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SUMMARY:Patrick L. Combettes (North Carolina State University)
DTSTART:20200525T130000Z
DTEND:20200525T140000Z
DTSTAMP:20260423T035033Z
UID:OWOS/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWOS/8/">Bac
 k to single-resolvent Iterations\, with warping</a>\nby Patrick L. Combett
 es (North Carolina State University) as part of One World Optimization sem
 inar\n\n\nAbstract\nThe scope of the classical proximal point algorithm fo
 r finding a zero of a monotone operator may seem rather limited. For this 
 reason\, the field of operator splitting has moved away from single-resolv
 ent iterations and significantly expanded in various directions. We introd
 uce 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 class
 es of splitting methods. The discussion will include Bregman-based splitti
 ng in reflexive spaces\, primal-dual methods\, inertial methods\, systems 
 of monotone inclusions\, and best approximation methods.\n\nBased on prepr
 ints and on-going work with M. N. Bui.\n\nthe address and password of the 
 zoom room of the seminar are sent by e-mail on the mailinglist of the semi
 nar one day before each talk\n
LOCATION:https://researchseminars.org/talk/OWOS/8/
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