Junior staff scientist Ph.D., Mathematical

Ph.D. thesis - "Continuous minimization methods with variable metric”

Research activities:

Summary of scientific results.

A continuous projection gradient method of second order with variable metric has been proposed, the convergence theorem was proved. A continuous method of linearization in a space with variable metric was considered; its convergence was examined. Regularized variants of the projection gradient and linearization methods for problems with inaccurate input data were proposed, regularizing operator was constructed.

Selected publications:

• T.V. Amotchkina, A. S. Antipin, F.P. Vasiliev Regularized continuous minimization method with variable metric for problems with inaccurate input data// Vestnik MGU, S. 15, Comp. Math. And Math. Cyb., 1996, N 4, pp. 5-11.
• T.V. Amotchkina, A. S. Antipin, F.P. Vasiliev Continuous second order minimization method with variable metric. // J. Computational Mathematics and Mathematical Physics, 1997, N 10, pp. 1174-1182.
• T.V. Amotchkina Continuous linearization method of second order with variable metric // Vestnik MGU, S. 15, Comp. Math. And Math. Cyb., 1997, N 3, pp. 9-12.
• T.V. Amotchkina, A. S. Antipin, F.P. Vasiliev Continuous second order linearization method with variable metric for problems of convex programming // J. Computational Mathematics and Mathematical Physics, 1997, N 12, pp. 1-7.
• Number of publications – 15.

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