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Autor:
Marsden, Annie1 (AUTHOR) marsden@stanford.edu, Sharan, Vatsal2 (AUTHOR) vsharan@usc.edu, Sidford, Aaron1 (AUTHOR) sidford@stanford.edu, Valiant, Gregory1 (AUTHOR) valiant@stanford.edu
Publikováno v:
Journal of the ACM. Dec2024, Vol. 71 Issue 6, p1-37. 37p.
Publikováno v:
Computers & Mathematics with Applications. (6):130
Publikováno v:
Computers & Mathematics with Applications. (3):130
Publikováno v:
In Computers and Mathematics with Applications 1999 37(3):130-130
Publikováno v:
Cybernetics and Systems Analysis. 40:527-536
The relationships between arithmetical simulation of random processes, ergodic theory, and optimization are analyzed. Some new results are considered and their possible applications to optimization problems are described.
Publikováno v:
Cybernetics and Systems Analysis. 39:537-548
A brief survey of nondifferentiable optimization methods developed at the Institute of Cybernetics is presented: the subgradient method, the subgradient method with space dilatation in the subgradient direction, and the r-algorithm. Applications of n
Autor:
Naum Z. Shor
Publikováno v:
Cybernetics and Systems Analysis. 38:855-872
Monotone modifications of r-algorithms and their applications to solution of various optimization problems (special quadratic, max-cut, minimax) are considered. The computational experimental results are given.
Autor:
P. I. Stetsyuk, Naum Z. Shor
Publikováno v:
Journal of Global Optimization. 23:1-41
Many polynomial and discrete optimization problems can be reduced to multiextremal quadratic type models of nonlinear programming. For solving these problems one may use Lagrangian bounds in combination with branch and bound techniques. The Lagrangia
Autor:
Naum Z. Shor, Ivan V. Sergienko
Publikováno v:
Cybernetics and Systems Analysis. 36:57-74
The article is devoted to the 70th birthday of Academician V. S. Mikhalevich and presents a survey of his fruitful activity as scientist and science organizer.