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Optimal methods of smooth convex minimization. (English. Russian original) Zbl 0591.90072

U.S.S.R. Comput. Math. Math. Phys. 25, No. 2, 21-30 (1985); translation from Zh. Vychisl. Mat. Mat. Fiz. 25, No. 3, 356-369 (1985).
Summary: Convergence-rate-optimal methods are constructed for minimizing a smooth convex function with respect to type \(L_ p\) Banach space, and the superposition of a convex scalar and convex vector-function with respect to a convex subset of Hilbert space.

MSC:

90C25 Convex programming
90C48 Programming in abstract spaces
65K05 Numerical mathematical programming methods
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