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Convergence Analysis of the Alternating Anderson-Picard Method for Nonlinear Fixed-point Problems

Convergence Analysis of the Alternating Anderson-Picard Method for Nonlinear Fixed-point Problems

Anderson Acceleration (AA) has been widely used to solve nonlinear fixed-point problems due to its rapid convergence. This work focuses on a variant of AA in which multiple Picard iterations are performed between each AA step, referred to as the Alternating Anderson-Picard (AAP) method. Despite introducing more 'slow' Picard iterations, …