×

Tret’yakov, Alexey A.

Compute Distance To:
Author ID: tretyakov.alexey-a Recent zbMATH articles by "Tret’yakov, 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

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

Publications by Year

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 1053.58004
Tret’yakov, Alexey; Marsden, Jerrold E.
25
2003
Optimality conditions for degenerate extremum problems with equality constraints. Zbl 1037.49025
Brezhneva, Olga A.; Tret’yakov, Alexey A.
21
2003
Necessary and sufficient conditions for optimality of P-th order. Zbl 0562.49013
Tret’yakov, A. A.
20
1984
The implicit function theorem in degenerate problems. Zbl 0683.58008
Tret’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 0965.47050
Izmailov, A. F.; Tret’yakov, A. A.
11
1999
Methods for solving degenerate problems. Zbl 0684.65051
Belash, K. N.; Tret’yakov, A. A.
11
1988
The \(p\)th-order optimality conditions for inequality constrained optimization problems. Zbl 1224.90206
Brezhneva, O. A.; Tret’yakov, A. A.
8
2005
The method of gradient descent for minimizing non-convex functions. Zbl 0817.49028
Izmailov, 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 1222.90080
Brezhneva, Olga; Tret’yakov, Alexey A.
6
2011
On the existence of solutions to nonlinear equations involving singular mappings with non-zero \(p\)-kernel. Zbl 1235.47054
Prusińska, Agnieszka; Tret’yakov, Alexey A.
6
2011
The \(p\)-factor-Lagrange methods for degenerate nonlinear programming. Zbl 1133.90396
Brezhneva, Olga A.; Tret’yakov, Alexey A.
5
2007
A remark on the existence of solutions to nonlinear equations with degenerate mappings. Zbl 1154.47050
Prusińska, Agnieszka; Tret’yakov, Alexey
5
2008
\(p\)-factor methods for nonregular inequality-constrained optimization problems. Zbl 1165.90648
Szczepanik, Ewa; Tret’yakov, Alexey
5
2008
The \(p\)th order optimality conditions for nonregular optimization problems. Zbl 1211.90244
Brezhneva, O. A.; Tret’yakov, A. A.
5
2008
High order stability conditions for degenerate optimization problems; elements of \(p\)-regularity theory. Zbl 1229.90211
Bednarczuk, Ewa; Prusińska, Agnieszka; Tret’yakov, Alexey A.
4
2011
Implicit function theorems for nonregular mappings in Banach spaces. Exit from singularity. Zbl 1143.47042
Brezhneva, Olga A.; Tret’yakov, Alexey A.
4
2007
A simple and elementary proof of the Karush-Kuhn-Tucker theorem for inequality-constrained optimization. Zbl 1154.90587
Brezhneva, Olga A.; Tret’yakov, Alexey A.; Wright, Stephen E.
4
2009
Higher-order implicit function theorems and degenerate nonlinear boundary-value problems. Zbl 1156.34013
Brezhneva, Olga A.; Tret’yakov, Alexey A.; Marsden, Jerrold E.
4
2008
\(p\)-regularity theory. Tangent cone description in the singular case. Zbl 1458.46067
Prusińska, A.; Tret’yakov, A.
4
2016
The 2-factor-method with a modified Lagrange function for degenerate constrained optimization problems. Zbl 1327.90302
Brezhneva, 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 0993.65062
Brezhneva, O. A.; Tret’yakov, A. A.
3
2000
On the choice of a method for solving a general system of nonlinear equations. Zbl 1018.47046
Brezhneva, O. A.; Tret’yakov, A. A.
3
2001
Necessary and sufficient optimality conditions of p-th order. Zbl 0537.49009
Tret’yakov, A. A.
3
1984
\(p\)th-order approximation of the solution set of nonlinear equations. Zbl 1313.47147
Evtushenko, Yu. G.; Tret’yakov, A. A.
3
2013
Existence of periodic solutions to nonlinear \(p\)-regular boundary value problem. Zbl 1344.37020
Medak, Beata; Tret’yakov, Alexey A.
2
2015
\(p\)th-order numerical methods for solving systems of nonlinear equations. Zbl 1301.65038
Evtushenko, Yu. G.; Tret’yakov, A. A.
2
2014
Elementary proof of constructive versions of the tangent direction theorem and the implicit function theorem. Zbl 1251.26011
Evtushenko, Yu. G.; Tret’yakov, A. A.
2
2012
Application of \(p\)-regularity theory to nonlinear boundary value problems. Zbl 1306.47074
Grzegorczyk, 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 1029.35065
Brezhneva, O. A.; Tret’yakov, A. A.
2
2002
Elementary proof of classical necessary optimality conditions for a mathematical programming problem with inequality constraints. Zbl 1180.49020
Tret’yakov, A. A.
2
2009
Two schemes for a non-linear method of optimization in extremal problems. Zbl 0588.90080
Tret’yakov, A. A.
2
1984
The stabilizing properties of the gradient method. Zbl 0641.90063
Bereznëv, V. A.; Karmanov, V. G.; Tret’yakov, A. A.
2
1986
Methods for solving degenerate problems. Zbl 0653.65039
Balash, K. N.; Tret’yakov, A. A.
2
1988
\(p\)-regular nonlinearity: tangency at singularity in degenerate optimization problems. Zbl 1458.46063
Bednarczuk, Ewa M.; Tretyakov, Alexey
2
2017
\(p\)th order Kuhn-Tucker-type optimality conditions for a singular inequality constrained optimization problem. Zbl 1211.90240
Tret’yakov, A. A.
1
2010
New approach to optimality conditions for degenerate nonlinear programming problems. Zbl 1342.90179
Brezhneva, O. A.; Tret’yakov, A. A.
1
2016
\(p\)-regular nonlinear dynamics. Zbl 1309.34071
Medak, B.; Tret’yakov, A. A.
1
2014
Generalization of \(p\)-regularity notion and tangent cone description in the singular case. Zbl 1317.58012
Grzegorczyk, Wiesław; Medak, Beata; Tret’yakov, Alexey A.
1
2012
Solutions to some singular nonlinear boundary value problems. Zbl 1293.35324
Medak, Beata; Tret’yakov, Alexey A.; Żołądek, Henryk
1
2013
A finite gradient-projective solver for a quadratic programming problem. Zbl 1296.65092
Tret’yakov, A.; Tyrtyshnikov, E. E.
1
2013
P-factor-approach to degenerate optimization problems. Zbl 1219.90160
Brezhneva, O. A.; Tret’yakov, A. A.
1
2006
On the gradient method in a Hilbert space in the case of nonisolated minima. Zbl 0964.90058
Izmailov, A. F.; Tret’yakov, A. A.
1
1999
An approach to finding singular solutions to a general system of nonlinear equations. Zbl 0990.65056
Brezhneva, O. A.; Izmailov, A. F.; Tret’yakov, A. A.; Khmura, A.
1
2000
The \(p\)-regularity theory and Poincaré’s small parameter method. Zbl 1208.34089
Brezhneva, 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 1205.49010
Tret’yakov, A. A.
1
2010
A short elementary proof of the Lagrange multiplier theorem. Zbl 1259.90129
Brezhneva, Olga; Tret’yakov, Alexey A.; Wright, Stephen E.
1
2012
A modified 2-factor method for solving systems of nonlinear equations. Zbl 1022.65056
Brezhneva, O. A.; Tret’yakov, A. A.; Chmura, A.
1
2001
Partitioning, orthogonality, and permutations. Zbl 1043.94003
Malozemov, V. N.; Tret’yakov, A. A.
1
1999
On stabilizing properties of the gradient method. Zbl 0613.90079
Bereznëv, V. A.; Karmanov, V. G.; Tret’yakov, A. A.
1
1986
The accelerated Newton method for the solution of functional equations. Zbl 0618.65048
Denisov, 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 1309.90074
Tret’yakov, Alexey; Tyrtyshnikov, Eugene
1
2015
Necessary \(p\)-th order optimality conditions for irregular Lagrange problem in calculus of variations. Zbl 1308.90197
Prusińska, Agnieszka; Tret’yakov, Alexey
1
2014
On a local regularization of some classes of nonlinear operator equations. Zbl 1161.65331
Izmailov, A. F.; Tret’yakov, A. A.
1
1996
\(p\)-order necessary and sufficient conditions for optimality in singular calculus of variations. Zbl 1237.49027
Prusińska, Agnieszka; Tret’yakov, Alexey
1
2010
A finite-termination gradient projection method for solving systems of linear inequalities. Zbl 1193.65102
Tret’yakov, A. A.
1
2010
Corrigendum: optimality conditions for degenerate extremum problems with equality constraints. Zbl 1201.49025
Brezhneva, Olga; Tret’yakov, Alexey A.
1
2010
New approach to Farkas’ theorem of the alternative. Zbl 1428.46002
Evtushenko, Yu. G.; Tret’yakov, A. A.; Tyrtyshnikov, E. E.
1
2019
Iterative method for solving nonlinear singular problems. Zbl 1377.65058
Prusińska, 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 1377.49025
Brezhneva, Olga; Tret’yakov, Alexey A.
1
2017
Application of \(p\)-regularity theory to the Duffing equation. Zbl 06741154
Medak, Beata; Tret’yakov, Alexey A.
1
2017
New approach to Farkas’ theorem of the alternative. Zbl 1428.46002
Evtushenko, Yu. G.; Tret’yakov, A. A.; Tyrtyshnikov, E. E.
1
2019
\(p\)-regular nonlinearity: tangency at singularity in degenerate optimization problems. Zbl 1458.46063
Bednarczuk, 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 1377.49025
Brezhneva, Olga; Tret’yakov, Alexey A.
1
2017
Application of \(p\)-regularity theory to the Duffing equation. Zbl 06741154
Medak, Beata; Tret’yakov, Alexey A.
1
2017
\(p\)-regularity theory. Tangent cone description in the singular case. Zbl 1458.46067
Prusińska, A.; Tret’yakov, A.
4
2016
New approach to optimality conditions for degenerate nonlinear programming problems. Zbl 1342.90179
Brezhneva, O. A.; Tret’yakov, A. A.
1
2016
Iterative method for solving nonlinear singular problems. Zbl 1377.65058
Prusińska, Agnieszka; Tret’yakov, Alexey
1
2016
Existence of periodic solutions to nonlinear \(p\)-regular boundary value problem. Zbl 1344.37020
Medak, 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 1309.90074
Tret’yakov, Alexey; Tyrtyshnikov, Eugene
1
2015
\(p\)th-order numerical methods for solving systems of nonlinear equations. Zbl 1301.65038
Evtushenko, Yu. G.; Tret’yakov, A. A.
2
2014
\(p\)-regular nonlinear dynamics. Zbl 1309.34071
Medak, B.; Tret’yakov, A. A.
1
2014
Necessary \(p\)-th order optimality conditions for irregular Lagrange problem in calculus of variations. Zbl 1308.90197
Prusińska, Agnieszka; Tret’yakov, Alexey
1
2014
\(p\)th-order approximation of the solution set of nonlinear equations. Zbl 1313.47147
Evtushenko, Yu. G.; Tret’yakov, A. A.
3
2013
Application of \(p\)-regularity theory to nonlinear boundary value problems. Zbl 1306.47074
Grzegorczyk, Wiesław; Medak, Beata; Tret’yakov, Alexey A.
2
2013
Solutions to some singular nonlinear boundary value problems. Zbl 1293.35324
Medak, Beata; Tret’yakov, Alexey A.; Żołądek, Henryk
1
2013
A finite gradient-projective solver for a quadratic programming problem. Zbl 1296.65092
Tret’yakov, A.; Tyrtyshnikov, E. E.
1
2013
Elementary proof of constructive versions of the tangent direction theorem and the implicit function theorem. Zbl 1251.26011
Evtushenko, Yu. G.; Tret’yakov, A. A.
2
2012
Generalization of \(p\)-regularity notion and tangent cone description in the singular case. Zbl 1317.58012
Grzegorczyk, Wiesław; Medak, Beata; Tret’yakov, Alexey A.
1
2012
A short elementary proof of the Lagrange multiplier theorem. Zbl 1259.90129
Brezhneva, 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 1222.90080
Brezhneva, Olga; Tret’yakov, Alexey A.
6
2011
On the existence of solutions to nonlinear equations involving singular mappings with non-zero \(p\)-kernel. Zbl 1235.47054
Prusińska, Agnieszka; Tret’yakov, Alexey A.
6
2011
High order stability conditions for degenerate optimization problems; elements of \(p\)-regularity theory. Zbl 1229.90211
Bednarczuk, 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 1211.90240
Tret’yakov, A. A.
1
2010
On solution existence for the perturbed degenerate optimization problem with equality constraints: \(p\)-order stability condition. Zbl 1205.49010
Tret’yakov, A. A.
1
2010
\(p\)-order necessary and sufficient conditions for optimality in singular calculus of variations. Zbl 1237.49027
Prusińska, Agnieszka; Tret’yakov, Alexey
1
2010
A finite-termination gradient projection method for solving systems of linear inequalities. Zbl 1193.65102
Tret’yakov, A. A.
1
2010
Corrigendum: optimality conditions for degenerate extremum problems with equality constraints. Zbl 1201.49025
Brezhneva, Olga; Tret’yakov, Alexey A.
1
2010
A simple and elementary proof of the Karush-Kuhn-Tucker theorem for inequality-constrained optimization. Zbl 1154.90587
Brezhneva, 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 1180.49020
Tret’yakov, A. A.
2
2009
A remark on the existence of solutions to nonlinear equations with degenerate mappings. Zbl 1154.47050
Prusińska, Agnieszka; Tret’yakov, Alexey
5
2008
\(p\)-factor methods for nonregular inequality-constrained optimization problems. Zbl 1165.90648
Szczepanik, Ewa; Tret’yakov, Alexey
5
2008
The \(p\)th order optimality conditions for nonregular optimization problems. Zbl 1211.90244
Brezhneva, O. A.; Tret’yakov, A. A.
5
2008
Higher-order implicit function theorems and degenerate nonlinear boundary-value problems. Zbl 1156.34013
Brezhneva, Olga A.; Tret’yakov, Alexey A.; Marsden, Jerrold E.
4
2008
The \(p\)-factor-Lagrange methods for degenerate nonlinear programming. Zbl 1133.90396
Brezhneva, Olga A.; Tret’yakov, Alexey A.
5
2007
Implicit function theorems for nonregular mappings in Banach spaces. Exit from singularity. Zbl 1143.47042
Brezhneva, Olga A.; Tret’yakov, Alexey A.
4
2007
The 2-factor-method with a modified Lagrange function for degenerate constrained optimization problems. Zbl 1327.90302
Brezhneva, O. A.; Evtushenko, Yu. G.; Tret’yakov, A. A.
3
2006
P-factor-approach to degenerate optimization problems. Zbl 1219.90160
Brezhneva, O. A.; Tret’yakov, A. A.
1
2006
The \(p\)-regularity theory and Poincaré’s small parameter method. Zbl 1208.34089
Brezhneva, O. A.; Evtushenko, Yu. G.; Tret’yakov, A. A.
1
2006
The \(p\)th-order optimality conditions for inequality constrained optimization problems. Zbl 1224.90206
Brezhneva, O. A.; Tret’yakov, A. A.
8
2005
Factor-analysis of nonlinear mappings: \(p\)-regularity theory. Zbl 1053.58004
Tret’yakov, Alexey; Marsden, Jerrold E.
25
2003
Optimality conditions for degenerate extremum problems with equality constraints. Zbl 1037.49025
Brezhneva, 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 1029.35065
Brezhneva, O. A.; Tret’yakov, A. A.
2
2002
On the choice of a method for solving a general system of nonlinear equations. Zbl 1018.47046
Brezhneva, O. A.; Tret’yakov, A. A.
3
2001
A modified 2-factor method for solving systems of nonlinear equations. Zbl 1022.65056
Brezhneva, O. A.; Tret’yakov, A. A.; Chmura, A.
1
2001
New methods for solving essentially nonlinear problems. (Novye metody resheniya sushchestvenno nelinejnykh problem.) Zbl 0993.65062
Brezhneva, O. A.; Tret’yakov, A. A.
3
2000
An approach to finding singular solutions to a general system of nonlinear equations. Zbl 0990.65056
Brezhneva, 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 0965.47050
Izmailov, A. F.; Tret’yakov, A. A.
11
1999
On the gradient method in a Hilbert space in the case of nonisolated minima. Zbl 0964.90058
Izmailov, A. F.; Tret’yakov, A. A.
1
1999
Partitioning, orthogonality, and permutations. Zbl 1043.94003
Malozemov, V. N.; Tret’yakov, A. A.
1
1999
On a local regularization of some classes of nonlinear operator equations. Zbl 1161.65331
Izmailov, A. F.; Tret’yakov, A. A.
1
1996
The method of gradient descent for minimizing non-convex functions. Zbl 0817.49028
Izmailov, A. F.; Tret’yakov, A. A.
7
1994
Methods for solving degenerate problems. Zbl 0684.65051
Belash, K. N.; Tret’yakov, A. A.
11
1988
Methods for solving degenerate problems. Zbl 0653.65039
Balash, K. N.; Tret’yakov, A. A.
2
1988
The implicit function theorem in degenerate problems. Zbl 0683.58008
Tret’yakov, A. A.
16
1987
The stabilizing properties of the gradient method. Zbl 0641.90063
Bereznëv, V. A.; Karmanov, V. G.; Tret’yakov, A. A.
2
1986
On stabilizing properties of the gradient method. Zbl 0613.90079
Bereznëv, V. A.; Karmanov, V. G.; Tret’yakov, A. A.
1
1986
The accelerated Newton method for the solution of functional equations. Zbl 0618.65048
Denisov, D. V.; Karmanov, V. G.; Tret’yakov, A. A.
1
1985
Necessary and sufficient conditions for optimality of P-th order. Zbl 0562.49013
Tret’yakov, A. A.
20
1984
Necessary and sufficient optimality conditions of p-th order. Zbl 0537.49009
Tret’yakov, A. A.
3
1984
Two schemes for a non-linear method of optimization in extremal problems. Zbl 0588.90080
Tret’yakov, A. A.
2
1984

Citations by Year