### Abstract

The minimization problem is considered when a convex closed set from some Hilbert space H is given and the functions are defined and Fresche differentiable over H. The problem is unstable to disturbances of initial data and the regularization methods should be applied to solving the problem. A regularization method based on the continuous variant of a linearization method of the second order is proposed and studied. It is assumed that instead of exact values of the functions and their gradients, the approximate values are known.

Original language | English (US) |
---|---|

Pages (from-to) | 5-12 |

Number of pages | 8 |

Journal | Vestnik Moskovskogo Universiteta. Ser. 15 Vychislitel'naya Matematika i Kibernetika |

Issue number | 2 |

State | Published - Apr 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*, (2), 5-12.

**Regularized continuous linearization method of the second order for the minimization problems with inexact initial data.** / Vasil'ev, F. P.; Nedich, Angelia; Yakimovich, M.

Research output: Contribution to journal › Article

*Vestnik Moskovskogo Universiteta. Ser. 15 Vychislitel'naya Matematika i Kibernetika*, no. 2, pp. 5-12.

}

TY - JOUR

T1 - Regularized continuous linearization method of the second order for the minimization problems with inexact initial data

AU - Vasil'ev, F. P.

AU - Nedich, Angelia

AU - Yakimovich, M.

PY - 1996/4

Y1 - 1996/4

N2 - The minimization problem is considered when a convex closed set from some Hilbert space H is given and the functions are defined and Fresche differentiable over H. The problem is unstable to disturbances of initial data and the regularization methods should be applied to solving the problem. A regularization method based on the continuous variant of a linearization method of the second order is proposed and studied. It is assumed that instead of exact values of the functions and their gradients, the approximate values are known.

AB - The minimization problem is considered when a convex closed set from some Hilbert space H is given and the functions are defined and Fresche differentiable over H. The problem is unstable to disturbances of initial data and the regularization methods should be applied to solving the problem. A regularization method based on the continuous variant of a linearization method of the second order is proposed and studied. It is assumed that instead of exact values of the functions and their gradients, the approximate values are known.

UR - http://www.scopus.com/inward/record.url?scp=0030112336&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030112336&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0030112336

SP - 5

EP - 12

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 - 2

ER -