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A relaxation method for minimizing a smooth function on a generalized spherical segment

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Abstract

The minimization of a smooth functional on a generalized spherical segment of a finite-dimensional Euclidean space is examined. A relaxation method that involves successive projections of the antigradient onto auxiliary sets of a simpler structure is proposed. It is shown that, under certain natural assumptions, this method converges to a stationary point.

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Authors and Affiliations

  1. Kazan Typolev State Technological University, ul. Karla Marksa 10, Kazan, 420111, Tatarstan, Russia

    A. M. Dulliev

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  1. A. M. Dulliev
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Correspondence to A. M. Dulliev.

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Original Russian Text © A.M. Dulliev, 2014, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2014, Vol. 54, No. 2, pp. 208–223.

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Dulliev, A.M. A relaxation method for minimizing a smooth function on a generalized spherical segment. Comput. Math. and Math. Phys. 54, 219–234 (2014). https://doi.org/10.1134/S0965542514020043

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  • DOI: https://doi.org/10.1134/S0965542514020043

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