Эффективный метод обратного барьера для нелинейной оптимизации

In this paper, we use a new variant of inverse barrier method to solve a nonlinear optimization problem. The new inverse barrier function depends on the components of the penalty vector and preserves the properties of the original problem. The descent direction is calculated using Newton’s method, while the step size is calculated using the tangent technique and the backtracking with interpolation technique in parallel with Wolfe’s method

Publication Details

Journal
SibFU Digital Repository (Siberian Federal University)
Published
2025-12-04
Primary Topic
Differential Equations and Numerical Methods
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article
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article

Эффективный метод обратного барьера для нелинейной оптимизации

SibFU Digital Repository (Siberian Federal University)
Differential Equations and Numerical Methods
article

Эффективный метод обратного барьера для нелинейной оптимизации

article en

Abstract

In this paper, we use a new variant of inverse barrier method to solve a nonlinear optimization problem. The new inverse barrier function depends on the components of the penalty vector and preserves the properties of the original problem. The descent direction is calculated using Newton’s method, while the step size is calculated using the tangent technique and the backtracking with interpolation technique in parallel with Wolfe’s method

SibFU Digital Repository (Siberian Federal University)
Openalex Percentile: Top 29%
Differential Equations and Numerical Methods
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Эффективный метод обратного барьера для нелинейной оптимизации · SibFU Digital Repository (Siberian Federal University) (2025) | TGRS Research Map | TGRS