Speciality:
05.08.03 (Designing of ships)
Birth date:
16.11.1949
E-mail: Keywords: linear algebra; numerical linear algebra; iterative methods for linear and non linear systems; eigenvalues, eigenvectors; mathematical programming; nonlinear programming mathematical programming.
Subject:
Conditions of numerical stability of the factorization method for solving linear systems were obtained. A generalized conjugate gradient method for solving linear and non linear systems was proposed and theoretically proved. The convergence some conjugate gradient method for extremal eigevalues of a matrix was investigated. Two-sided bound of minimal eigenvalue of positive-definite matrix in the presence of restrictions was obtained. The base point method for solving non linear programming problemes was propose.
Main publications:
Vychislitelnaya ustoichivost matrichnoi progonki // Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki, t. 17, # 2, M., Nauka, 1977.
Issledovanie skhodimosti odnogo obobschennogo metoda sopryazhennykh gradientov dlya opredeleniya ekstremalnykh sobstvennykh znachenii. Chislennye metody i voprosy organizatsii vychislenii // Zapiski nauchnykh seminarov LOMI, t. 111, L., Nauka, 1981.
Opredelenie ekstremalnykh sobstvennykh znachenii minimizatsiei funktsionalov spetsialnogo vida // Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki, # 2, M., Nauka, 1985.
Organizatsiya vychislenii pri reshenii zadach prakticheskoi optimizatsii. Chislennye metody i voprosy organizatsii vychislenii // Zapiski nauchnykh seminarov LOMI, t. 229, L., Nauka, 1995.
Dvustoronnyaya otsenka minimalnogo sobstvennogo znacheniya polozhitelno opredelennoi matritsy pri nalichii ogranichenii. Chislennye metody i voprosy organizatsii vychislenii: XIV // Zapiski nauchnykh seminarov POMI, t. 268, SPb., Nauka, 2000.
