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Global optimization approach to Malfatti’s problem

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Abstract

We examine Malfatti’s problem which dates back to 200 years ago from the view point of global optimization. The problem has been formulated as the convex maximization problem over a nonconvex set. Global optimality condition by Strekalovsky (Sov Math Dokl 292(5):1062–1066, 1987) has been applied to this problem. For solving numerically Malfatti’s problem, we propose the algorithm in Enkhbat (J Glob Optim 8:379–391, 1996) which converges globally. Some computational results are provided.

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Acknowledgments

We would like to thank the anonymous referees for their helpful comments and suggestions.

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  1. Institute of Mathematics of National University of Mongolia, Ulaanbaatar, Mongolia

    Rentsen Enkhbat

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  1. Rentsen Enkhbat
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Correspondence to Rentsen Enkhbat.

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Enkhbat, R. Global optimization approach to Malfatti’s problem. J Glob Optim 65, 33–39 (2016). https://doi.org/10.1007/s10898-015-0372-6

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  • DOI: https://doi.org/10.1007/s10898-015-0372-6

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