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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2018 Volume 58, Number 2, Pages 220–227 (Mi zvmmf10675)

This article is cited in 3 papers

Primal Newton method for the linear cone programming problem

V. G. Zhadan

Dorodnitsyn Computing Center, FRC “Computer Science and Control” of RAS, Moscow, Russia

Abstract: A linear cone programming problem containing among the constraints a second-order cone is considered. For solving this problem, a primal Newton method which is constructed with the help of the optimality conditions is proposed. Local convergence of this method is proven.

Key words: linear cone programming problem, second-order cone, primal Newton method.

UDC: 519.658

Received: 12.07.2017

DOI: 10.7868/S0044466918020072


 English version:
Computational Mathematics and Mathematical Physics, 2018, 58:2, 207–214

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© Steklov Math. Inst. of RAS, 2026