth, Germany

    C. Zillober

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  1. C. Zillober
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Zillober, C. A globally convergent version of the method of moving asymptotes. Structural Optimization 6, 166–174 (1993). https://doi.org/10.1007/BF01743509

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  • DOI: https://doi.org/10.1007/BF01743509

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