This book brings together groundbreaking research papers authored by distinguished experts and scholars. Each contribution delves into innovative aspects of splitting optimization—ranging from theoretical advancements and methodological developments to a diverse array of applications. The book offers readers a comprehensive and cohesive overview of the current state of splitting optimization, while inspiring continued research and innovation in this dynamic field.
A trust region based splitting method for optimization problems with linear constraints.- Forward reflected backward method with extrapolation and linesearch for monotone inclusion problem.- Fast adaptive ADMM with Gaussian back substitution for multiple block linear constrainted seperable problems.- Inertial alternating direction method of multipliers with logarithmic-quadratic proximal regularization.- A class of augmented Lagrangian-type algorithms for solving generalized Nash equilibrium problems.
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