01.01.09 (Discrete mathematics and mathematical cybernetics)
Birth date:
07.12.1964
E-mail:
, , ,
Keywords:
Monte Carlo methods; random search methods; Markov processes; optimization; mathematical programming; stochastic programming; nonconvex programming; derivative–free methods; nonlinear programming.
Main publications:
Nekrutkin V. V., Tikhomirov A. S. Speed of convergence as a function of given accuracy for random search methods // Acta Applicandae Mathematicae. 1993. V. 33. P. 89–108.
A. S. Tikhomirov, “Lower bounds on the convergence rate of the Markov symmetric random search”, Zh. Vychisl. Mat. Mat. Fiz., 51:9 (2011), 1630–1644; Comput. Math. Math. Phys., 51:9 (2011), 1524–1538
A. S. Tikhomirov, “On the rate of convergence of the simulated annealing algorithm”, Zh. Vychisl. Mat. Mat. Fiz., 50:1 (2010), 24–37; Comput. Math. Math. Phys., 50:1 (2010), 19–31
A. S. Tikhomirov, “Mixed global and local search methods as optimization algorithms”, Zh. Vychisl. Mat. Mat. Fiz., 36:9 (1996), 50–59; Comput. Math. Math. Phys., 36:9 (1996), 1205–1212