Matches in SemOpenAlex for { <https://semopenalex.org/work/W4285283990> ?p ?o ?g. }
Showing items 1 to 97 of
97
with 100 items per page.
- W4285283990 endingPage "3749" @default.
- W4285283990 startingPage "3742" @default.
- W4285283990 abstract "Finding a zero of a maximal monotone operator is fundamental in convex optimization and monotone operator theory, and proximal point algorithm (PPA) is a primary method for solving this problem. PPA converges not only globally under fairly mild conditions but also asymptotically at a fast linear rate provided that the underlying inverse operator is Lipschitz continuous at the origin. These nice convergence properties are preserved by a relaxed variant of PPA. Recently, a linear convergence bound was established in [M. Tao, and X. M. Yuan, J. Sci. Comput., 74 (2018), pp. 826-850] for the relaxed PPA, and it was shown that the bound is tight when the relaxation factor $ gamma $ lies in $ [1,2) $. However, for other choices of $ gamma $, the bound obtained by Tao and Yuan is suboptimal. In this paper, we establish tight linear convergence bounds for any choice of $ gammain(0,2) $ using a unified and much simplified analysis. These results sharpen our understandings to the asymptotic behavior of the relaxed PPA and make the whole picture for $ gammain(0,2) $ clear." @default.
- W4285283990 created "2022-07-14" @default.
- W4285283990 creator A5039055847 @default.
- W4285283990 creator A5068750984 @default.
- W4285283990 date "2023-01-01" @default.
- W4285283990 modified "2023-09-25" @default.
- W4285283990 title "A unified and tight linear convergence analysis of the relaxed proximal point algorithm" @default.
- W4285283990 doi "https://doi.org/10.3934/jimo.2022107" @default.
- W4285283990 hasPublicationYear "2023" @default.
- W4285283990 type Work @default.
- W4285283990 citedByCount "0" @default.
- W4285283990 crossrefType "journal-article" @default.
- W4285283990 hasAuthorship W4285283990A5039055847 @default.
- W4285283990 hasAuthorship W4285283990A5068750984 @default.
- W4285283990 hasBestOaLocation W42852839901 @default.
- W4285283990 hasConcept C104317684 @default.
- W4285283990 hasConcept C112680207 @default.
- W4285283990 hasConcept C11413529 @default.
- W4285283990 hasConcept C114614502 @default.
- W4285283990 hasConcept C118615104 @default.
- W4285283990 hasConcept C12715386 @default.
- W4285283990 hasConcept C127162648 @default.
- W4285283990 hasConcept C134306372 @default.
- W4285283990 hasConcept C15744967 @default.
- W4285283990 hasConcept C158448853 @default.
- W4285283990 hasConcept C162324750 @default.
- W4285283990 hasConcept C17020691 @default.
- W4285283990 hasConcept C185592680 @default.
- W4285283990 hasConcept C202444582 @default.
- W4285283990 hasConcept C207467116 @default.
- W4285283990 hasConcept C22324862 @default.
- W4285283990 hasConcept C2524010 @default.
- W4285283990 hasConcept C2776029896 @default.
- W4285283990 hasConcept C2777303404 @default.
- W4285283990 hasConcept C2834757 @default.
- W4285283990 hasConcept C28826006 @default.
- W4285283990 hasConcept C31258907 @default.
- W4285283990 hasConcept C33923547 @default.
- W4285283990 hasConcept C41008148 @default.
- W4285283990 hasConcept C50522688 @default.
- W4285283990 hasConcept C55493867 @default.
- W4285283990 hasConcept C57869625 @default.
- W4285283990 hasConcept C72169020 @default.
- W4285283990 hasConcept C77553402 @default.
- W4285283990 hasConcept C77805123 @default.
- W4285283990 hasConcept C86339819 @default.
- W4285283990 hasConceptScore W4285283990C104317684 @default.
- W4285283990 hasConceptScore W4285283990C112680207 @default.
- W4285283990 hasConceptScore W4285283990C11413529 @default.
- W4285283990 hasConceptScore W4285283990C114614502 @default.
- W4285283990 hasConceptScore W4285283990C118615104 @default.
- W4285283990 hasConceptScore W4285283990C12715386 @default.
- W4285283990 hasConceptScore W4285283990C127162648 @default.
- W4285283990 hasConceptScore W4285283990C134306372 @default.
- W4285283990 hasConceptScore W4285283990C15744967 @default.
- W4285283990 hasConceptScore W4285283990C158448853 @default.
- W4285283990 hasConceptScore W4285283990C162324750 @default.
- W4285283990 hasConceptScore W4285283990C17020691 @default.
- W4285283990 hasConceptScore W4285283990C185592680 @default.
- W4285283990 hasConceptScore W4285283990C202444582 @default.
- W4285283990 hasConceptScore W4285283990C207467116 @default.
- W4285283990 hasConceptScore W4285283990C22324862 @default.
- W4285283990 hasConceptScore W4285283990C2524010 @default.
- W4285283990 hasConceptScore W4285283990C2776029896 @default.
- W4285283990 hasConceptScore W4285283990C2777303404 @default.
- W4285283990 hasConceptScore W4285283990C2834757 @default.
- W4285283990 hasConceptScore W4285283990C28826006 @default.
- W4285283990 hasConceptScore W4285283990C31258907 @default.
- W4285283990 hasConceptScore W4285283990C33923547 @default.
- W4285283990 hasConceptScore W4285283990C41008148 @default.
- W4285283990 hasConceptScore W4285283990C50522688 @default.
- W4285283990 hasConceptScore W4285283990C55493867 @default.
- W4285283990 hasConceptScore W4285283990C57869625 @default.
- W4285283990 hasConceptScore W4285283990C72169020 @default.
- W4285283990 hasConceptScore W4285283990C77553402 @default.
- W4285283990 hasConceptScore W4285283990C77805123 @default.
- W4285283990 hasConceptScore W4285283990C86339819 @default.
- W4285283990 hasIssue "5" @default.
- W4285283990 hasLocation W42852839901 @default.
- W4285283990 hasOpenAccess W4285283990 @default.
- W4285283990 hasPrimaryLocation W42852839901 @default.
- W4285283990 hasRelatedWork W1962493159 @default.
- W4285283990 hasRelatedWork W2129848733 @default.
- W4285283990 hasRelatedWork W2804781295 @default.
- W4285283990 hasRelatedWork W2886062995 @default.
- W4285283990 hasRelatedWork W2962964459 @default.
- W4285283990 hasRelatedWork W3124596431 @default.
- W4285283990 hasRelatedWork W34599656 @default.
- W4285283990 hasRelatedWork W4210723636 @default.
- W4285283990 hasRelatedWork W4298181119 @default.
- W4285283990 hasRelatedWork W4300789549 @default.
- W4285283990 hasVolume "19" @default.
- W4285283990 isParatext "false" @default.
- W4285283990 isRetracted "false" @default.
- W4285283990 workType "article" @default.