Titlebook: Splitting Algorithms, Modern Operator Theory, and Applications; Heinz H. Bauschke,Regina S. Burachik,D. Russell Lu Book 2019 Springer Natu

省略

Variable Metric ADMM for Solving Variational Inequalities with Monotone Operators over Affine Sets,her with some of its variants, are encompassed by the proposed numerical scheme. Furthermore, we carry out a convergence analysis of the generated iterates and provide convergence rates by using suitable dynamical step sizes together with variable metric techniques.

夸张

AUGER

Limpid

Non-polyhedral Extensions of the Frank and Wolfe Theorem,rk we search for larger classes of sets . with this Frank-and-Wolfe property. We establish the existence of non-polyhedral Frank-and-Wolfe sets, obtain internal characterizations by way of asymptotic properties, and investigate stability of the Frank-and-Wolfe class under various operations.

招人嫉妒

A Note on the Equivalence of Operator Splitting Methods,s which have been studied over the past few decades. In particular, we provide simplified proofs of the equivalence of the ADMM and the Douglas–Rachford method and the equivalence of the ADMM with intermediate update of multipliers and the Peaceman–Rachford method.

Condense

适宜

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愤愤不平

使苦恼

Variable Metric Algorithms Driven by Averaged Operators,The convergence of a new general variable metric algorithm based on compositions of averaged operators is established. Applications to monotone operator splitting are presented.

姑姑在炫耀

A Survey on Proximal Point Type Algorithms for Solving Vector Optimization Problems,In this survey paper we present the existing generalizations of the proximal point method from scalar to vector optimization problems, discussing some of their advantages and drawbacks, respectively, presenting some open challenges and sketching some possible directions for future research.