### 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 1996 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Hardware and Architecture
- Software
- Applied Mathematics

### Cite this

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

**On a regularized variant of the two-step projection-gradient method.** / Vasil'ev, F. P.; Amochkina, T. V.; Nedich, Angelia.

Research output: Contribution to journal › Article

*Vestnik Moskovskogo Universiteta. Ser. 15 Vychislitel'naya Matematika i Kibernetika*, no. 1, pp. 35-42.

}

TY - JOUR

T1 - On a regularized variant of the two-step projection-gradient method

AU - Vasil'ev, F. P.

AU - Amochkina, T. V.

AU - Nedich, Angelia

PY - 1996/1

Y1 - 1996/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=0029677482&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0029677482&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0029677482

SP - 35

EP - 42

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

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

SN - 0137-0782

IS - 1

ER -