Alexey Tret'yakov

Publication Activity (10 Years)

Years Active: 2001-2023
Publications (10 Years): 10

Top Topics

Nonlinear Programming

Optimization Methods

Optimization Problems

Top Venues

J. Optim. Theory Appl.

Math. Methods Oper. Res.

Publications

Olga Brezhneva, Yuri Evtushenko, Vlasta Malkova, Alexey Tret'yakov
The pth-Order Karush-Kuhn-Tucker Type Optimality Conditions for Nonregular Inequality Constrained Optimization Problems. OPTIMA (2023)
Olga Brezhneva, Agnieszka Prusinska, Alexey Tret'yakov
On the Finite Complexity of Solutions in a Degenerate System of Quadratic Equations: Exact Formula. Entropy 25 (8) (2023)
Olga Brezhneva, Yuri Evtushenko, Vlasta Malkova, Alexey Tret'yakov
Degenerate Equality Constrained Optimization Problems and P-Regularity Theory. OPTIMA (2022)
Agnieszka Prusinska, Krzysztof Szkatula, Alexey Tret'yakov
On the Locally Polynomial Complexity of the Projection-Gradient Method for Solving Piecewise Quadratic Optimisation Problems. Entropy 23 (4) (2021)
Yuri Evtushenko, Vlasta Malkova, Alexey Tret'yakov
Exit from Singularity. New Optimization Methods and the p-Regularity Theory Applications. OPTIMA (2021)
Olga Brezhneva, Yuri G. Evtushenko, Alexey Tret'yakov
New perspective on some classical results in analysis and optimization. Optim. Methods Softw. 36 (4) (2021)
Yuri Evtushenko, Vlasta Malkova, Alexey Tret'yakov
P-Regularity Theory: Applications to Optimization. OPTIMA (2020)
Ewa M. Bednarczuk, Agnieszka Prusinska, Alexey Tret'yakov
Implicit function and tangent cone theorems for singular inclusions and applications to nonlinear programming. Optim. Lett. 13 (8) (2019)
Ewa M. Bednarczuk, Alexey Tret'yakov
-regular nonlinearity: tangency at singularity in degenerate optimization problems. Math. Methods Oper. Res. 86 (3) (2017)
Olga Brezhneva, Alexey Tret'yakov
When the Karush-Kuhn-Tucker Theorem Fails: Constraint Qualifications and Higher-Order Optimality Conditions for Degenerate Optimization Problems. J. Optim. Theory Appl. 174 (2) (2017)
Olga Brezhneva, Alexey Tret'yakov, Stephen E. Wright
A short elementary proof of the Lagrange multiplier theorem. Optim. Lett. 6 (8) (2012)
Agnieszka Prusinska, Ewa Szczepanik, Alexey Tret'yakov
p-th Order Optimality Conditions for Singular Lagrange Problem in Calculus of Variations. Elements of p-Regularity Theory. System Modelling and Optimization (2011)
Olga Brezhneva, Alexey Tret'yakov
Corrigendum: Optimality Conditions for Degenerate Extremum Problems with Equality Constraints. SIAM J. Control. Optim. 48 (5) (2010)
Alexey Tret'yakov, E. E. Tyrtyshnikov
Optimal in-place transposition of rectangular matrices. J. Complex. 25 (4) (2009)
Olga Brezhneva, Alexey Tret'yakov, Stephen E. Wright
A simple and elementary proof of the Karush-Kuhn-Tucker theorem for inequality-constrained optimization. Optim. Lett. 3 (1) (2009)
Olga Brezhneva, Alexey Tret'yakov
P-Factor-Approach to Degenerate Optimization Problems. System Modelling and Optimization (2005)
Ewa Szczepanik, Alexey Tret'yakov
High-order extremal principles and P-factor penalty function method for solving irregular optimization problems. Ann. UMCS Informatica 2 (1) (2004)
Olga Brezhneva, Alexey Tret'yakov
Optimality Conditions for Degenerate Extremum Problems with Equality Constraints. SIAM J. Control. Optim. 42 (2) (2003)
Olga Brezhneva, Alexey Tret'yakov
The p-th Order Necessary Optimality Conditions for Inequality-Constrained Optimization Problems. ICCSA (1) (2003)
Alexey F. Izmailov, Vladimir G. Karmanov, Alexey Tret'yakov
Regularization of Linear Approximate Schemes by the Gradient Descent. SIAM J. Numer. Anal. 39 (1) (2001)