On a regularized variant of the second order continuous projection-gradient method

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

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

A minimization problem is considered when a convex closed set U0 from some Hilbert space H is given and functions are defined and Fresche differentiable over H. The problem is unstable to disturbances of the assumed data and requires the regularization. A regularization method is proposed and studied. The method is based on a continuous variant of the second order projection-gradient method along with the method of penalty functions.

Original languageEnglish (US)
Pages (from-to)39-46
Number of pages8
JournalVestnik Moskovskogo Universiteta. Ser. 15 Vychislitel'naya Matematika i Kibernetika
Issue number3
StatePublished - Jul 1995
Externally publishedYes

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Gradient Projection Method
Gradient methods
Hilbert spaces
Penalty Function
Regularization Method
Closed set
Convex Sets
Minimization Problem
Differentiable
Regularization
Disturbance
Hilbert space
Unstable

ASJC Scopus subject areas

  • Hardware and Architecture
  • Software
  • Applied Mathematics

Cite this

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AU - Amochkina, T. V.

AU - Nedich, Angelia

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