Back to single-resolvent Iterations, with warping
Patrick L. Combettes (North Carolina State University)
Abstract: The scope of the classical proximal point algorithm for finding a zero of a monotone operator may seem rather limited. For this reason, the field of operator splitting has moved away from single-resolvent iterations and significantly expanded in various directions. We introduce a generalization of the standard resolvent, called warped resolvent, which is constructed with the help of an auxiliary operator. This notion will be shown to be a central tool which not only underlies a broad range of existing algorithms, but also serves as a platform to design new classes of splitting methods. The discussion will include Bregman-based splitting in reflexive spaces, primal-dual methods, inertial methods, systems of monotone inclusions, and best approximation methods.
Based on preprints and on-going work with M. N. Bui.
optimization and control
Audience: researchers in the topic
Comments: the address and password of the zoom room of the seminar are sent by e-mail on the mailinglist of the seminar one day before each talk
One World Optimization seminar
Series comments: Description: Online seminar on optimization and related areas
The address and password of the zoom room of the seminar are sent by e-mail on the mailinglist of the seminar one day before each talk
Organizers: | Sorin-Mihai Grad*, Radu Ioan BoČ›, Shoham Sabach, Mathias Staudigl |
*contact for this listing |