# zbMATH — the first resource for mathematics

## Cybernetics and Systems Analysis

 Short Title: Cybern. Syst. Anal. Publisher: Springer US, New York, NY ISSN: 1060-0396; 1573-8337/e Online: http://link.springer.com/journal/volumesAndIssues/10559 Original: Kibernetika i Sistemnyĭ Analiz Predecessor: Cybernetics
 Documents Indexed: 2,946 Publications (since 1991) References Indexed: 2,491 Publications with 36,653 References.
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#### Latest Issues

 57, No. 4 (2021) 57, No. 3 (2021) 57, No. 2 (2021) 57, No. 1 (2021) 56, No. 6 (2020) 56, No. 5 (2020) 56, No. 4 (2020) 56, No. 3 (2020) 56, No. 2 (2020) 56, No. 1 (2020) 55, No. 6 (2019) 55, No. 5 (2019) 55, No. 4 (2019) 55, No. 3 (2019) 55, No. 2 (2019) 55, No. 1 (2019) 54, No. 6 (2018) 54, No. 5 (2018) 54, No. 4 (2018) 54, No. 3 (2018) 54, No. 2 (2018) 54, No. 1 (2018) 53, No. 6 (2017) 53, No. 5 (2017) 53, No. 4 (2017) 53, No. 3 (2017) 53, No. 2 (2017) 53, No. 1 (2017) 52, No. 6 (2016) 52, No. 5 (2016) 52, No. 4 (2016) 52, No. 3 (2016) 52, No. 2 (2016) 52, No. 1 (2016) 51, No. 6 (2015) 51, No. 5 (2015) 51, No. 4 (2015) 51, No. 3 (2015) 51, No. 2 (2015) 51, No. 1 (2015) 50, No. 6 (2014) 50, No. 5 (2014) 50, No. 4 (2014) 50, No. 3 (2014) 50, No. 2 (2014) 50, No. 1 (2014) 49, No. 6 (2013) 49, No. 5 (2013) 49, No. 4 (2013) 49, No. 3 (2013) 49, No. 2 (2013) 49, No. 1 (2013) 48, No. 6 (2012) 48, No. 5 (2012) 48, No. 4 (2012) 48, No. 3 (2012) 48, No. 2 (2012) 48, No. 1 (2012) 47, No. 6 (2011) 47, No. 5 (2011) 47, No. 4 (2011) 47, No. 3 (2011) 47, No. 2 (2011) 47, No. 1 (2011) 46, No. 6 (2010) 46, No. 5 (2010) 46, No. 4 (2010) 46, No. 3 (2010) 46, No. 2 (2010) 46, No. 1 (2010) 45, No. 6 (2009) 45, No. 5 (2009) 45, No. 4 (2009) 45, No. 3 (2009) 45, No. 2 (2009) 45, No. 1 (2009) 44, No. 6 (2008) 44, No. 5 (2008) 44, No. 4 (2008) 44, No. 3 (2008) 44, No. 2 (2008) 44, No. 1 (2008) 43, No. 6 (2007) 43, No. 5 (2007) 43, No. 4 (2007) 43, No. 3 (2007) 43, No. 2 (2007) 43, No. 1 (2007) 42, No. 6 (2006) 42, No. 5 (2006) 42, No. 4 (2006) 42, No. 3 (2006) 42, No. 2 (2006) 42, No. 1 (2006) 41, No. 6 (2005) 41, No. 5 (2005) 41, No. 4 (2005) 41, No. 3 (2005) 41, No. 2 (2005) 41, No. 1 (2005) ...and 78 more Volumes
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#### Authors

 131 Sergienko, Ivan Vasylyovych 40 Deineka, V. S. 39 Skopetsky, Vasyl V. 35 Chebotarev, Anatoli N. 34 Knopov, Pavel S. 31 Kryvyi, Serhiĭ L. 28 Kuznetsov, N. Yu. 27 Stoyan, V. A. 26 Anisimov, Anatoly V. 26 Gupal, Anatol M. 24 Bulavatskyĭ, Volodymyr M. 24 Kapitonova, Yu. V. 24 Lisovik, Leonid P. 24 Lyashko, Sergeĭ Ivanovich 24 Zadiraka, V. K. 23 Norkin, Vladimir I. 22 Emelichev, Vladimir Alekseevich 22 Yasinskij, V. K. 21 Kovalenko, Igor Mykolaĭovych 19 Dunaev, B. B. 19 Melikov, Agassi Z. 19 Provotar, A. I. 18 Chikriĭ, Arkadiĭ Alekseevich 18 Smol’yakov, Èduard Rimovich 17 Alekseychuk, Anton Nikolaevich 17 Ermoliev, Yuri M. 17 Mikhalevich, Mikhail V. 17 Zgurovsky, Mikhail Z. 16 Khimich, A. N. 16 Ostapenko, V. V. 16 Ponomarenko, Leonid A. 15 Galba, E. F. 15 Kirichenko, N. F. 15 Kotlyar, V. Yu. 15 Pshenichnyj, Boris N. 14 Khilenko, V. V. 14 Kirilyuk, Vitaly S. 14 Korolyuk, Volodymyr Semenovych 14 Mayko, Nataliya Valentynivna 14 Parasyuk, I. N. 14 Romm, Ya. E. 14 Rystsov, I. K. 14 Semenova, N. V. 14 Stoĭkova, L. S. 14 Voronin, A. N. 13 Koval’chuk, L. V. 13 Red’ko, V. N. 13 Yakovlev, Sergey V. 12 Koba, E. V. 12 Lebedeva, T. T. 12 Mikhailyuk, Victor A. 12 Rotshtein, A. P. 12 Shor, Naum Zuselevich 12 Stoyan, Yuriĭ Grygorovych 11 Doroshenko, A. E. 11 Gladky, A. V. 11 Iemets, Ol. O. 11 Kuntsevych, Vsevolod Mykhaĭlovych 11 Prikazchikov, Viktor G. 11 Sergienko, Tatyana I. 11 Sharifov, F. A. 11 Tsejtlin, G. E. 11 Yurchenko, I. V. 11 Yushchenko, E. L. 10 Akimenko, Vitalii V. 10 Babich, M. D. 10 Berezovskij, O. A. 10 Chabanyuk, Yaroslav M. 10 Jelfimova, L. D. 10 Korkhin, Arnold S. 10 Martsenyuk, Vasyl’ P. 10 Pankratova, Nataliya D. 10 Skobelev, Vladimir G. 10 Stetsyuk, Petro I. 10 Tatashev, Alexander Gennadjevich 10 Yasynsky, V. K. 9 Donets, Georg A. 9 Emets, O. A. 9 Letychevs’kyĭ, Oleksandr Adol’fovych 9 Levin, Vitaliĭ Il’ich 9 Malyk, Igor V. 9 Melnik, Valery S. 9 Molchanov, Igor N. 9 Nakonechny, A. G. 9 Norkin, B. V. 9 Petunin, Yuriĭ Ivanovich 9 Pizyur, Ya. V. 9 Romanova, Tatiana E. 9 Rudenko, O. G. 9 Selezov, Igor Timofeevich 9 Volkov, V. A. 8 Aida-Zade, Kamil Rajab 8 Barashko, A. S. 8 Bondarev, Borys Volodymyrovych 8 Burdyuk, V. Ya. 8 Diduk, N. N. 8 Glazunov, Mykola Mykhaĭlovych 8 Godlevsky, A. B. 8 Grebennik, Igor V. 8 Hnativ, L. O. ...and 2,090 more Authors
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#### Fields

 964 Computer science (68-XX) 607 Operations research, mathematical programming (90-XX) 378 Systems theory; control (93-XX) 317 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 298 Numerical analysis (65-XX) 272 Probability theory and stochastic processes (60-XX) 194 Calculus of variations and optimal control; optimization (49-XX) 189 Statistics (62-XX) 189 Information and communication theory, circuits (94-XX) 123 Partial differential equations (35-XX) 98 Biology and other natural sciences (92-XX) 95 Combinatorics (05-XX) 75 Ordinary differential equations (34-XX) 61 Mathematical logic and foundations (03-XX) 59 Linear and multilinear algebra; matrix theory (15-XX) 43 Mechanics of deformable solids (74-XX) 43 Fluid mechanics (76-XX) 34 Approximations and expansions (41-XX) 34 Operator theory (47-XX) 33 History and biography (01-XX) 32 Number theory (11-XX) 30 Real functions (26-XX) 25 Order, lattices, ordered algebraic structures (06-XX) 23 Geophysics (86-XX) 22 Convex and discrete geometry (52-XX) 20 Dynamical systems and ergodic theory (37-XX) 16 Optics, electromagnetic theory (78-XX) 15 Group theory and generalizations (20-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 15 Integral equations (45-XX) 11 Measure and integration (28-XX) 11 Functional analysis (46-XX) 9 Category theory; homological algebra (18-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 General algebraic systems (08-XX) 8 General topology (54-XX) 8 Quantum theory (81-XX) 7 Commutative algebra (13-XX) 7 Algebraic geometry (14-XX) 7 Mechanics of particles and systems (70-XX) 6 Field theory and polynomials (12-XX) 5 General and overarching topics; collections (00-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Integral transforms, operational calculus (44-XX) 4 Geometry (51-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Functions of a complex variable (30-XX) 3 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Relativity and gravitational theory (83-XX) 1 Associative rings and algebras (16-XX) 1 Potential theory (31-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Astronomy and astrophysics (85-XX)

#### Citations contained in zbMATH Open

1,424 Publications have been cited 4,016 times in 2,123 Documents Cited by Year
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2004
An extragradient algorithm for monotone variational inequalities. Zbl 1311.49024
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Convergence of the modified extragradient method for variational inequalities with non-Lipschitz operators. Zbl 1331.49010
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2015
Low-cost modification of Korpelevich’s methods for monotone equilibrium problems. Zbl 1297.49014
Lyashko, S. I.; Semenov, V. V.; Voitova, T. A.
2011
Stability and duality of nonconvex problems via augmented Lagrangian. Zbl 1033.90083
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2002
Stability of vector problems of integer optimization: relationship with the stability of sets of optimal and nonoptimal solutions. Zbl 1098.90066
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2005
Multivalued dynamics of solutions of an autonomous differential-operator inclusion with pseudomonotone nonlinearity. Zbl 1300.47084
Kasyanov, P. O.
2011
Generalized Mittag-Leffler matrix functions in game problems for evolutionary equations of fractional order. Zbl 1007.91010
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2000
Analytical representation of perturbations of pseudoinverse matrices. Zbl 0906.15003
Kirichenko, M. F.
1997
Calculating Gross Domestic product as a function of labor and capital. Zbl 1098.91090
Dunaev, B. B.
2004
Optimal control of an elliptic-parabolic system with conjugation conditions. Zbl 1124.49300
Sergienko, I. V.; Deineka, V. S.
2003
Modified $$r$$-algorithm to find the global minimum of polynomial functions. Zbl 0916.90248
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1997
Stability of discrete optimization problems. Zbl 0829.90118
Kozeratskaya, L. N.; Lebedeva, T. T.; Sergienko, I. V.
1993
Numerical systems analysis of multicomponent distributed systems. Zbl 1297.93076
Sergienko, I. V.; Deineka, V. S.
2013
Comparative analysis of different types of stability with respect to constraints of a vector integer-optimization problem. Zbl 1066.90118
Lebedeva, T. T.; Sergienko, T. I.
2004
Analytical representations of matrix and integral linear transformations. Zbl 0918.15002
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1998
Approach to functional specification of automaton systems. I. Zbl 0939.68709
Chebotarev, A. N.
1993
Maximal local classes of partial functions of infinite-valued logic. Zbl 0875.04003
Romov, B. A.
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Optimal pattern recognition procedures and their application. Zbl 1154.68499
Sergienko, I. V.; Gupal, A. M.
2007
Stability of discrete vector problems with the parametric principle of optimality. Zbl 1090.90170
Bukhtoyarov, S. E.; Emelichev, V. A.; Stepanishina, Yu. V.
2003
Stability of a vector integer quadratic programming problem with respect to vector criterion and constraints. Zbl 1119.90055
Lebedeva, T. T.; Sergienko, T. I.
2006
Macroeconomic governmental regulation and self-regulation of market equilibrium. Zbl 1119.91352
Dunaev, B. B.
2006
Antagonistic game with interval payoff functions. Zbl 1132.91329
Shashikhin, V. N.
2004
Different types of stability of vector integer optimization problem: General approach. Zbl 1143.90360
Lebedeva, T. T.; Sergienko, T. I.
2008
Upper bound on the number of complete maps. Zbl 0877.05003
Kovalenko, I. N.
1996
Estimation of the number of “good” permutations with applications to cryptography. Zbl 0962.68059
Cooper, C.; Gilchrist, R.; Kovalenko, I. N.; Novakovic, D.
1999
Mathematical modeling of interactions of primary geometric 3D objects. Zbl 1102.68684
Scheithauer, G.; Stoyan, Yu. G.; Romanova, T. Ye.
2005
Measuring unemployment and inflation as wages functions. Zbl 1124.91348
Dunaev, B. B.
2005
Proof of David Kendall’s conjecture concerning the shape of large random polygons. Zbl 0922.60022
Kovalenko, I. N.
1997
Method of resolving functions in the theory of conflict-controlled processes. Zbl 1311.91038
Chikrii, A. A.; Rappoport, I. S.
2012
Hybrid splitting methods for the system of operator inclusions with monotone operators. Zbl 1317.65128
Semenov, V. V.
2014
Existence of solutions in vector optimization problems. Zbl 1088.90538
Sergienko, I. V.; Lebedeva, T. T.; Semenova, N. V.
2000
Analytical method for solution of the game problem of soft landing for moving objects. Zbl 1003.93027
Albus, J.; Meystel, A.; Chikrii, A. A.; Belousov, A. A.; Kozlov, A. I.
2001
Problems on insurance of catastrophic risks. Zbl 1055.91047
Ermol’ev, Yu. M.; Ermol’eva, T. Yu.; McDonald, G.; Norkin, V. I.
2001
Perturbation bounds for the least squares problem. Zbl 0877.15005
Khimich, A. N.
1996
Rank of a finite automaton. Zbl 0875.68658
Rystsov, I. K.
1992
Monetary control of economic equilibrium. Zbl 1298.91109
Dunaev, B. B.
2012
A randomized method for solving discrete ill-posed problems. Zbl 1311.65043
Rachkovskij, D. A.; Revunova, E. G.
2012
A multivariate partition approach to optimization problems. Zbl 1033.90127
Huang, H. X.; Pardalos, P. M.
2002
Solution of the safe problem on (0,1)-matrices. Zbl 1054.15004
Donets, G. A.
2002
Solution of nonconvex nonsmooth stochastic optimization problems. Zbl 1066.90071
Ermoliev, Yu. M.; Norkin, V. I.
2003
Solving combined inverse problems for multicomponent parabolic distributed systems. Zbl 1153.35085
Sergienko, I. V.; Deineka, V. S.
2007
From Kalman-Mesarovic realization to a normal-hyperbolic linear model. Zbl 1202.93018
Daneev, A. V.; Rusanov, V. A.; Rusanov, M. V.
2005
Method of ordering the values of a linear function on a set of permutations. Zbl 1187.68335
Donets, G. A.; Kolechkina, L. N.
2009
Mathematical simulation of a dynamic game in the enterprise competition problem. Zbl 1132.91355
Konstantinov, R. V.; Polovinkin, E. S.
2004
Reliability analysis of computer solutions of systems of linear algebraic equations with approximate initial data. Zbl 1176.65049
Khimich, A. N.; Nikolaevskaya, E. A.
2008
Issues of algorithmics and Glushkov’s systems of algorithmic algebras. Zbl 0931.68054
Yushchenko, E. L.; Tseitlin, G. E.
1998
Finite transformers for construction of fractal curves. Zbl 0868.28004
Lisovik, L. P.
1994
Stability in vector optimization path problems. Zbl 0849.90103
Emelichev, V. A.; Kravtsov, M. K.
1995
Determining the number of fast and slow components in decomposition of arbitrarily large linear dynamical models. Zbl 0875.65054
Grishchenko, A. Z.; Khilenko, V. V.
1991
$$\alpha$$-concave functions and measures and their applications. Zbl 0875.90336
Norkin, V. I.; Roenko, N. V.
1991
Randomized projective methods for the construction of binary sparse vector representations. Zbl 1276.68144
Rachkovskij, D. A.; Misuno, I. S.; Slipchenko, S. V.
2012
Limiting representations of weighted pseudoinverse matrices with positive definite weights. Problem regularization. Zbl 1071.65046
Sergienko, I. V.; Galba, E. F.; Deineka, V. S.
2003
Algorithms of nondifferentiable optimization: development and application. Zbl 1103.90101
Shor, N. Z.; Zhurbenko, N. G.; Likhovid, A. P.; Stetsyuk, P. I.
2003
Heuristic methods for the analysis of a queueing system describing emergency medical service deployed along a highway. Zbl 1119.90306
Atkinson, J. B.; Kovalenko, I. N.; Kuznetsov, N. Yu.; Mikhalevich, K. V.
2006
Classification of applied methods of combinatorial optimization. Zbl 1188.90220
Sergienko, I. V.; Hulianytskyi, L. F.; Sirenko, S. I.
2009
Systems specification by basic protocols. Zbl 1103.68370
Letichevsky, A. Ad.; Kapitonova, Yu. V.; Volkov, V. A.; Letichevsky, A. A.; Baranov, S. N.; Kotlyarov, V. P.; Weigert, T.
2005
An approach to solving discrete vector optimization problems over a combinatorial set of permutations. Zbl 1143.90388
Semenova, N. V.; Kolechkina, L. N.; Nagirna, A. N.
2008
The method of artificial space dilation in problems of optimal packing of geometric objects. Zbl 1392.90099
Yakovlev, S. V.
2017
Money supply and interest rate in economics equilibrium. Zbl 1203.91187
Dunaev, B. B.
2010
Generalized mathematical model of the dynamics of consolidation processes with relaxation. Zbl 1162.68799
Bulavatsky, V. M.; Skopetskii, V. V.
2008
Extension of the automaton specification logical language and the synthesis problem. Zbl 0893.68099
Chebotarev, A. N.
1996
Consistency test for simple specifications of automaton systems. Zbl 0836.68067
Chebotarev, A. N.
1994
Methods for analysis of multi-channel queueing system with instantaneous and delayed feedbacks. Zbl 1338.90132
Koroliuk, V. S.; Melikov, A. Z.; Ponomarenko, L. A.; Rustamov, A. M.
2016
Mathematical modeling in the geoinformation problem of the dynamics of geomigration under space-time nonlocality. Zbl 1308.86002
Bulavatsky, V. M.; Krivonos, Yu. G.
2012
Mathematical modeling of the interaction of non-oriented convex polytopes. Zbl 1308.52010
Stoyan, Yu. G.; Chugay, A. M.
2012
Reducing two-stage probabilistic optimization problems with discrete distribution of random data to mixed-integer programming problems. Zbl 1308.90117
Norkin, V. I.; Kibzun, A. I.; Naumov, A. V.
2014
Estimation of the length of reset words for automata with simple idempotents. Zbl 0999.68115
Rystsov, I. K.
2000
Control game problems for quasilinear systems with Riemann-Liouville fractional derivatives. Zbl 1117.91012
Chikrii, A. A.; Èidelman, S. D.
2001
Pseudoinverse and projection matrices in problems of synthesis of functional transformers. Zbl 1102.68115
Kirichenko, N. F.; Krak, Yu. V.; Polishchuk, A. A.
2004
Algorithms for solving systems of linear Diophantine equations in integer domains. Zbl 1117.65046
Kryvyi, S. L.
2006
Problems of discrete optimization: challenges and main approaches to solve them. Zbl 1119.90001
Sergienko, I. V.; Shylo, V. P.
2006
System approach to mathematical modeling of filtration consolidation. Zbl 1122.68726
Bulavatskii, V. M.; Skopetskii, V. V.
2006
Macroeconomic model of reproduction. Zbl 1207.91042
Dunaev, B. B.
2005
A modification of the method of combinatorial truncation in optimization problems over vertex-located sets. Zbl 1188.90226
Yemets, O. A.; Yemets, Ye. M.
2009
Methods of computing weighted pseudoinverse matrices with singular weights. Zbl 0960.65042
Galba, E. F.; Molchanov, I. N.; Skopetskii, V. V.
1999
Representations and expansions of weighted pseudoinverse matrices, iterative methods, and problem regularization. II. singular weights. Zbl 1155.65030
Sergienko, I. V.; Galba, E. F.; Deineka, V. S.
2008
Integer cosine transforms for high-efficiency image and video coding. Zbl 1353.65141
Hnativ, L. O.
2016
Theory and software implementations of Shor’s $$r$$-algorithms. Zbl 1382.65181
Stetsyuk, P. I.
2017
A version of the mirror descent method to solve variational inequalities. Zbl 1384.49014
Semenov, V. V.
2017
Configuration space of geometric objects. Zbl 1420.55028
Stoyan, Y. G.; Yakovlev, S. V.
2018
General approach to estimating the complexity of postoptimality analysis for discrete optimization problems. Zbl 1208.90118
Mikhailyuk, V. A.
2010
Synthesis of a procedural representation of an automaton specified in the logical language $${\mathfrak L}^*$$. I. Zbl 0917.68143
Chebotarev, A. N.
1997
Construction of convex continuations for functions defined on a hypersphere. Zbl 0915.90224
Stoyan, Yu. G.; Yakovlev, S. V.; Emets, O. A.; Valuiskaya, O. A.
1998
Stochastic generalized gradient method for nonconvex nonsmooth stochastic optimization. Zbl 0930.90074
Ermol’ev, Yu. M.; Norkin, V. I.
1998
High-accuracy discretization algorithms for problems with discontinuous solutions. Zbl 0947.74070
Sergienko, I. V.; Deineka, V. S.; Skopetskii, V. V.
1998
Integral equations with constraints and their solution methods. Zbl 0878.45002
Luchka, A. Yu.
1996
$$r$$-algorithms and ellipsoids. Zbl 0945.65062
Stetsyuk, P. I.
1996
Regularization of integer vector optimization problems. Zbl 0829.90119
Kozeratskaya, L. N.; Lebedeva, T. T.; Sergienko, T. I.
1993
Efficiency of Bayesian classification procedure. Zbl 0902.62070
Gupal, A. M.; Pashko, S. V.; Sergienko, I. V.
1995
Monte-Carlo estimate of the probability of ruin in a compound Poisson model of risk theory. Zbl 0858.90011
Nakonechnyi, A. N.
1995
Interacting automata. Zbl 0875.68659
Chebotarev, A. N.
1991
Stock optimization in transportation/storage systems. Zbl 0875.90303
Melikov, A. Z.; Molchanov, A. A.
1992
A method for solving variational inequalities. Zbl 0875.49006
Pshenichnyj, B. N.; Kalzhanov, M. U.
1992
Investigation of call centers as retrial queuing systems. Zbl 1288.90014
Pustova, S. V.
2010
Formation of similarity-reflecting binary vectors with random binary projections. Zbl 1317.93233
Rachkovskij, D. A.
2015
A mathematical programming problem with the fuzzy set of indices of constraints. Zbl 1306.90191
Mashchenko, S. O.
2013
Problems of group pursuit with integral constraints on controls of the players. I. Zbl 1298.91045
Samatov, B. T.
2013
Mathematical modeling of three-dimensional fields of transverse dynamic displacements of thick elastic plates. Zbl 1305.74058
Stoyan, V. A.; Dvirnychuk, K. V.
2013
Existence and uniqueness theorems in the theory of weighted pseudoinverses with singular weights. Zbl 1298.65070
Sergienko, I. V.; Galba, Ye. F.; Deineka, V. S.
2011
Chebyshev approximation of functions of several variables. Zbl 1455.65030
Malachivskyy, P. S.; Pizyur, Ya. V.; Malachivskyi, R. P.; Ukhanska, O. M.
2020
Theory and methods of Euclidian combinatorial optimization: current status and prospects. Zbl 1458.90562
Stoyan, Y. G.; Yakovlev, S. V.
2020
Improvement of the signature-system method by applying priority features in the composition of the monitored object signatures to ensure maximum probability of correct recognition. Zbl 1458.94304
Iliashov, O.; Komarov, V.
2020
Modeling the control effects of the banking system on the functioning of the economy. I: Dynamics and adjustment of crisis situations. Zbl 1454.91339
Khilenko, V. V.
2020
Constructing integral mathematical models of two classes of nonlinear spatially distributed systems. II: The case of continuously defined external-dynamic perturbations. Zbl 1454.93099
Stoyan, V. A.
2020
A model of economy operation under currency market rate. Zbl 1454.91135
Dunaev, B. B.; Lyubich, A. A.
2020
Algorithms for fast implementation of 4-point integer sine type VII transforms without multiplication and separable directional adaptive transforms for intra prediction in image/video coding. Zbl 1458.94034
Hnativ, L. O.; Luts, V. K.
2020
Fuzzy probabilities of fuzzy events. Zbl 1454.93271
Provotar, O. I.; Provotar, O. O.
2020
Application of blockchain technologies for improving the quality of ACS of complex dynamic systems. Zbl 07284548
Khilenko, V. V.
2020
A method to solve conditional optimization problems with quadratic objective functions on the set of permutations. Zbl 1454.90073
Donets, G. P.; Koliechkina, L. M.; Nahirna, A. M.
2020
Mixed encoding of collections of microoperations for a microprogram finite-state machine. Zbl 1466.94072
Barkalov, A. A.; Titarenko, L. A.; Baiev, A. V.; Matviienko, A. V.
2020
Solutions of the combinatorial problem with a quadratic fractional objective function on the set of permutations. Zbl 1454.90077
Koliechkina, L.; Nahirna, A.
2020
Super-exponential rate of convergence of the Cayley transform method for an abstract differential equation. Zbl 1464.34085
Mayko, N. V.
2020
Checking the randomness of bits disposition in local segments of the $$(0, 1)$$-sequence. Zbl 1455.60023
Masol, V. I.; Popereshnyak, S. V.
2020
Analysis of neurosurgical pathologies using Bayesian recognition procedures for indicators of surface plasmon resonance in the aggregation of blood cells. Zbl 1454.62336
Gridina, N. Ya.; Gupal, A. M.; Tarasov, A. L.; Ushenin, Yu. V.
2020
Input-output productivity cost analysis of the economy of Ukraine: selected cross-countries and intertemporal comparison. Zbl 1454.91115
Yastremskii, O.
2020
Modeling the control effects of the banking system on the functioning of the economy. II: Selection and special features of application of optimization algorithms. Zbl 1454.91340
Khilenko, V. V.
2020
Generalized optimization of processes of drug transport in tumors. Zbl 1455.35268
Klyushin, D. A.; Lyashko, S. I.; Lyashko, N. I.; Bondar, O. S.; Tymoshenko, A. A.
2020
An approach to development of a mathematical model for determination of monitoring objects using informativeness of their monitoring indicators. Zbl 07285411
Iliashov, O.; Komarov, V.
2020
High-performance supercomputer technologies of simulation of nanoporous feedback systems for adsorption gas purification. Zbl 1454.93078
Petryk, M. R.; Boyko, I. V.; Khimich, O. M.; Petryk, M. M.
2020
Variational statements and discretization of the boundary-value problem of elasticity where stress at the boundary is known. Zbl 1454.74014
Vareniuk, N. A.; Galba, E. F.; Sergienko, I. V.
2020
Multi-objective optimization problem: stability against perturbations of input data in vector-valued criterion. Zbl 07285429
Lebedeva, T. T.; Semenova, N. V.; Sergienko, T. I.
2020
Formalizing spatial configuration optimization problems with the use of a special function class. Zbl 1461.90127
Yakovlev, S. V.
2019
Methods of linear algebra in the analysis of certain classes of nonlinear discretely transformative systems. I: Multiplicative nonlinear systems. Zbl 1420.93015
Stoyan, V. A.
2019
Methods of linear algebra in the analysis of certain classes of nonlinear discretely transformative systems. II: Systems with additively selected nonlinearity. Zbl 1420.93016
Stoyan, V. A.
2019
On the quasistability radius for a multicriteria integer linear programming problem of finding extremum solutions. Zbl 1451.90098
Emelichev, V.; Nikulin, Yu.
2019
Boundary effect in accuracy estimate of the grid method for solving fractional differential equations. Zbl 07096967
Makarov, V. L.; Mayko, N. V.
2019
Continuous model for the devastating oscillation dynamics of local forest pest populations in Canada. Zbl 1420.92099
Perevaryukha, A. Yu.
2019
Interbranch chessboard of uncertainty and its applications: forecasting, economic policy, fiscal risk, general equilibrium. Zbl 1422.91543
Yastremskii, O.
2019
Denisov, S. V.; Semenov, V. V.; Stetsyuk, P. I.
2019
Optimization of production income tax rate. Zbl 1422.91524
Dunaev, B. B.
2019
Expansions of weighted pseudoinverses with mixed weights into matrix power series and power products. Zbl 1428.15003
Galba, E. F.; Vareniuk, N. A.
2019
Constructing integral mathematical models of two classes of nonlinear spatially distributed systems. I: The case of discretely defined external-dynamic perturbations. Zbl 1430.93095
Stoyan, V. A.
2019
Problems of constructing intelligent systems. Knowledge representation. Zbl 07146137
Meytus, V. Yu.
2019
A new fast recursive matrix multiplication algorithm. Zbl 1432.65055
Jelfimova, L. D.
2019
Qualitative and quantitative analysis of weak solutions of energy-balance climate models. Zbl 1427.37066
Zgurovsky, M. Z.; Kas&rsquo;yanov, P. O.; Gorban&rsquo;, N. V.; Paliĭchuk, L. S.
2019
Optimizing the arrangement of lumped sources and measurement points of plate heating. Zbl 1427.74141
Aĭda-zade, K. R.; Hashimov, V. A.
2019
Supersingular twisted Edwards curves over prime fields. I: Supersingular twisted Edwards curves with $$j$$-invariants equal to zero and 123. Zbl 1443.11116
Bessalov, A. V.; Kovalchuk, L. V.
2019
Formation of a new conception and a paradigm of constructing cybersecurity systems. Zbl 07097091
Khilenko, V. V.
2019
Convergence of two-stage method with Bregman divergence for solving variational inequalities. Zbl 07097092
Nomirovskii, D. A.; Rublyov, B. V.; Semenov, V. V.
2019
Diffraction of elastic waves by a sphere in the semi-bounded region. Zbl 1454.74091
Selezov, Igor T.
2019
Estimating the structure of a discontinuous layer by tomographic methods. Zbl 1453.86035
Lytvyn, O. M.; Lytvyn, Î. O.; Dragun, V. V.
2019
Method for localizing the zeros of analytic functions based on the Krawczyk operator. Zbl 07097109
Semenov, V. Yu.; Semenova, E. V.
2019
Problem of mathematical data interpretation. I: Lumped-parameter systems. Zbl 1420.93005
Gubarev, V. F.
2019
Double merging of the phase space for stochastic differential equations with small additions in Poisson approximation conditions. Zbl 1426.60081
Samoilenko, I. V.; Nikitin, A. V.
2019
Factorization in problems of control and dynamics of lengthy systems. Zbl 07097121
Kaliukh, Yu. I.; Vusatiuk, A. Ye.
2019
Asymptotic behavior of extreme values of queue length in $$M/M/m$$ systems. Zbl 1420.90013
Dovhai, B. V.; Matsak, I. K.
2019
Method and algorithm for obtaining elements of the tensor of spatial derivatives of the magnetic induction vector in the problem of searching for magnetic anomalies. Zbl 07097128
Primin, M. A.; Nedayvoda, I. V.
2019
Detecting fictitious states in a $$\Sigma$$-automaton synthesized from its specification in the language LP. Zbl 1448.68261
Chebotarev, A. N.
2019
Upper bounds on the imbalance of discrete functions implemented by sequences of finite automata. Zbl 1434.68223
Alekseychuk, A. N.; Koniushok, S. M.; Poremskyi, M. V.
2019
Methods for finding a regularized solution when identifying linear multivariable multiconnected discrete systems. Zbl 1441.93054
Gubarev, V. F.; Romanenko, V. D.; Miliavskyi, Yu. L.
2019
Parallel computing technologies for solving optimization problems of geometric design. Zbl 1442.90184
Romanova, T. E.; Stetsyuk, P. I.; Chugay, A. M.; Shekhovtsov, S. B.
2019
Exact estimates for some linear functionals of unimodal distribution functions under incomplete information. Zbl 1436.60024
Stoikova, L. S.; Kovalchuk, L. V.
2019
Cyclic-retrial queuing systems with dispatching. Zbl 1436.90035
Koba, E. V.
2019
A fuzzy cognitive approach to ranking of factors affecting the reliability of man-machine systems. Zbl 1436.90037
Rotshtein, A.; Katielnikov, D.; Kashkanov, A.
2019
Polyhedral coherent risk measures and robust optimization. Zbl 1437.91135
Kirilyuk, V. S.
2019
Mathematical methods to find optimal control of oscillations of a hinged beam (deterministic case). Zbl 1460.49004
Zrazhevsky, G.; Golodnikov, A.; Uryasev, S.
2019
Configuration space of geometric objects. Zbl 1420.55028
Stoyan, Y. G.; Yakovlev, S. V.
2018
Combinatorial configurations in balance layout optimization problems. Zbl 1393.90102
Grebennik, I. V.; Kovalenko, A. A.; Romanova, T. E.; Urniaieva, Inna A.; Shekhovtsov, S. B.
2018
Solving the problem of dynamic adaptability of artificial intelligence systems that control dynamic technical objects. Zbl 07044058
Khilenko, V. V.; Strzelecki, R.; Kotuliak, I.
2018
Representing weighted pseudoinverse matrices with mixed weights in terms of other pseudoinverses. Zbl 1393.15006
Galba, E. F.; Vareniuk, N. A.
2018
Mathematical modeling of the effect of “splashing out” and optimization of management of banking and economic systems under globalization conditions. Zbl 1401.91396
Khilenko, V. V.
2018
Models of perishable queueing-inventory systems with server vacations. Zbl 1385.93008
Koroliuk, V. S.; Melikov, A. Z.; Ponomarenko, L. A.; Rustamov, A. M.
2018
Properties of combinatorial optimization problems over polyhedral-spherical sets. Zbl 1390.90489
Yakovlev, S. V.; Pichugina, O. S.
2018
Synthesis of zonal controls for a problem of heating with delay under nonseparated boundary conditions. Zbl 1384.93046
Guliyev, S. Z.
2018
A weighted error estimate for a finite-difference scheme of increased approximation order for a two-dimensional Poisson equation with allowance for the Dirichlet boundary condition. Zbl 1448.65194
Mayko, N. V.
2018
Index structures for fast similarity search for real-valued vectors. I. Zbl 1390.68249
Rachkovskij, D. A.
2018
Methods for computing weighted pseudoinverses and weighted normal pseudosolutions with singular weights. Zbl 1401.65029
Galba, E. F.; Sergienko, I. V.
2018
Problems of constructing intelligent systems. Levels of intelligence. Zbl 1401.68260
Meytus, V.
2018
Deflationary regulation of market equilibrium. Zbl 1404.91211
Dunaev, B. B.; Kirilenko, L. V.
2018
On $$(a,d)$$-distance anti-magic and 1-vertex bimagic vertex labelings of certain types of graphs. Zbl 1391.05223
Semeniuta, Marina F.
2018
Index structures for fast similarity search for real vectors. II. Zbl 1392.68176
Rachkovskij, D. A.
2018
Finding the maximum cut by the greedy algorithm. Zbl 1403.05151
Sharifov, F. A.
2018
Resolving-functions method for game problems of control with integral constraints. Zbl 1419.91113
Rappoport, J. S.
2018
Optimal control of drug delivery from microneedle systems. Zbl 1401.49058
Lyashko, S. I.; Klyushin, D. A.; Onotskyi, V. V.; Lyashko, N. I.
2018
Method for structuring the Fourier discrete cosine transform in the modular arithmetic of the Haar-Krestenson number-theoretic basis. Zbl 1401.65158
Nykolaichuk, Ya. M.; Vozna, N. Ya.; Krulikovskyi, B. B.; Pikh, V. Ya.
2018
Some problems of analysis of hybrid automata. Zbl 1445.68127
Skobelev, V. V.; Skobelev, V. G.
2018
Synthesis of $$\Sigma$$-automata specified in the first order logical languages LP and LF. Zbl 1400.68122
Chebotarev, A. N.
2018
Two approaches to modeling and solving the packing problem for convex polytopes. Zbl 1421.52013
Stoian, Y. E.; Chugay, A. M.; Pankratov, A. V.; Romanova, T. E.
2018
On the possibility of multi-wavelength identification of defects in piles. Zbl 1465.74100
Trofymchuk, O. M.; Kaliukh, Yu. I.; Dunin, V. A.; Berchun, Y. A.
2018
The finite-difference scheme of higher order of accuracy for the two-dimensional Poisson equation in a rectangle with regard for the effect of the Dirichlet boundary condition. Zbl 1404.65217
Mayko, N. V.
2018
Piecewise polynomial algorithms for the analysis of processes in inhomogeneous media. Zbl 06969974
Bilenko, V. I.; Bozhonok, K. V.; Dzyadyk, S. Yu.; Stelya, O. B.
2018
Affine automata and classical fractals. Zbl 06861242
Rystsov, I. K.
2018
Methodical aspects of substantiating the staff of the armed forces of a state from the standpoint of the theory of prevented damage. Zbl 1384.93141
Mozharovski, V. M.; Hodz&rsquo;, S. V.
2018
Structurally determined inequality constraints on correlations in the cycle of linear dependencies. Zbl 1393.93112
Balabanov, O. S.
2018
Numerical simulation of fractional-differential filtration-consolidation dynamics within the framework of models with non-singular kernel. Zbl 1393.93018
Bulavatsky, V. M.; Bohaienko, V. O.
2018
Asymptotic dissipativity of random processes with impulse perturbation in the Poisson approximation scheme. Zbl 1393.93117
Samoilenko, I. V.; Chabanyuk, Yaroslav M.; Nikitin, A. V.
2018
Dynamic risk control in multidimensional Markov models. Zbl 1393.93146
Voina, O. A.; Voyna, Andrey O.
2018
Optimal placement of multi-sensor system for threat detection. Zbl 1393.93025
Pashko, S. V.
2018
Partitioning a set of vectors with nonnegative integer coordinates using logical hardware. Zbl 1393.93019
Kryvyi, S. L.; Opanasenko, V. M.
2018
Models of the optimal resource allocation for the critical infrastructure protection. Zbl 1419.91397
Norkin, V. I.; Gaivoronski, A. A.; Zaslavsky, V. A.; Knopov, P. S.
2018
Market appraisal and accounting of the cost of production capital. Zbl 1419.91504
Dunaev, B. B.; Kirilenko, L. V.
2018
Designing an IT infrastructure. Zbl 1407.68049
Kryvyi, S. L.; Pogorilyy, S. D.; Glybovets, M. M.; Boyko, Y. V.; Sydorova, N.
2018
Polyhedral coherent risk measures in the case of imprecise scenario estimates. Zbl 1401.93195
Kirilyuk, V. S.
2018
Constructing a switching regression with unknown switching points. Zbl 1401.62109
Korkhin, A. S.
2018
The generalized ellipsoid method. Zbl 1401.90162
Stetsyuk, P. I.; Fesiuk, O. V.; Khomyak, O. N.
2018
Multicriteria decision making based on a set of optimization methods. Zbl 1417.91171
Potiomkin, M. M.; Svida, I. Y.
2018
The method of artificial space dilation in problems of optimal packing of geometric objects. Zbl 1392.90099
Yakovlev, S. V.
2017
Theory and software implementations of Shor’s $$r$$-algorithms. Zbl 1382.65181
Stetsyuk, P. I.
2017
A version of the mirror descent method to solve variational inequalities. Zbl 1384.49014
Semenov, V. V.
2017
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#### Cited by 2,129 Authors

 87 Sergienko, Ivan Vasylyovych 34 Emelichev, Vladimir Alekseevich 30 Chebotarev, Anatoli N. 29 Deineka, V. S. 24 Bulavatskyĭ, Volodymyr M. 20 Stoyan, V. A. 19 Kasyanov, Pavlo O. 19 Melikov, Agassi Z. 18 Dunaev, B. B. 18 Gupal, Anatol M. 18 Kryvyi, Serhiĭ L. 18 Skopetsky, Vasyl V. 18 Smol’yakov, Èduard Rimovich 17 Knopov, Pavel S. 17 Kuznetsov, N. Yu. 16 Dương Việt Thông 15 Chikriĭ, Arkadiĭ Alekseevich 15 Dang Van Hieu 15 Norkin, Vladimir I. 14 Stoyan, Yuriĭ Grygorovych 13 Galba, E. F. 13 Lisovik, Leonid P. 13 Ponomarenko, Leonid A. 12 Anisimov, Anatoly V. 12 Kuzmin, Kirill G. 12 Mayko, Nataliya Valentynivna 12 Semenova, N. V. 12 Voronin, A. N. 11 Akimenko, Vitalii V. 11 Khilenko, V. V. 11 Khimich, A. N. 11 Kovalenko, Igor Mykolaĭovych 11 Romanova, Tatiana E. 11 Romm, Ya. E. 11 Shehu, Yekini 10 Chabanyuk, Yaroslav M. 10 Dong, Qiaoli 10 Dshalalow, Jewgeni H. 10 Iemets, Ol. O. 10 Jelfimova, L. D. 10 Lyashko, Sergeĭ Ivanovich 10 Mikhalevich, Mikhail V. 10 Parasyuk, I. N. 10 Rotshtein, A. P. 10 Rusanov, Vyacheslav Anatolievich 10 Yasinskij, V. K. 10 Zadiraka, V. K. 9 Alekseychuk, Anton Nikolaevich 9 Chentsov, Aleksandr Georgievich 9 Ermoliev, Yuri M. 9 Gorban, Nataliia V. 9 Kapustyan, Oleksiy V. 9 Kasimbeyli, Refail 9 Kirichenko, N. F. 9 Kirilyuk, Vitaly S. 9 Korolyuk, Volodymyr Semenovych 9 Malyk, Igor V. 9 Provotar, A. I. 9 Skobelev, Vladimir G. 9 Stetsyuk, Petro I. 9 Yakovlev, Sergey V. 8 Doroshenko, A. E. 8 Gladky, A. V. 8 Hnativ, L. O. 8 Ibragimov, Gafurjan I. 8 Kibzun, Andrey Ivanovich 8 Koval’chuk, L. V. 8 Lebedeva, T. T. 8 Lukashiv, Taras O. 8 Mikhailyuk, Victor A. 8 Norkin, B. V. 8 Prusov, Vitaliy A. 8 Yurchenko, I. V. 8 Zgurovsky, Mikhail Z. 7 Chugay, Andrey M. 7 Grebennik, Igor V. 7 Iyiola, Olaniyi Samuel 7 Küçük, Mahide 7 Küçük, Yalçın 7 Lyashko, N. I. 7 Mashchenko, Sergiĭ Olegovych 7 Nikitin, Anatolii V. 7 Petrov, Nikolaĭ Nikandrovich 7 Red’ko, V. N. 7 Rystsov, I. K. 7 Sergienko, Tatyana I. 7 Shylo, Vladimir P. 7 Tsejtlin, G. E. 7 Yasynsky, V. K. 7 Yushchenko, E. L. 6 Aida-Zade, Kamil Rajab 6 Berezovskij, O. A. 6 Diduk, N. N. 6 Donets, Georg A. 6 Hao, Jin-Kao 6 Hritonenko, Natali 6 Kapitonova, Yu. V. 6 Kiseleva, Eh. M. 6 Koba, E. V. 6 Koshlai, Ludmilla B. ...and 2,029 more Authors
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#### Cited in 269 Journals

 1,326 Cybernetics and Systems Analysis 29 Automation and Remote Control 22 European Journal of Operational Research 21 Journal of Optimization Theory and Applications 20 Optimization 19 Journal of Mathematical Sciences (New York) 18 Journal of Computer and Systems Sciences International 16 Journal of Global Optimization 13 Numerical Algorithms 13 Optimization Letters 12 Journal of Computational and Applied Mathematics 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Theoretical Computer Science 10 Annals of Operations Research 10 Discrete Mathematics and Applications 8 Journal of Mathematical Analysis and Applications 8 Computers & Operations Research 8 Russian Mathematics 8 Fractional Calculus & Applied Analysis 8 Discrete and Continuous Dynamical Systems. Series B 8 Journal of Industrial and Management Optimization 8 Prikladnaya Diskretnaya Matematika 7 Ukrainian Mathematical Journal 7 Applied Mathematics and Computation 7 Numerical Functional Analysis and Optimization 7 Applied Mathematical Modelling 7 Theory of Probability and Mathematical Statistics 7 Doklady Mathematics 7 Proceedings of the Steklov Institute of Mathematics 6 Discrete Applied Mathematics 6 Mathematical Notes 6 Fuzzy Sets and Systems 6 Mathematical Programming. Series A. Series B 6 Computational and Applied Mathematics 6 Mathematical Problems in Engineering 6 Mathematical Methods of Operations Research 6 Differential Equations 5 Computers & Mathematics with Applications 5 Discrete Mathematics 5 International Journal of Foundations of Computer Science 5 Nonlinear Oscillations 4 Prikladnaya Matematika i Mekhanika 4 Automatica 4 Programming and Computer Software 4 SIAM Journal on Optimization 4 Computational Optimization and Applications 4 Top 4 Optimization Methods & Software 4 Advances in Difference Equations 4 Diskretnyĭ Analiz i Issledovanie Operatsiĭ 4 Dynamic Games and Applications 3 Applicable Analysis 3 Information Processing Letters 3 Mathematics and Computers in Simulation 3 Mathematical and Computer Modelling 3 Queueing Systems 3 Computational Mathematics and Mathematical Physics 3 International Journal of Computer Mathematics 3 SIAM Journal on Mathematical Analysis 3 Abstract and Applied Analysis 3 Journal of Combinatorial Optimization 3 Matematychni Studiï 3 Chebyshevskiĭ Sbornik 3 Journal of Fixed Point Theory and Applications 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Ural Mathematical Journal 2 Advances in Applied Probability 2 International Journal of Control 2 Journal of Computational Physics 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Chaos, Solitons and Fractals 2 The Annals of Probability 2 Calcolo 2 Demonstratio Mathematica 2 Information Sciences 2 Journal of Combinatorial Theory. Series A 2 Journal of Differential Equations 2 Opsearch 2 Results in Mathematics 2 Semigroup Forum 2 Cybernetics 2 Operations Research Letters 2 Stochastic Analysis and Applications 2 Journal of Automated Reasoning 2 Journal of Scientific Computing 2 Computational Mathematics and Modeling 2 Machine Learning 2 International Journal of Algebra and Computation 2 Designs, Codes and Cryptography 2 Journal of Algebraic Combinatorics 2 Turkish Journal of Mathematics 2 Advances in Applied Clifford Algebras 2 Random Operators and Stochastic Equations 2 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica 2 Computer Science Journal of Moldova 2 International Transactions in Operational Research 2 Journal of Applied Mechanics and Technical Physics 2 Optimization and Engineering 2 Lobachevskii Journal of Mathematics 2 Computational Methods in Applied Mathematics ...and 169 more Journals
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#### Cited in 56 Fields

 556 Operations research, mathematical programming (90-XX) 507 Computer science (68-XX) 289 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 270 Systems theory; control (93-XX) 264 Numerical analysis (65-XX) 212 Calculus of variations and optimal control; optimization (49-XX) 204 Probability theory and stochastic processes (60-XX) 119 Partial differential equations (35-XX) 114 Statistics (62-XX) 105 Information and communication theory, circuits (94-XX) 84 Operator theory (47-XX) 75 Combinatorics (05-XX) 73 Ordinary differential equations (34-XX) 71 Biology and other natural sciences (92-XX) 44 Fluid mechanics (76-XX) 41 Mathematical logic and foundations (03-XX) 40 Linear and multilinear algebra; matrix theory (15-XX) 36 Real functions (26-XX) 32 Mechanics of deformable solids (74-XX) 28 Convex and discrete geometry (52-XX) 24 Dynamical systems and ergodic theory (37-XX) 23 Geophysics (86-XX) 20 Number theory (11-XX) 19 Approximations and expansions (41-XX) 17 History and biography (01-XX) 17 Integral equations (45-XX) 16 Group theory and generalizations (20-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 12 Order, lattices, ordered algebraic structures (06-XX) 10 Measure and integration (28-XX) 10 Functional analysis (46-XX) 10 General topology (54-XX) 9 General and overarching topics; collections (00-XX) 9 Algebraic geometry (14-XX) 9 Classical thermodynamics, heat transfer (80-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Special functions (33-XX) 8 Quantum theory (81-XX) 6 Field theory and polynomials (12-XX) 6 Commutative algebra (13-XX) 6 Difference and functional equations (39-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 General algebraic systems (08-XX) 5 Optics, electromagnetic theory (78-XX) 4 Category theory; homological algebra (18-XX) 4 Mechanics of particles and systems (70-XX) 3 Associative rings and algebras (16-XX) 3 Abstract harmonic analysis (43-XX) 3 Integral transforms, operational calculus (44-XX) 2 Geometry (51-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Astronomy and astrophysics (85-XX)