Matches in SemOpenAlex for { <https://semopenalex.org/work/W4229038051> ?p ?o ?g. }
Showing items 1 to 90 of
90
with 100 items per page.
- W4229038051 abstract "The augmented Lagrangian method (ALM) is classic for canonical convex programming problems with linear constraints, and it finds many applications in various scientific computing areas. A major advantage of the ALM is that the step for updating the dual variable can be further relaxed with a step size in $(0,2)$, and this advantage can easily lead to numerical acceleration for the ALM. When a separable convex programming problem is discussed and a corresponding splitting version of the classic ALM is considered, convergence may not be guaranteed and thus it is seemingly impossible that a step size in $(0,2)$ can be carried on to the relaxation step for updating the dual variable. We show that for a parallel splitting version of the ALM, a step size in $(0,2)$ can be maintained for further relaxing both the primal and dual variables if the relaxation step is simply corrected by a rank-two matrix. Hence, a rank-two relaxed parallel splitting version of the ALM with a step size in $(0,2)$ is proposed for separable convex programming problems. We validate that the new algorithm can numerically outperform existing algorithms of the same kind significantly by testing some applications." @default.
- W4229038051 created "2022-05-08" @default.
- W4229038051 creator A5039946576 @default.
- W4229038051 creator A5048246599 @default.
- W4229038051 creator A5049837766 @default.
- W4229038051 creator A5070962258 @default.
- W4229038051 date "2022-05-05" @default.
- W4229038051 modified "2023-10-16" @default.
- W4229038051 title "A rank-two relaxed parallel splitting version of the augmented Lagrangian method with step size in (0,2) for separable convex programming" @default.
- W4229038051 doi "https://doi.org/10.48550/arxiv.2205.02723" @default.
- W4229038051 hasPublicationYear "2022" @default.
- W4229038051 type Work @default.
- W4229038051 citedByCount "0" @default.
- W4229038051 crossrefType "posted-content" @default.
- W4229038051 hasAuthorship W4229038051A5039946576 @default.
- W4229038051 hasAuthorship W4229038051A5048246599 @default.
- W4229038051 hasAuthorship W4229038051A5049837766 @default.
- W4229038051 hasAuthorship W4229038051A5070962258 @default.
- W4229038051 hasBestOaLocation W42290380511 @default.
- W4229038051 hasConcept C106487976 @default.
- W4229038051 hasConcept C112680207 @default.
- W4229038051 hasConcept C11413529 @default.
- W4229038051 hasConcept C114614502 @default.
- W4229038051 hasConcept C117896860 @default.
- W4229038051 hasConcept C121332964 @default.
- W4229038051 hasConcept C126255220 @default.
- W4229038051 hasConcept C134306372 @default.
- W4229038051 hasConcept C150452318 @default.
- W4229038051 hasConcept C15744967 @default.
- W4229038051 hasConcept C157972887 @default.
- W4229038051 hasConcept C159985019 @default.
- W4229038051 hasConcept C162324750 @default.
- W4229038051 hasConcept C164226766 @default.
- W4229038051 hasConcept C182365436 @default.
- W4229038051 hasConcept C192562407 @default.
- W4229038051 hasConcept C2524010 @default.
- W4229038051 hasConcept C2776029896 @default.
- W4229038051 hasConcept C2777303404 @default.
- W4229038051 hasConcept C28826006 @default.
- W4229038051 hasConcept C33923547 @default.
- W4229038051 hasConcept C41008148 @default.
- W4229038051 hasConcept C41045048 @default.
- W4229038051 hasConcept C50522688 @default.
- W4229038051 hasConcept C70710897 @default.
- W4229038051 hasConcept C74650414 @default.
- W4229038051 hasConcept C77805123 @default.
- W4229038051 hasConceptScore W4229038051C106487976 @default.
- W4229038051 hasConceptScore W4229038051C112680207 @default.
- W4229038051 hasConceptScore W4229038051C11413529 @default.
- W4229038051 hasConceptScore W4229038051C114614502 @default.
- W4229038051 hasConceptScore W4229038051C117896860 @default.
- W4229038051 hasConceptScore W4229038051C121332964 @default.
- W4229038051 hasConceptScore W4229038051C126255220 @default.
- W4229038051 hasConceptScore W4229038051C134306372 @default.
- W4229038051 hasConceptScore W4229038051C150452318 @default.
- W4229038051 hasConceptScore W4229038051C15744967 @default.
- W4229038051 hasConceptScore W4229038051C157972887 @default.
- W4229038051 hasConceptScore W4229038051C159985019 @default.
- W4229038051 hasConceptScore W4229038051C162324750 @default.
- W4229038051 hasConceptScore W4229038051C164226766 @default.
- W4229038051 hasConceptScore W4229038051C182365436 @default.
- W4229038051 hasConceptScore W4229038051C192562407 @default.
- W4229038051 hasConceptScore W4229038051C2524010 @default.
- W4229038051 hasConceptScore W4229038051C2776029896 @default.
- W4229038051 hasConceptScore W4229038051C2777303404 @default.
- W4229038051 hasConceptScore W4229038051C28826006 @default.
- W4229038051 hasConceptScore W4229038051C33923547 @default.
- W4229038051 hasConceptScore W4229038051C41008148 @default.
- W4229038051 hasConceptScore W4229038051C41045048 @default.
- W4229038051 hasConceptScore W4229038051C50522688 @default.
- W4229038051 hasConceptScore W4229038051C70710897 @default.
- W4229038051 hasConceptScore W4229038051C74650414 @default.
- W4229038051 hasConceptScore W4229038051C77805123 @default.
- W4229038051 hasLocation W42290380511 @default.
- W4229038051 hasLocation W42290380512 @default.
- W4229038051 hasOpenAccess W4229038051 @default.
- W4229038051 hasPrimaryLocation W42290380511 @default.
- W4229038051 hasRelatedWork W2045367737 @default.
- W4229038051 hasRelatedWork W2090128564 @default.
- W4229038051 hasRelatedWork W2131718214 @default.
- W4229038051 hasRelatedWork W2152713700 @default.
- W4229038051 hasRelatedWork W2328705844 @default.
- W4229038051 hasRelatedWork W2374839191 @default.
- W4229038051 hasRelatedWork W2620834727 @default.
- W4229038051 hasRelatedWork W4283394093 @default.
- W4229038051 hasRelatedWork W4372359660 @default.
- W4229038051 hasRelatedWork W4378473943 @default.
- W4229038051 isParatext "false" @default.
- W4229038051 isRetracted "false" @default.
- W4229038051 workType "article" @default.