В.Д. Сулимов, П.М. Шкапов, А.В. Сулимов
66
ISSN 1812-3368. Вестник МГТУ им. Н.Э. Баумана. Сер. Естественные науки. 2016. № 5
[24] Gil C., Márques A., Baños R., Montoya M.G., Gómez J
.
A hybrid method for solving mul-
ti-objective global optimization problems.
Journal of Global Optimization
, 2007, vol. 38, no. 2,
pp. 265–281.
[25] Karmitsa N., Bagirov A., Mäkelä M.M. Comparing different nonsmooth minimization
methods and software.
Optimization Methods
&
Software
, 2012, vol. 27, no. 1, pp. 131–153.
[26] Chen X
.
Smoothing methods for nonsmooth, nonconvex minimization.
Mathematical
Programming
, 2012, vol. 134, no. 1, pp. 71–99.
[27] Hare W., Sagastizábal C., Solodov M. A proximal bundle method for nonsmooth noncon-
vex functions with inexact information.
Computational Optimization with Applications
, 2016,
vol. 63, no. 1, pp. 1–28.
[28] Sulimov V.D. Local smoothing approximation in hybrid algorithm of optimization
of hydromechanical systems.
Vestn. Mosk. Gos. Tekh. Univ. im. N.E. Baumana, Estestv. Nauki
[Herald of the Bauman Moscow State Tech. Univ., Nat. Sci.], 2010, no. 3, pp. 3–14 (in Russ.).
[29] Sulimov V.D., Shkapov P.M. Application of hybrid algorithms to computational diagnos-
tic problems for hydromechanical systems.
Journal of Mechanics Engineering and Automation
,
2012, vol. 2, no. 12, pp. 734–741.
[30] Sulimov V.D., Shkapov P.M. Hybrid methods of computer diagnosis of two-phase flow in
the circulation loop.
Matematicheskoe modelirovanie i chislennye metody
[Mathematical Mod-
eling and Numerical Methods], 2015, no. 3, pp. 68–88 (in Russ.).
DOI: 10.18698/2309-3684-2015-3-6888
Sulimov V.D.
— senior teacher of Theoretical Mechanics Department, Bauman Moscow State
Technical University (2-ya Baumanskaya ul. 5, Moscow, 105005 Russian Federation).
Shkapov
P.M.
— Dr. Sci. (Eng.), Professor, Head of Theoretical Mechanics Department,
Bauman Moscow State Technical University (2-ya Baumanskaya ul. 5, Moscow, 105005
Russian Federation).
Sulimov A.V.
— senior specialist, Lomonosov Moscow State University, Sevastopol Branch
(ul. Geroev Sevastopolya 7, Sevastopol, 299001 Russian Federation).
Please cite this article in English as:
Sulimov V.D., Shkapov P.M., Sulimov A.V. Optimization of Singular Values of Parameter De-
pendent Matrices using Hybrid Algorithms.
Vestn. Mosk. Gos. Tekh. Univ. im. N.E. Baumana,
Estestv. Nauki
[Herald of the Bauman Moscow State Tech. Univ., Nat. Sci.], 2016, no. 5,
pp. 46–66. DOI: 10.18698/1812-3368-2016-5-46-66