### 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) |
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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 1 1996 |

Externally published | Yes |

### ASJC Scopus subject areas

- Software
- Hardware and Architecture
- Applied Mathematics

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## Cite this

Vasil'ev, F. P., Amochkina, T. V., & Nedich, A. (1996). On a regularized variant of the two-step projection-gradient method.

*Vestnik Moskovskogo Universiteta. Ser. 15 Vychislitel'naya Matematika i Kibernetika*, (1), 35-42.