Edit Profile (opens in new tab) Tret’yakov, Alexey A. Compute Distance To: Compute Author ID: tretyakov.alexey-a Published as: Tret’yakov, A. A.; Tret’yakov, Alexey A.; Tret’yakov, Alexey; Tretyakov, A. A.; Tretyakov, Alexey; Tretjakov, A. A.; Tret’yakov, A.; Tretyakov, Alexey A. Documents Indexed: 134 Publications since 1974, including 2 Books 1 Contribution as Editor Reviewing Activity: 624 Reviews Co-Authors: 33 Co-Authors with 121 Joint Publications 554 Co-Co-Authors all top 5 Co-Authors 14 single-authored 25 Brezhneva, Olga A. 17 Evtushenko, Yuriĭ Gavrilovich 17 Karmanov, Vladimir G. 15 Izmailov, Alekseĭ F. 14 Prusińska, Agnieszka 12 Bereznev, Valentin A. 9 Medak, Beata 9 Tyrtyshnikov, Evgeniĭ Evgen’evich 5 Szczepanik, Ewa 4 Bednarczuk, Ewa M. 4 Denisov, D. V. 4 Malozemov, Vasily Nikolaevich 2 Belash, K. N. 2 Chmura, Alan 2 Grzegorczyk, Wiesław 2 Khmura, A. 2 Maksimova, G. A. 2 Malkova, Vlasta 2 Marsden, Jerrold Eldon 2 Vasil’ev, N. S. 2 Wright, Stephen E. 1 Balash, K. N. 1 Bigil’deeva, Tat’yana Borisovna 1 Ganzha, T. V. 1 Khulap, G. S. 1 Korneva, I. L. 1 Pal’mova, I. E. 1 Pevny, Aleksandr Borisovich 1 Szkatuła, Krzysztof 1 Ustimenko, Aleksey 1 Yaitskov, A. S. 1 Zakrzewski, L. 1 Zavriev, S. N. 1 Żołądek, Henryk all top 5 Serials 21 Doklady Mathematics 19 Computational Mathematics and Mathematical Physics 9 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 6 U.S.S.R. Computational Mathematics and Mathematical Physics 4 Russian Journal of Numerical Analysis and Mathematical Modelling 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Vestnik St. Petersburg University. Mathematics 3 Boundary Value Problems 3 Optimization Letters 2 Numerical Functional Analysis and Optimization 2 SIAM Journal on Control and Optimization 2 Soviet Mathematics. Doklady 2 Moscow University Computational Mathematics and Cybernetics 2 Optimization 2 Journal of Computer and Systems Sciences International 2 Topological Methods in Nonlinear Analysis 2 Discussiones Mathematicae. Differential Inclusions, Control and Optimization 2 Communications on Pure and Applied Analysis 1 Problems of Information Transmission 1 Russian Mathematical Surveys 1 Ukrainian Mathematical Journal 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Calcolo 1 Control and Cybernetics 1 Journal of Optimization Theory and Applications 1 SIAM Journal on Numerical Analysis 1 Journal of Complexity 1 Computational Mathematics and Modeling 1 Soviet Physics. Doklady 1 Journal of Dynamics and Differential Equations 1 Set-Valued Analysis 1 Voprosy Kibernetiki (Moskva) 1 Vestnik Rossiĭskogo Universiteta Druzhby Narodov. Seriya Matematika 1 Kibernetika i Vychislitel’naya Tekhnika (Moskva) 1 Trudy Petrozavodskogo Gosudarstvennogo Universiteta. Seriya Matematika 1 Mathematical Communications 1 Mathematical Methods of Operations Research 1 Neliniĭni Kolyvannya 1 Issledovanie Operatsiĭ i ASU 1 Differential Equations 1 Carpathian Journal of Mathematics 1 Vychislitel’nye Metody i Programmirovanie 1 Journal of Mathematics and Applications 1 Set-Valued and Variational Analysis 1 TWMS Journal of Pure and Applied Mathematics all top 5 Fields 71 Operations research, mathematical programming (90-XX) 47 Numerical analysis (65-XX) 44 Calculus of variations and optimal control; optimization (49-XX) 32 Operator theory (47-XX) 16 Functional analysis (46-XX) 13 Ordinary differential equations (34-XX) 8 Global analysis, analysis on manifolds (58-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Information and communication theory, circuits (94-XX) 3 Partial differential equations (35-XX) 3 Convex and discrete geometry (52-XX) 3 Computer science (68-XX) 2 Real functions (26-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 60 Publications have been cited 232 times in 80 Documents Cited by ▼ Year ▼ Factor-analysis of nonlinear mappings: \(p\)-regularity theory. Zbl 1053.58004Tret’yakov, Alexey; Marsden, Jerrold E. 25 2003 Optimality conditions for degenerate extremum problems with equality constraints. Zbl 1037.49025Brezhneva, Olga A.; Tret’yakov, Alexey A. 21 2003 Necessary and sufficient conditions for optimality of P-th order. Zbl 0562.49013Tret’yakov, A. A. 20 1984 The implicit function theorem in degenerate problems. Zbl 0683.58008Tret’yakov, A. A. 16 1987 2-regular solutions of nonlinear problems. Theory and numerical methods. (2-регулярные решения нелинейных задач: теория и численные методы.) Zbl 0965.47050Izmailov, A. F.; Tret’yakov, A. A. 11 1999 Methods for solving degenerate problems. Zbl 0684.65051Belash, K. N.; Tret’yakov, A. A. 11 1988 The \(p\)th-order optimality conditions for inequality constrained optimization problems. Zbl 1224.90206Brezhneva, O. A.; Tret’yakov, A. A. 8 2005 The method of gradient descent for minimizing non-convex functions. Zbl 0817.49028Izmailov, A. F.; Tret’yakov, A. A. 7 1994 An elementary proof of the Karush-Kuhn-Tucker theorem in normed linear spaces for problems with a finite number of inequality constraints. Zbl 1222.90080Brezhneva, Olga; Tret’yakov, Alexey A. 6 2011 On the existence of solutions to nonlinear equations involving singular mappings with non-zero \(p\)-kernel. Zbl 1235.47054Prusińska, Agnieszka; Tret’yakov, Alexey A. 6 2011 The \(p\)-factor-Lagrange methods for degenerate nonlinear programming. Zbl 1133.90396Brezhneva, Olga A.; Tret’yakov, Alexey A. 5 2007 A remark on the existence of solutions to nonlinear equations with degenerate mappings. Zbl 1154.47050Prusińska, Agnieszka; Tret’yakov, Alexey 5 2008 \(p\)-factor methods for nonregular inequality-constrained optimization problems. Zbl 1165.90648Szczepanik, Ewa; Tret’yakov, Alexey 5 2008 The \(p\)th order optimality conditions for nonregular optimization problems. Zbl 1211.90244Brezhneva, O. A.; Tret’yakov, A. A. 5 2008 High order stability conditions for degenerate optimization problems; elements of \(p\)-regularity theory. Zbl 1229.90211Bednarczuk, Ewa; Prusińska, Agnieszka; Tret’yakov, Alexey A. 4 2011 Implicit function theorems for nonregular mappings in Banach spaces. Exit from singularity. Zbl 1143.47042Brezhneva, Olga A.; Tret’yakov, Alexey A. 4 2007 A simple and elementary proof of the Karush-Kuhn-Tucker theorem for inequality-constrained optimization. Zbl 1154.90587Brezhneva, Olga A.; Tret’yakov, Alexey A.; Wright, Stephen E. 4 2009 Higher-order implicit function theorems and degenerate nonlinear boundary-value problems. Zbl 1156.34013Brezhneva, Olga A.; Tret’yakov, Alexey A.; Marsden, Jerrold E. 4 2008 \(p\)-regularity theory. Tangent cone description in the singular case. Zbl 1458.46067Prusińska, A.; Tret’yakov, A. 4 2016 The 2-factor-method with a modified Lagrange function for degenerate constrained optimization problems. Zbl 1327.90302Brezhneva, O. A.; Evtushenko, Yu. G.; Tret’yakov, A. A. 3 2006 New methods for solving essentially nonlinear problems. (Novye metody resheniya sushchestvenno nelinejnykh problem.) Zbl 0993.65062Brezhneva, O. A.; Tret’yakov, A. A. 3 2000 On the choice of a method for solving a general system of nonlinear equations. Zbl 1018.47046Brezhneva, O. A.; Tret’yakov, A. A. 3 2001 Necessary and sufficient optimality conditions of p-th order. Zbl 0537.49009Tret’yakov, A. A. 3 1984 \(p\)th-order approximation of the solution set of nonlinear equations. Zbl 1313.47147Evtushenko, Yu. G.; Tret’yakov, A. A. 3 2013 Existence of periodic solutions to nonlinear \(p\)-regular boundary value problem. Zbl 1344.37020Medak, Beata; Tret’yakov, Alexey A. 2 2015 \(p\)th-order numerical methods for solving systems of nonlinear equations. Zbl 1301.65038Evtushenko, Yu. G.; Tret’yakov, A. A. 2 2014 Elementary proof of constructive versions of the tangent direction theorem and the implicit function theorem. Zbl 1251.26011Evtushenko, Yu. G.; Tret’yakov, A. A. 2 2012 Application of \(p\)-regularity theory to nonlinear boundary value problems. Zbl 1306.47074Grzegorczyk, Wiesław; Medak, Beata; Tret’yakov, Alexey A. 2 2013 Solvability of the Cauchy problem for a first-order partial differential equation in the degenerate case. Zbl 1029.35065Brezhneva, O. A.; Tret’yakov, A. A. 2 2002 Elementary proof of classical necessary optimality conditions for a mathematical programming problem with inequality constraints. Zbl 1180.49020Tret’yakov, A. A. 2 2009 Two schemes for a non-linear method of optimization in extremal problems. Zbl 0588.90080Tret’yakov, A. A. 2 1984 The stabilizing properties of the gradient method. Zbl 0641.90063Bereznëv, V. A.; Karmanov, V. G.; Tret’yakov, A. A. 2 1986 Methods for solving degenerate problems. Zbl 0653.65039Balash, K. N.; Tret’yakov, A. A. 2 1988 \(p\)-regular nonlinearity: tangency at singularity in degenerate optimization problems. Zbl 1458.46063Bednarczuk, Ewa M.; Tretyakov, Alexey 2 2017 \(p\)th order Kuhn-Tucker-type optimality conditions for a singular inequality constrained optimization problem. Zbl 1211.90240Tret’yakov, A. A. 1 2010 New approach to optimality conditions for degenerate nonlinear programming problems. Zbl 1342.90179Brezhneva, O. A.; Tret’yakov, A. A. 1 2016 \(p\)-regular nonlinear dynamics. Zbl 1309.34071Medak, B.; Tret’yakov, A. A. 1 2014 Generalization of \(p\)-regularity notion and tangent cone description in the singular case. Zbl 1317.58012Grzegorczyk, Wiesław; Medak, Beata; Tret’yakov, Alexey A. 1 2012 Solutions to some singular nonlinear boundary value problems. Zbl 1293.35324Medak, Beata; Tret’yakov, Alexey A.; Żołądek, Henryk 1 2013 A finite gradient-projective solver for a quadratic programming problem. Zbl 1296.65092Tret’yakov, A.; Tyrtyshnikov, E. E. 1 2013 P-factor-approach to degenerate optimization problems. Zbl 1219.90160Brezhneva, O. A.; Tret’yakov, A. A. 1 2006 On the gradient method in a Hilbert space in the case of nonisolated minima. Zbl 0964.90058Izmailov, A. F.; Tret’yakov, A. A. 1 1999 An approach to finding singular solutions to a general system of nonlinear equations. Zbl 0990.65056Brezhneva, O. A.; Izmailov, A. F.; Tret’yakov, A. A.; Khmura, A. 1 2000 The \(p\)-regularity theory and Poincaré’s small parameter method. Zbl 1208.34089Brezhneva, O. A.; Evtushenko, Yu. G.; Tret’yakov, A. A. 1 2006 On solution existence for the perturbed degenerate optimization problem with equality constraints: \(p\)-order stability condition. Zbl 1205.49010Tret’yakov, A. A. 1 2010 A short elementary proof of the Lagrange multiplier theorem. Zbl 1259.90129Brezhneva, Olga; Tret’yakov, Alexey A.; Wright, Stephen E. 1 2012 A modified 2-factor method for solving systems of nonlinear equations. Zbl 1022.65056Brezhneva, O. A.; Tret’yakov, A. A.; Chmura, A. 1 2001 Partitioning, orthogonality, and permutations. Zbl 1043.94003Malozemov, V. N.; Tret’yakov, A. A. 1 1999 On stabilizing properties of the gradient method. Zbl 0613.90079Bereznëv, V. A.; Karmanov, V. G.; Tret’yakov, A. A. 1 1986 The accelerated Newton method for the solution of functional equations. Zbl 0618.65048Denisov, D. V.; Karmanov, V. G.; Tret’yakov, A. A. 1 1985 Exact differentiable penalty for a problem of quadratic programming with the use of a gradient-projective method. Zbl 1309.90074Tret’yakov, Alexey; Tyrtyshnikov, Eugene 1 2015 Necessary \(p\)-th order optimality conditions for irregular Lagrange problem in calculus of variations. Zbl 1308.90197Prusińska, Agnieszka; Tret’yakov, Alexey 1 2014 On a local regularization of some classes of nonlinear operator equations. Zbl 1161.65331Izmailov, A. F.; Tret’yakov, A. A. 1 1996 \(p\)-order necessary and sufficient conditions for optimality in singular calculus of variations. Zbl 1237.49027Prusińska, Agnieszka; Tret’yakov, Alexey 1 2010 A finite-termination gradient projection method for solving systems of linear inequalities. Zbl 1193.65102Tret’yakov, A. A. 1 2010 Corrigendum: optimality conditions for degenerate extremum problems with equality constraints. Zbl 1201.49025Brezhneva, Olga; Tret’yakov, Alexey A. 1 2010 New approach to Farkas’ theorem of the alternative. Zbl 1428.46002Evtushenko, Yu. G.; Tret’yakov, A. A.; Tyrtyshnikov, E. E. 1 2019 Iterative method for solving nonlinear singular problems. Zbl 1377.65058Prusińska, Agnieszka; Tret’yakov, Alexey 1 2016 When the Karush-Kuhn-Tucker theorem fails: constraint qualifications and higher-order optimality conditions for degenerate optimization problems. Zbl 1377.49025Brezhneva, Olga; Tret’yakov, Alexey A. 1 2017 Application of \(p\)-regularity theory to the Duffing equation. Zbl 06741154Medak, Beata; Tret’yakov, Alexey A. 1 2017 New approach to Farkas’ theorem of the alternative. Zbl 1428.46002Evtushenko, Yu. G.; Tret’yakov, A. A.; Tyrtyshnikov, E. E. 1 2019 \(p\)-regular nonlinearity: tangency at singularity in degenerate optimization problems. Zbl 1458.46063Bednarczuk, Ewa M.; Tretyakov, Alexey 2 2017 When the Karush-Kuhn-Tucker theorem fails: constraint qualifications and higher-order optimality conditions for degenerate optimization problems. Zbl 1377.49025Brezhneva, Olga; Tret’yakov, Alexey A. 1 2017 Application of \(p\)-regularity theory to the Duffing equation. Zbl 06741154Medak, Beata; Tret’yakov, Alexey A. 1 2017 \(p\)-regularity theory. Tangent cone description in the singular case. Zbl 1458.46067Prusińska, A.; Tret’yakov, A. 4 2016 New approach to optimality conditions for degenerate nonlinear programming problems. Zbl 1342.90179Brezhneva, O. A.; Tret’yakov, A. A. 1 2016 Iterative method for solving nonlinear singular problems. Zbl 1377.65058Prusińska, Agnieszka; Tret’yakov, Alexey 1 2016 Existence of periodic solutions to nonlinear \(p\)-regular boundary value problem. Zbl 1344.37020Medak, Beata; Tret’yakov, Alexey A. 2 2015 Exact differentiable penalty for a problem of quadratic programming with the use of a gradient-projective method. Zbl 1309.90074Tret’yakov, Alexey; Tyrtyshnikov, Eugene 1 2015 \(p\)th-order numerical methods for solving systems of nonlinear equations. Zbl 1301.65038Evtushenko, Yu. G.; Tret’yakov, A. A. 2 2014 \(p\)-regular nonlinear dynamics. Zbl 1309.34071Medak, B.; Tret’yakov, A. A. 1 2014 Necessary \(p\)-th order optimality conditions for irregular Lagrange problem in calculus of variations. Zbl 1308.90197Prusińska, Agnieszka; Tret’yakov, Alexey 1 2014 \(p\)th-order approximation of the solution set of nonlinear equations. Zbl 1313.47147Evtushenko, Yu. G.; Tret’yakov, A. A. 3 2013 Application of \(p\)-regularity theory to nonlinear boundary value problems. Zbl 1306.47074Grzegorczyk, Wiesław; Medak, Beata; Tret’yakov, Alexey A. 2 2013 Solutions to some singular nonlinear boundary value problems. Zbl 1293.35324Medak, Beata; Tret’yakov, Alexey A.; Żołądek, Henryk 1 2013 A finite gradient-projective solver for a quadratic programming problem. Zbl 1296.65092Tret’yakov, A.; Tyrtyshnikov, E. E. 1 2013 Elementary proof of constructive versions of the tangent direction theorem and the implicit function theorem. Zbl 1251.26011Evtushenko, Yu. G.; Tret’yakov, A. A. 2 2012 Generalization of \(p\)-regularity notion and tangent cone description in the singular case. Zbl 1317.58012Grzegorczyk, Wiesław; Medak, Beata; Tret’yakov, Alexey A. 1 2012 A short elementary proof of the Lagrange multiplier theorem. Zbl 1259.90129Brezhneva, Olga; Tret’yakov, Alexey A.; Wright, Stephen E. 1 2012 An elementary proof of the Karush-Kuhn-Tucker theorem in normed linear spaces for problems with a finite number of inequality constraints. Zbl 1222.90080Brezhneva, Olga; Tret’yakov, Alexey A. 6 2011 On the existence of solutions to nonlinear equations involving singular mappings with non-zero \(p\)-kernel. Zbl 1235.47054Prusińska, Agnieszka; Tret’yakov, Alexey A. 6 2011 High order stability conditions for degenerate optimization problems; elements of \(p\)-regularity theory. Zbl 1229.90211Bednarczuk, Ewa; Prusińska, Agnieszka; Tret’yakov, Alexey A. 4 2011 \(p\)th order Kuhn-Tucker-type optimality conditions for a singular inequality constrained optimization problem. Zbl 1211.90240Tret’yakov, A. A. 1 2010 On solution existence for the perturbed degenerate optimization problem with equality constraints: \(p\)-order stability condition. Zbl 1205.49010Tret’yakov, A. A. 1 2010 \(p\)-order necessary and sufficient conditions for optimality in singular calculus of variations. Zbl 1237.49027Prusińska, Agnieszka; Tret’yakov, Alexey 1 2010 A finite-termination gradient projection method for solving systems of linear inequalities. Zbl 1193.65102Tret’yakov, A. A. 1 2010 Corrigendum: optimality conditions for degenerate extremum problems with equality constraints. Zbl 1201.49025Brezhneva, Olga; Tret’yakov, Alexey A. 1 2010 A simple and elementary proof of the Karush-Kuhn-Tucker theorem for inequality-constrained optimization. Zbl 1154.90587Brezhneva, Olga A.; Tret’yakov, Alexey A.; Wright, Stephen E. 4 2009 Elementary proof of classical necessary optimality conditions for a mathematical programming problem with inequality constraints. Zbl 1180.49020Tret’yakov, A. A. 2 2009 A remark on the existence of solutions to nonlinear equations with degenerate mappings. Zbl 1154.47050Prusińska, Agnieszka; Tret’yakov, Alexey 5 2008 \(p\)-factor methods for nonregular inequality-constrained optimization problems. Zbl 1165.90648Szczepanik, Ewa; Tret’yakov, Alexey 5 2008 The \(p\)th order optimality conditions for nonregular optimization problems. Zbl 1211.90244Brezhneva, O. A.; Tret’yakov, A. A. 5 2008 Higher-order implicit function theorems and degenerate nonlinear boundary-value problems. Zbl 1156.34013Brezhneva, Olga A.; Tret’yakov, Alexey A.; Marsden, Jerrold E. 4 2008 The \(p\)-factor-Lagrange methods for degenerate nonlinear programming. Zbl 1133.90396Brezhneva, Olga A.; Tret’yakov, Alexey A. 5 2007 Implicit function theorems for nonregular mappings in Banach spaces. Exit from singularity. Zbl 1143.47042Brezhneva, Olga A.; Tret’yakov, Alexey A. 4 2007 The 2-factor-method with a modified Lagrange function for degenerate constrained optimization problems. Zbl 1327.90302Brezhneva, O. A.; Evtushenko, Yu. G.; Tret’yakov, A. A. 3 2006 P-factor-approach to degenerate optimization problems. Zbl 1219.90160Brezhneva, O. A.; Tret’yakov, A. A. 1 2006 The \(p\)-regularity theory and Poincaré’s small parameter method. Zbl 1208.34089Brezhneva, O. A.; Evtushenko, Yu. G.; Tret’yakov, A. A. 1 2006 The \(p\)th-order optimality conditions for inequality constrained optimization problems. Zbl 1224.90206Brezhneva, O. A.; Tret’yakov, A. A. 8 2005 Factor-analysis of nonlinear mappings: \(p\)-regularity theory. Zbl 1053.58004Tret’yakov, Alexey; Marsden, Jerrold E. 25 2003 Optimality conditions for degenerate extremum problems with equality constraints. Zbl 1037.49025Brezhneva, Olga A.; Tret’yakov, Alexey A. 21 2003 Solvability of the Cauchy problem for a first-order partial differential equation in the degenerate case. Zbl 1029.35065Brezhneva, O. A.; Tret’yakov, A. A. 2 2002 On the choice of a method for solving a general system of nonlinear equations. Zbl 1018.47046Brezhneva, O. A.; Tret’yakov, A. A. 3 2001 A modified 2-factor method for solving systems of nonlinear equations. Zbl 1022.65056Brezhneva, O. A.; Tret’yakov, A. A.; Chmura, A. 1 2001 New methods for solving essentially nonlinear problems. (Novye metody resheniya sushchestvenno nelinejnykh problem.) Zbl 0993.65062Brezhneva, O. A.; Tret’yakov, A. A. 3 2000 An approach to finding singular solutions to a general system of nonlinear equations. Zbl 0990.65056Brezhneva, O. A.; Izmailov, A. F.; Tret’yakov, A. A.; Khmura, A. 1 2000 2-regular solutions of nonlinear problems. Theory and numerical methods. (2-регулярные решения нелинейных задач: теория и численные методы.) Zbl 0965.47050Izmailov, A. F.; Tret’yakov, A. A. 11 1999 On the gradient method in a Hilbert space in the case of nonisolated minima. Zbl 0964.90058Izmailov, A. F.; Tret’yakov, A. A. 1 1999 Partitioning, orthogonality, and permutations. Zbl 1043.94003Malozemov, V. N.; Tret’yakov, A. A. 1 1999 On a local regularization of some classes of nonlinear operator equations. Zbl 1161.65331Izmailov, A. F.; Tret’yakov, A. A. 1 1996 The method of gradient descent for minimizing non-convex functions. Zbl 0817.49028Izmailov, A. F.; Tret’yakov, A. A. 7 1994 Methods for solving degenerate problems. Zbl 0684.65051Belash, K. N.; Tret’yakov, A. A. 11 1988 Methods for solving degenerate problems. Zbl 0653.65039Balash, K. N.; Tret’yakov, A. A. 2 1988 The implicit function theorem in degenerate problems. Zbl 0683.58008Tret’yakov, A. A. 16 1987 The stabilizing properties of the gradient method. Zbl 0641.90063Bereznëv, V. A.; Karmanov, V. G.; Tret’yakov, A. A. 2 1986 On stabilizing properties of the gradient method. Zbl 0613.90079Bereznëv, V. A.; Karmanov, V. G.; Tret’yakov, A. A. 1 1986 The accelerated Newton method for the solution of functional equations. Zbl 0618.65048Denisov, D. V.; Karmanov, V. G.; Tret’yakov, A. A. 1 1985 Necessary and sufficient conditions for optimality of P-th order. Zbl 0562.49013Tret’yakov, A. A. 20 1984 Necessary and sufficient optimality conditions of p-th order. Zbl 0537.49009Tret’yakov, A. A. 3 1984 Two schemes for a non-linear method of optimization in extremal problems. Zbl 0588.90080Tret’yakov, A. A. 2 1984 all cited Publications top 5 cited Publications all top 5 Cited by 54 Authors 42 Tret’yakov, Alexey A. 12 Evtushenko, Yuriĭ Gavrilovich 11 Brezhneva, Olga A. 7 Prusińska, Agnieszka 6 Medak, Beata 4 Arutyunov, Aram Vladimirovic 4 Bednarczuk, Ewa M. 4 Izmailov, Alekseĭ F. 3 Kokurin, Mikhail Yur’evich 3 Ledzewicz, Urszula 3 Ruiz Galán, Manuel 3 Szczepanik, Ewa 3 Tyrtyshnikov, Evgeniĭ Evgen’evich 2 Bakushinskĭ, Anatoliĭ Borisovich B. 2 Cartis, Coralia 2 Constantin, Elena 2 Hernández-Jiménez, Beatriz 2 Montiel López, Pablo 2 Osuna-Gómez, Rafaela 2 Toint, Philippe L. 2 Ustimenko, Aleksey 1 Aida-Zade, Kamil Rajab 1 Alber, Yakov I. 1 Arana-Jiménez, Manuel 1 Avakov, Evgeniĭ Rachievich 1 Beato-Moreno, Antonio 1 Bespalov, Mikhaĭl Sergeevich 1 Borwein, Jonathan Michael 1 Brinkhuis, Jan 1 Dubeau, François 1 Flores-Bazán, Fabián 1 Gfrerer, Helmut 1 Gonzaga, Clovis C. 1 Gould, Nick I. M. 1 Grzegorczyk, Wiesław 1 Iusem, Alfredo Noel 1 Ivanov, Vsevolod Ivanov 1 Kokurin, Mikhail Mikhailovich 1 Kostyukova, Olga Ivanova 1 Luke, David Russell 1 Morozov, Vladimir Vladimirovich 1 Polyak, Boris Teodorovich 1 Protasov, Vladimir Yu. 1 Rojas-Medar, Marko Antonio 1 Ruiz-Garzón, Gabriel 1 Schättler, Heinz Michael 1 Smyrlis, George 1 Solodov, Mikhail V. 1 Tchemisova, Tatiana V. 1 Tremba, Andrey Aleksandrovich 1 Tret’yakov, Aleksey 1 Wright, Stephen E. 1 Ye, Jane J. 1 Yermalinskaya, Svetlana A. all top 5 Cited in 28 Serials 16 Doklady Mathematics 9 Journal of Optimization Theory and Applications 9 Computational Mathematics and Mathematical Physics 5 Journal of Mathematical Analysis and Applications 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Numerical Functional Analysis and Optimization 3 Journal of Global Optimization 3 Boundary Value Problems 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Optimization 2 Mathematical Programming. Series A. Series B 2 Russian Journal of Numerical Analysis and Mathematical Modelling 2 Optimization Letters 2 Set-Valued and Variational Analysis 1 Applicable Analysis 1 Mathematical Notes 1 Ukrainian Mathematical Journal 1 Calcolo 1 Moscow University Computational Mathematics and Cybernetics 1 Operations Research Letters 1 Journal of Complexity 1 Journal of Dynamics and Differential Equations 1 Russian Mathematics 1 Journal of Computer and Systems Sciences International 1 Set-Valued Analysis 1 Optimization Methods & Software 1 Mathematical Methods of Operations Research 1 Foundations of Computational Mathematics all top 5 Cited in 14 Fields 43 Operations research, mathematical programming (90-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 20 Numerical analysis (65-XX) 15 Operator theory (47-XX) 10 Functional analysis (46-XX) 9 Ordinary differential equations (34-XX) 6 Real functions (26-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 Partial differential equations (35-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Systems theory; control (93-XX) Citations by Year