Regularization of Linear Approximate Schemes by the Gradient Descent. - Alexey F. Izmailov; Vladimir G. Karmanov; Alexey Tret'yakov (SIAM J. Numer. Anal., 2001)

The p-th Order Necessary Optimality Conditions for Inequality-Constrained Optimization Problems. - Olga Brezhneva; Alexey Tret'yakov (ICCSA (1), 2003)

Optimality Conditions for Degenerate Extremum Problems with Equality Constraints. - Olga Brezhneva; Alexey Tret'yakov (SIAM J. Control. Optim., 2003)

High-order extremal principles and P-factor penalty function method for solving irregular optimization problems. - Ewa Szczepanik; Alexey Tret'yakov (Ann. UMCS Informatica, 2004)

P-Factor-Approach to Degenerate Optimization Problems. - Olga Brezhneva; Alexey Tret'yakov (System Modelling and Optimization, 2005)

Optimal in-place transposition of rectangular matrices. - Alexey Tret'yakov; E. E. Tyrtyshnikov (J. Complex., 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)

Corrigendum: Optimality Conditions for Degenerate Extremum Problems with Equality Constraints. - Olga Brezhneva; Alexey Tret'yakov (SIAM J. Control. Optim., 2010)

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 (System Modelling and Optimization, 2011)

A short elementary proof of the Lagrange multiplier theorem. - Olga Brezhneva; Alexey Tret'yakov; Stephen E. Wright (Optim. Lett., 2012)

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)

p-regular nonlinearity: tangency at singularity in degenerate optimization problems. - Ewa M. Bednarczuk; Alexey Tret'yakov (Math. Methods Oper. Res., 2017)

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)

P-Regularity Theory: Applications to Optimization. - Yuri Evtushenko; Vlasta Malkova; Alexey Tret'yakov (OPTIMA, 2020)

Exit from Singularity. New Optimization Methods and the p-Regularity Theory Applications. - Yuri Evtushenko; Vlasta Malkova; Alexey Tret'yakov (OPTIMA, 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)

New perspective on some classical results in analysis and optimization. - Olga Brezhneva; Yuri G. Evtushenko; Alexey Tret'yakov (Optim. Methods Softw., 2021)

Degenerate Equality Constrained Optimization Problems and P-Regularity Theory. - Olga Brezhneva; Yuri Evtushenko; Vlasta Malkova; Alexey Tret'yakov (OPTIMA, 2022)

The pth-Order Karush-Kuhn-Tucker Type Optimality Conditions for Nonregular Inequality Constrained Optimization Problems. - Olga Brezhneva; Yuri Evtushenko; Vlasta Malkova; Alexey Tret'yakov (OPTIMA, 2023)

On the Finite Complexity of Solutions in a Degenerate System of Quadratic Equations: Exact Formula. - Olga Brezhneva; Agnieszka Prusinska; Alexey Tret'yakov (Entropy, 2023)

Singular Optimization Problems and p-Factor Approach for Their Analysis. - Olga Brezhneva; Yuri Evtushenko; Vlasta Malkova; Alexey Tret'yakov (OPTIMA, 2024)