Edit Profile (opens in new tab) Lakeyev, Anatoliĭ Valentinovich Co-Author Distance Author ID: lakeyev.anatolii-valentinovich Published as: Lakeev, A. V.; Lakeyev, A. V.; Lakeyev, Anatoly V.; Lakeyev, Anatoly; Lakeyev, A. more...less External Links: ResearchGate · Math-Net.Ru · dblp Documents Indexed: 43 Publications since 1984, including 1 Book and 1 Additional arXiv Preprint Co-Authors: 29 Co-Authors with 36 Joint Publications 627 Co-Co-Authors all top 5 Co-Authors 7 single-authored 21 Rusanov, Vyacheslav Anatolievich 17 Linke, Yuriĭ Èrnievich 8 Daneev, Aleksey Vasilyevich 7 Kreinovich, Vladik Yakovlevich 4 Noskov, Sergey I. 3 Vasilev, Stanislav Nikolaevich 2 Banshchikov, Andreĭ Valentinovich 2 Kuznetsov, P. K. 2 Rohn, Jiri 1 Aksenov, Yu. D. 1 Bang, Nguen Dik 1 Bulatov, Mikhail Valer’yanovich 1 Chistyakova, Elena Viktorovna 1 Daneev, R. A. 1 Diep, Nguen Khak 1 Heindl, Gerhard 1 Kahl, Patrick Thor 1 Keller, Alevtina Viktorovna 1 Kosov, Aleksandr Arkad’evich 1 Levin, Anatoliĭ Alekseevich 1 Manakova, Natal’ya Aleksandrovna 1 Moskalenko, A. I. 1 Rudykh, Gennady Alekseevich 1 Semenov, Edward Ivanovich 1 Sharaya, Irene Aleksandrovna 1 Sizykh, V. N. 1 Solovarova, Lyubov’ Stepanovna 1 Sumenkov, E. A. 1 Voronov, Vsevolod Aleksandrovich all top 5 Serials 8 Advances in Differential Equations and Control Processes 5 Doklady Mathematics 4 Reliable Computing 3 Vychislitel’nye Tekhnologii 3 Differential Equations 2 Russian Mathematics 2 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 1 Siberian Mathematical Journal 1 Linear Algebra and its Applications 1 Cybernetics and Systems Analysis 1 Journal of Computer and Systems Sciences International 1 Russian Academy of Sciences. Doklady. Mathematics 1 Interval Computations 1 Far East Journal of Mathematical Sciences 1 Far East Journal of Dynamical Systems 1 Applied Optimization 1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie all top 5 Fields 22 Systems theory; control (93-XX) 15 Numerical analysis (65-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 200 times in 132 Documents Cited by ▼ Year ▼ Computational complexity and feasibility of data processing and interval computations. Zbl 0945.68077 Kreinovich, V.; Lakeyev, A.; Rohn, Jiří; Kahl, Patrick 91 1998 Optimal solution of interval linear systems is intractable (NP-hard). Zbl 0829.65032 Kreinovich, Vladik; Lakeyev, Anatoly V.; Noskov, Sergey I. 15 1993 On the differential realization theory of non-linear dynamic processes in Hilbert space. Zbl 1329.93045 Rusanov, V. A.; Daneev, A. V.; Lakeev, A. V.; Linke, Yu. É. 10 2015 Solvability of differential realization of minimum dynamic order for a family of nonlinear input-output processes in Hilbert space. Zbl 1316.93033 Rusanov, V. A.; Lakeev, A. V.; Linke, Yu. E. 9 2015 Existence of a differential realization of a dynamical system in a Banach space in the constructions of extensions to \(M_p\)-operators. Zbl 1267.93033 Rusanov, V. A.; Lakeev, A. V.; Linke, Yu. É. 9 2013 Realization of a polylinear controller as a second-order differential system in a Hilbert space. Zbl 1376.93031 Lakeyev, A. V.; Linke, Yu. E.; Rusanov, V. A. 7 2017 On solvability of the identification-inverse problem for operator-functions of a nonlinear regulator of a nonstationary hyperbolic system. Zbl 1347.93081 Rusanov, V. A.; Daneev, A. V.; Lakeev, A. V.; Linke, Yu. É. 7 2015 On the solution set of a linear equation with the right-hand side and operator given by intervals. Zbl 0852.65026 Lakeev, A. V.; Noskov, S. I. 7 1994 Higher-order differential realization of polylinear-controlled dynamic processes in a Hilbert space. Zbl 1428.93033 Rusanov, V. A.; Daneev, A. V.; Lakeyev, A. V.; Sizykh, V. N. 5 2018 Maximum entropy principle in the differential second-order realization of a non-stationary bilinear system. Zbl 1508.93151 Rusanov, V. A.; Banshchikov, A. V.; Daneev, A. V.; Lakeyev, A. V. 5 2019 NP-hard classes of linear algebraic systems with uncertainties. Zbl 0884.65032 Lakeyev, Anatoly V.; Kreinovich, Vladik 4 1997 Computational complexity of interval algebraic problems: Some are feasible and some are computationally intractable – a survey. Zbl 0849.65023 Kreinovich, Vladik; Lakeyev, Anatoly; Rohn, Jiří 4 1996 Solving linear interval systems is NP-hard even if we exclude overflow and underflow. Zbl 0920.65012 Heindl, Gerhard; Kreinovich, Vladik; Lakeyev, Anatoly V. 3 1998 To the structure identification of a nonlinear regulator for a nonstationary hyperbolic system. Zbl 1515.35352 Lakeyev, A. V.; Linke, Yurij É.; Rusanov, V. A. 3 2016 A description of the set of solutions of a linear equation with interval defined operator and right-hand side. Zbl 0817.15002 Lakeev, A. V.; Noskov, S. I. 3 1993 Approximate linear algebra is intractable. Zbl 0846.65015 Kreinovich, V.; Lakeyev, A. V.; Noskov, S. I. 3 1996 A differential realization of an input-output autonomous nonlinear system of minimal dynamic order in a Hilbert space. Zbl 1283.93074 Rusanov, V. A.; Lakeev, A. V.; Linke, Yu. È. 2 2013 On the differential realization of a second-order bilinear system in a Hilbert space. Zbl 1438.93030 Lakeev, A. V.; Linke, Yu. È.; Rusanov, V. A. 2 2019 Metric properties of the Rayleigh-Ritz operator. Zbl 1523.93002 Lakeev, A. V.; Linke, Yu. È.; Rusanov, V. A. 2 2022 Semiadditivity of the entropy Rayleigh-Ritz operator in the problem of realization of an invariant polylinear regulator of a non-stationary hyperbolic system. Zbl 1499.93038 Rusanov, V. A.; Lakeyev, A. V.; Daneev, A. V.; Linke, Yu. É. 2 2022 Existence and uniqueness of algebraic solutions to interval linear systems in the Kaucher complete interval arithmetic. Zbl 0934.65041 Lakeev, A. V. 1 1999 Extension in the Hilbert space of the differential realization of a countable set of nonlinear “input-output” processes. Zbl 1322.93056 Rusanov, V. A.; Lakeyev, A. V.; Linke, Yu. É. 1 2015 On realization of dynamic systems: assessment of fiducial accuracy in the process of adjustment of the realization matrix. Zbl 1376.37052 Rusanov, V. A.; Lakeev, A. V.; Linke, Y. É.; Voronov, V. A. 1 2014 On the computational complexity of the solution of linear systems with moduli. Zbl 0853.65040 Lakeyev, Anatoly V. 1 1996 A characteristic feature of realizability of nonstationary differential systems in Banach spaces. Zbl 1244.93074 Rusanov, V. A.; Lakeev, A. V.; Linke, Yu. E. 1 2011 Differential realization of second-order bilinear system: a functional-geometric approach. Zbl 1429.93061 Rusanov, V. A.; Daneev, R. A.; Lakeyev, A. V.; Linke, Yu. É. 1 2018 Linear interval equations: Computing enclosures with bounded relative or absolute overestimation is NP-hard. Zbl 0871.65022 Kreinovich, Vladik; Lakeyev, Anatoly V. 1 1996 Metric properties of the Rayleigh-Ritz operator. Zbl 1523.93002 Lakeev, A. V.; Linke, Yu. È.; Rusanov, V. A. 2 2022 Semiadditivity of the entropy Rayleigh-Ritz operator in the problem of realization of an invariant polylinear regulator of a non-stationary hyperbolic system. Zbl 1499.93038 Rusanov, V. A.; Lakeyev, A. V.; Daneev, A. V.; Linke, Yu. É. 2 2022 Maximum entropy principle in the differential second-order realization of a non-stationary bilinear system. Zbl 1508.93151 Rusanov, V. A.; Banshchikov, A. V.; Daneev, A. V.; Lakeyev, A. V. 5 2019 On the differential realization of a second-order bilinear system in a Hilbert space. Zbl 1438.93030 Lakeev, A. V.; Linke, Yu. È.; Rusanov, V. A. 2 2019 Higher-order differential realization of polylinear-controlled dynamic processes in a Hilbert space. Zbl 1428.93033 Rusanov, V. A.; Daneev, A. V.; Lakeyev, A. V.; Sizykh, V. N. 5 2018 Differential realization of second-order bilinear system: a functional-geometric approach. Zbl 1429.93061 Rusanov, V. A.; Daneev, R. A.; Lakeyev, A. V.; Linke, Yu. É. 1 2018 Realization of a polylinear controller as a second-order differential system in a Hilbert space. Zbl 1376.93031 Lakeyev, A. V.; Linke, Yu. E.; Rusanov, V. A. 7 2017 To the structure identification of a nonlinear regulator for a nonstationary hyperbolic system. Zbl 1515.35352 Lakeyev, A. V.; Linke, Yurij É.; Rusanov, V. A. 3 2016 On the differential realization theory of non-linear dynamic processes in Hilbert space. Zbl 1329.93045 Rusanov, V. A.; Daneev, A. V.; Lakeev, A. V.; Linke, Yu. É. 10 2015 Solvability of differential realization of minimum dynamic order for a family of nonlinear input-output processes in Hilbert space. Zbl 1316.93033 Rusanov, V. A.; Lakeev, A. V.; Linke, Yu. E. 9 2015 On solvability of the identification-inverse problem for operator-functions of a nonlinear regulator of a nonstationary hyperbolic system. Zbl 1347.93081 Rusanov, V. A.; Daneev, A. V.; Lakeev, A. V.; Linke, Yu. É. 7 2015 Extension in the Hilbert space of the differential realization of a countable set of nonlinear “input-output” processes. Zbl 1322.93056 Rusanov, V. A.; Lakeyev, A. V.; Linke, Yu. É. 1 2015 On realization of dynamic systems: assessment of fiducial accuracy in the process of adjustment of the realization matrix. Zbl 1376.37052 Rusanov, V. A.; Lakeev, A. V.; Linke, Y. É.; Voronov, V. A. 1 2014 Existence of a differential realization of a dynamical system in a Banach space in the constructions of extensions to \(M_p\)-operators. Zbl 1267.93033 Rusanov, V. A.; Lakeev, A. V.; Linke, Yu. É. 9 2013 A differential realization of an input-output autonomous nonlinear system of minimal dynamic order in a Hilbert space. Zbl 1283.93074 Rusanov, V. A.; Lakeev, A. V.; Linke, Yu. È. 2 2013 A characteristic feature of realizability of nonstationary differential systems in Banach spaces. Zbl 1244.93074 Rusanov, V. A.; Lakeev, A. V.; Linke, Yu. E. 1 2011 Existence and uniqueness of algebraic solutions to interval linear systems in the Kaucher complete interval arithmetic. Zbl 0934.65041 Lakeev, A. V. 1 1999 Computational complexity and feasibility of data processing and interval computations. Zbl 0945.68077 Kreinovich, V.; Lakeyev, A.; Rohn, Jiří; Kahl, Patrick 91 1998 Solving linear interval systems is NP-hard even if we exclude overflow and underflow. Zbl 0920.65012 Heindl, Gerhard; Kreinovich, Vladik; Lakeyev, Anatoly V. 3 1998 NP-hard classes of linear algebraic systems with uncertainties. Zbl 0884.65032 Lakeyev, Anatoly V.; Kreinovich, Vladik 4 1997 Computational complexity of interval algebraic problems: Some are feasible and some are computationally intractable – a survey. Zbl 0849.65023 Kreinovich, Vladik; Lakeyev, Anatoly; Rohn, Jiří 4 1996 Approximate linear algebra is intractable. Zbl 0846.65015 Kreinovich, V.; Lakeyev, A. V.; Noskov, S. I. 3 1996 On the computational complexity of the solution of linear systems with moduli. Zbl 0853.65040 Lakeyev, Anatoly V. 1 1996 Linear interval equations: Computing enclosures with bounded relative or absolute overestimation is NP-hard. Zbl 0871.65022 Kreinovich, Vladik; Lakeyev, Anatoly V. 1 1996 On the solution set of a linear equation with the right-hand side and operator given by intervals. Zbl 0852.65026 Lakeev, A. V.; Noskov, S. I. 7 1994 Optimal solution of interval linear systems is intractable (NP-hard). Zbl 0829.65032 Kreinovich, Vladik; Lakeyev, Anatoly V.; Noskov, Sergey I. 15 1993 A description of the set of solutions of a linear equation with interval defined operator and right-hand side. Zbl 0817.15002 Lakeev, A. V.; Noskov, S. I. 3 1993 all cited Publications top 5 cited Publications all top 5 Cited by 167 Authors 25 Kreinovich, Vladik Yakovlevich 17 Hladík, Milan 16 Lakeyev, Anatoliĭ Valentinovich 16 Rusanov, Vyacheslav Anatolievich 12 Linke, Yuriĭ Èrnievich 7 Daneev, Aleksey Vasilyevich 5 Dehghan Takht Fooladi, Mehdi 5 Ferson, Scott A. 5 Hashemi, Behnam 5 Myšková, Helena 5 Noskov, Sergey I. 5 Sharyĭ, Sergeĭ Petrovich 4 Hartman, David 4 Nguyen, Hung Trung 4 Vergasov, A. S. 3 Allahviranloo, Tofigh 3 Ghanbari, Mojtaba 3 Ghatee, Mehdi 3 Jaulin, Luc 3 Kearfott, Baker 3 Kosheleva, Olga M. 3 Longpré, Luc 3 Rohn, Jiri 2 Araya, Ignacio J. 2 Averill, Matthew G. 2 Banshchikov, Andreĭ Valentinovich 2 Beck, Jan B. 2 Berleant, Daniel J. 2 Cechlárová, Katarína 2 Chabert, Gilles 2 Destercke, Sébastien 2 Ginzburg, Lev R. 2 Horáček, Jaroslav 2 Ivlev, Ruslan S. 2 Keller, G. Randy 2 Litvinov, Grigory Lazarevich 2 Maslov, Viktor Pavlovich 2 Mayer, Günter 2 Neveu, Bertrand 2 Sallak, Mohamed 2 Skalna, Iwona 2 Starks, Scott A. 2 Trombettoni, Gilles 1 Acosta, Griselda 1 Adam, Stavros P. 1 Aksenov, Yu. D. 1 Alefeld, Götz E. 1 Alexandre dit Sandretto, Julien 1 Araiza, Roberto 1 Arıkan, Orhan 1 Arming, Sebastian 1 Aubry, Clément 1 Aviles, Monica 1 Barro, Senén 1 Bartocci, Ezio 1 Bedregal, Benjamín René Callejas 1 Behera, Diptiranjan 1 Ben Abdallah, Nadia 1 Blondel, Vincent D. 1 Bogle, Ian David Lockhart 1 Butenko, Sergiy I. 1 Ceberio, Martine 1 Černý, Michal 1 Chakraverty, Snehashish 1 Chatterjee, Krishnendu 1 Chiangpradit, Monchaya 1 Cho, Kwang-Hyun 1 Corsalo, Stephania 1 Cottenceau, Bertrand 1 Cuninghame-Green, Ray A. 1 Daneev, R. A. 1 Delanoue, Nicolas 1 den Hertog, Dick 1 Desmare, Rozenn 1 Dian, Jianwei 1 Dimuro, Graçaliz Pereira 1 Domes, Ferenc 1 Dubois, Didier 1 Fang, Shu-Cherng 1 Félix, Paulo 1 Ferregut, Carlos 1 Figueroa-García, Juan Carlos 1 Gazdag-Tóth, Boglárka 1 Goldsztejn, Alexandre 1 Gonzalez, Reginaldo 1 Goodman, Irwin R. 1 Gutierrez, Efren 1 Harary, Frank 1 Hernández-Pérez, Germán 1 Juditsky, Anatoli B. 1 Karras, Dimitrios A. 1 Katoen, Joost-Pieter 1 Kawamura, Akitoshi 1 Kolev, Lubomir V. 1 Koshelev, Misha 1 Kotsalis, Georgios 1 Kutalik, Zoltan 1 Lebbah, Yahia 1 Lhomme, Olivier 1 Li, Pingke ...and 67 more Authors all top 5 Cited in 60 Serials 13 Reliable Computing 8 International Journal of Approximate Reasoning 8 Linear Algebra and its Applications 6 Advances in Differential Equations and Control Processes 4 Information Sciences 4 European Journal of Operational Research 4 Advances and Applications in Discrete Mathematics 3 Applied Mathematics and Computation 3 Computing 3 Fuzzy Sets and Systems 3 Journal of Global Optimization 3 Soft Computing 3 Differential Equations 2 Artificial Intelligence 2 Kybernetika 2 Journal of Complexity 2 Applications of Mathematics 2 Numerical Algorithms 2 Applied Mathematical Modelling 2 Cybernetics and Systems Analysis 2 Russian Mathematics 2 Journal of Computer and Systems Sciences International 2 Doklady Mathematics 2 International Journal of Applied Mathematics and Computer Science 2 Optimization Letters 1 Computers & Mathematics with Applications 1 Discrete Applied Mathematics 1 International Journal of Theoretical Physics 1 Information Processing Letters 1 Mathematical Notes 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Chaos, Solitons and Fractals 1 Prikladnaya Matematika i Mekhanika 1 Automatica 1 BIT 1 Journal of Computational and Applied Mathematics 1 Journal of Computer and System Sciences 1 Mathematics and Computers in Simulation 1 Applied Numerical Mathematics 1 Optimization 1 Mathematical and Computer Modelling 1 Neural Networks 1 Annals of Operations Research 1 Japan Journal of Industrial and Applied Mathematics 1 Computational Statistics 1 Automation and Remote Control 1 International Journal of Computer Mathematics 1 Russian Journal of Mathematical Physics 1 Revista Investigación Operacional 1 ELA. The Electronic Journal of Linear Algebra 1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 1 Communications in Nonlinear Science and Numerical Simulation 1 CEJOR. Central European Journal of Operations Research 1 Differentsial’nye Uravneniya i Protsessy Upravleniya 1 Fuzzy Optimization and Decision Making 1 Computational Management Science 1 Mathematics in Computer Science 1 Open Mathematics 1 Advances in Data Science and Adaptive Analysis 1 OJMO. Open Journal of Mathematical Optimization all top 5 Cited in 28 Fields 70 Numerical analysis (65-XX) 26 Computer science (68-XX) 26 Operations research, mathematical programming (90-XX) 25 Systems theory; control (93-XX) 24 Linear and multilinear algebra; matrix theory (15-XX) 11 Statistics (62-XX) 6 Mathematical logic and foundations (03-XX) 4 General algebraic systems (08-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Associative rings and algebras (16-XX) 2 Partial differential equations (35-XX) 2 Geophysics (86-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year