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Global convergence of dislocation hyperbolic augmented Lagrangian algorithm for nonconvex optimization.

Title: Global convergence of dislocation hyperbolic augmented Lagrangian algorithm for nonconvex optimization.
Authors: Ramirez, Lennin Mallma; Maculan, Nelson; Xavier, Adilson Elias; Xavier, Vinicius Layter
Source: Optimization; Nov2025, Vol. 74 Issue 15, p3945-3966, 22p
Subject Terms: Nonconvex programming; Constrained optimization; Optimization algorithms; Constraint satisfaction; Mathematical optimization; Computer simulation
Abstract: In this work, we present a new augmented Lagrangian type algorithm based on the dislocation hyperbolic augmented Lagrangian function (DHALF). This algorithm is called dislocation hyperbolic augmented Lagrangian algorithm (DHALA). We ensure that DHALA converges to a global solution for the inequality constrained nonconvex optimization problem. We present DHALA considering the safeguards technique and ensure the convergence of this algorithm. Finally, we present a computational experiment to show the performance of our proposed algorithm. [ABSTRACT FROM AUTHOR]
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Database: Complementary Index