4 papers
Douglas--Rachford for multioperator comonotone inclusions with applications to multiblock optimization
Jan Harold Alcantara, Minh N. Dao, Akiko Takeda
We study the convergence of the adaptive Douglas--Rachford (aDR) algorithm for solving a multioperator inclusion problem involving the sum of maximally comonotone operators. To add…
A relaxed version of Ryu's three-operator splitting method for structured nonconvex optimization
Jan Harold Alcantara, Felipe Atenas
In this work, we propose a modification of Ryu's splitting algorithm for minimizing the sum of three functions, where two of them are convex with Lipschitz continuous gradients, an…
Douglas--Rachford algorithm for nonmonotone multioperator inclusion problems
Jan Harold Alcantara, Akiko Takeda
The Douglas--Rachford algorithm is a classic splitting method for finding a zero of the sum of two maximal monotone operators. It has also been applied to settings that involve one…
Method of Alternating Projection for the Absolute Value Equation
Jan Harold Alcantara, Jein-Shan Chen, Matthew K. Tam
A novel approach for solving the general absolute value equation where and is presented. We reformulate the equati…