looseningrelaxation
Looseningrelaxation is a term used in optimization and computational methods to describe a hybrid strategy that combines loosening of constraints with relaxation of updates to improve convergence and solution quality. The concept is not standardized, but appears in discussions of hybrid algorithms where the feasible region is temporarily expanded and iterates are smoothed to avoid instability.
Definition and scope: In looseningrelaxation approaches, an optimization problem is solved in stages that alternately widen
Algorithmic framework: A typical workflow involves initializing with looser constraints or smaller penalty weights, performing iterative
Relationship to other methods: Looseningrelaxation shares lineage with continuation or homotopy methods, penalty methods, and under-relaxation
Applications and limitations: Potential applications include engineering optimization, scheduling, resource allocation, and design problems where complex