On a regularized variant of the two-step projection-gradient method

F. P. Vasil'ev; T. V. Amochkina; A. Nedich

On a regularized variant of the two-step projection-gradient method

F. P. Vasil'ev, T. V. Amochkina, A. Nedich

Research output: Contribution to journal › Article › peer-review

Abstract

A regularization method based on the two-step projection-gradient method along with the penalty function method is suggested for solving the minimization problem with incorrectly given assumed data. The sufficient conditions of convergence are presented. A minimization problem is considered with a given convex closed set from some Hilbert space H and some functions defined and Fresche differentiable over H. The problem is unstable to disturbances of the assumed data and it should be solved using the regularization methods.

Original language	English (US)
Pages (from-to)	35-42
Number of pages	8
Journal	Vestnik Moskovskogo Universiteta. Ser. 15 Vychislitel'naya Matematika i Kibernetika
Issue number	1
State	Published - Jan 1996
Externally published	Yes

ASJC Scopus subject areas

Software
Hardware and Architecture
Applied Mathematics

Cite this

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AB - A regularization method based on the two-step projection-gradient method along with the penalty function method is suggested for solving the minimization problem with incorrectly given assumed data. The sufficient conditions of convergence are presented. A minimization problem is considered with a given convex closed set from some Hilbert space H and some functions defined and Fresche differentiable over H. The problem is unstable to disturbances of the assumed data and it should be solved using the regularization methods.

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JO - Vestnik Moskovskogo Universiteta. Ser. 15 Vychislitel'naya Matematika i Kibernetika

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On a regularized variant of the two-step projection-gradient method

Abstract

ASJC Scopus subject areas

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