Alexey Tret'yakov

According to our database, Alexey Tret'yakov authored at least 20 papers between 2001 and 2023.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2023

On the Finite Complexity of Solutions in a Degenerate System of Quadratic Equations: Exact Formula.

Olga Brezhneva, Agnieszka Prusinska, Alexey Tret'yakov

Entropy, August, 2023

The pth-Order Karush-Kuhn-Tucker Type Optimality Conditions for Nonregular Inequality Constrained Optimization Problems.

Olga Brezhneva, Yuri Evtushenko, Vlasta Malkova, Alexey Tret'yakov

Proceedings of the Optimization and Applications - 14th International Conference, 2023

2022

Degenerate Equality Constrained Optimization Problems and P-Regularity Theory.

Olga Brezhneva, Yuri Evtushenko, Vlasta Malkova, Alexey Tret'yakov

Proceedings of the Optimization and Applications - 13th International Conference, 2022

2021

New perspective on some classical results in analysis and optimization.

Olga Brezhneva, Yuri G. Evtushenko, Alexey Tret'yakov

Optim. Methods Softw., 2021

On the Locally Polynomial Complexity of the Projection-Gradient Method for Solving Piecewise Quadratic Optimisation Problems.

Agnieszka Prusinska, Krzysztof Szkatula, Alexey Tret'yakov

Entropy, 2021

Exit from Singularity. New Optimization Methods and the p-Regularity Theory Applications.

Yuri Evtushenko, Vlasta Malkova, Alexey Tret'yakov

Proceedings of the Optimization and Applications - 12th International Conference, 2021

2020

P-Regularity Theory: Applications to Optimization.

Yuri Evtushenko, Vlasta Malkova, Alexey Tret'yakov

Proceedings of the Optimization and Applications - 11th International Conference, 2020

2019

Implicit function and tangent cone theorems for singular inclusions and applications to nonlinear programming.

Ewa M. Bednarczuk, Agnieszka Prusinska, Alexey Tret'yakov

Optim. Lett., 2019

2017

<i>p</i>-regular nonlinearity: tangency at singularity in degenerate optimization problems.

Ewa M. Bednarczuk, Alexey Tret'yakov

Math. Methods Oper. Res., 2017

When the Karush-Kuhn-Tucker Theorem Fails: Constraint Qualifications and Higher-Order Optimality Conditions for Degenerate Optimization Problems.

Olga Brezhneva, Alexey Tret'yakov

J. Optim. Theory Appl., 2017

2012

A short elementary proof of the Lagrange multiplier theorem.

Olga Brezhneva, Alexey Tret'yakov, Stephen E. Wright

Optim. Lett., 2012

2011

p-th Order Optimality Conditions for Singular Lagrange Problem in Calculus of Variations. Elements of p-Regularity Theory.

Agnieszka Prusinska, Ewa Szczepanik, Alexey Tret'yakov

Proceedings of the System Modeling and Optimization, 2011

2010

Corrigendum: Optimality Conditions for Degenerate Extremum Problems with Equality Constraints.

Olga Brezhneva, Alexey Tret'yakov

SIAM J. Control. Optim., 2010

2009

A simple and elementary proof of the Karush-Kuhn-Tucker theorem for inequality-constrained optimization.

Olga Brezhneva, Alexey Tret'yakov, Stephen E. Wright

Optim. Lett., 2009

Optimal in-place transposition of rectangular matrices.

Alexey Tret'yakov, E. E. Tyrtyshnikov

J. Complex., 2009

2005

P-Factor-Approach to Degenerate Optimization Problems.

Olga Brezhneva, Alexey Tret'yakov

Proceedings of the System Modeling and Optimization, 2005

2004

High-order extremal principles and P-factor penalty function method for solving irregular optimization problems.

Ewa Szczepanik, Alexey Tret'yakov

Ann. UMCS Informatica, 2004

2003

Optimality Conditions for Degenerate Extremum Problems with Equality Constraints.

Olga Brezhneva, Alexey Tret'yakov

SIAM J. Control. Optim., 2003

The p-th Order Necessary Optimality Conditions for Inequality-Constrained Optimization Problems.

Olga Brezhneva, Alexey Tret'yakov

Proceedings of the Computational Science and Its Applications, 2003

2001

Regularization of Linear Approximate Schemes by the Gradient Descent.

Alexey F. Izmailov, Vladimir G. Karmanov, Alexey Tret'yakov

SIAM J. Numer. Anal., 2001