Matches in SemOpenAlex for { <https://semopenalex.org/work/W4221157524> ?p ?o ?g. }
Showing items 1 to 79 of
79
with 100 items per page.
- W4221157524 abstract "This paper deals with a second order dynamical system with vanishing damping that contains a Tikhonov regularization term, in connection to the minimization problem of a convex Fr'echet differentiable function $g$. We show that for appropriate Tikhonov regularization parameters the value of the objective function in a generated trajectory converges fast to the global minimum of the objective function and a trajectory generated by the dynamical system converges weakly to a minimizer of the objective function. We also obtain the fast convergence of the velocities towards zero and some integral estimates. Nevertheless, our main goal is to extend and improve some recent results obtained in cite{ABCR} and cite{AL-nemkoz} concerning the strong convergence of the generated trajectories to an element of minimal norm from the $argmin$ set of the objective function $g$. Our analysis also reveals that the damping coefficient and the Tikhonov regularization coefficient are strongly correlated." @default.
- W4221157524 created "2022-04-03" @default.
- W4221157524 creator A5091770637 @default.
- W4221157524 date "2022-02-16" @default.
- W4221157524 modified "2023-09-29" @default.
- W4221157524 title "On the strong convergence of the trajectories of a Tikhonov regularized second order dynamical system with asymptotically vanishing damping" @default.
- W4221157524 doi "https://doi.org/10.48550/arxiv.2202.08980" @default.
- W4221157524 hasPublicationYear "2022" @default.
- W4221157524 type Work @default.
- W4221157524 citedByCount "0" @default.
- W4221157524 crossrefType "posted-content" @default.
- W4221157524 hasAuthorship W4221157524A5091770637 @default.
- W4221157524 hasBestOaLocation W42211575241 @default.
- W4221157524 hasConcept C112680207 @default.
- W4221157524 hasConcept C121332964 @default.
- W4221157524 hasConcept C134306372 @default.
- W4221157524 hasConcept C135252773 @default.
- W4221157524 hasConcept C14036430 @default.
- W4221157524 hasConcept C141718189 @default.
- W4221157524 hasConcept C145446738 @default.
- W4221157524 hasConcept C152442038 @default.
- W4221157524 hasConcept C154945302 @default.
- W4221157524 hasConcept C162324750 @default.
- W4221157524 hasConcept C17744445 @default.
- W4221157524 hasConcept C191795146 @default.
- W4221157524 hasConcept C199539241 @default.
- W4221157524 hasConcept C202615002 @default.
- W4221157524 hasConcept C2524010 @default.
- W4221157524 hasConcept C2776135515 @default.
- W4221157524 hasConcept C2777303404 @default.
- W4221157524 hasConcept C28826006 @default.
- W4221157524 hasConcept C33923547 @default.
- W4221157524 hasConcept C41008148 @default.
- W4221157524 hasConcept C50522688 @default.
- W4221157524 hasConcept C62520636 @default.
- W4221157524 hasConcept C78458016 @default.
- W4221157524 hasConcept C79379906 @default.
- W4221157524 hasConcept C86803240 @default.
- W4221157524 hasConceptScore W4221157524C112680207 @default.
- W4221157524 hasConceptScore W4221157524C121332964 @default.
- W4221157524 hasConceptScore W4221157524C134306372 @default.
- W4221157524 hasConceptScore W4221157524C135252773 @default.
- W4221157524 hasConceptScore W4221157524C14036430 @default.
- W4221157524 hasConceptScore W4221157524C141718189 @default.
- W4221157524 hasConceptScore W4221157524C145446738 @default.
- W4221157524 hasConceptScore W4221157524C152442038 @default.
- W4221157524 hasConceptScore W4221157524C154945302 @default.
- W4221157524 hasConceptScore W4221157524C162324750 @default.
- W4221157524 hasConceptScore W4221157524C17744445 @default.
- W4221157524 hasConceptScore W4221157524C191795146 @default.
- W4221157524 hasConceptScore W4221157524C199539241 @default.
- W4221157524 hasConceptScore W4221157524C202615002 @default.
- W4221157524 hasConceptScore W4221157524C2524010 @default.
- W4221157524 hasConceptScore W4221157524C2776135515 @default.
- W4221157524 hasConceptScore W4221157524C2777303404 @default.
- W4221157524 hasConceptScore W4221157524C28826006 @default.
- W4221157524 hasConceptScore W4221157524C33923547 @default.
- W4221157524 hasConceptScore W4221157524C41008148 @default.
- W4221157524 hasConceptScore W4221157524C50522688 @default.
- W4221157524 hasConceptScore W4221157524C62520636 @default.
- W4221157524 hasConceptScore W4221157524C78458016 @default.
- W4221157524 hasConceptScore W4221157524C79379906 @default.
- W4221157524 hasConceptScore W4221157524C86803240 @default.
- W4221157524 hasLocation W42211575241 @default.
- W4221157524 hasOpenAccess W4221157524 @default.
- W4221157524 hasPrimaryLocation W42211575241 @default.
- W4221157524 hasRelatedWork W1972710885 @default.
- W4221157524 hasRelatedWork W2164770143 @default.
- W4221157524 hasRelatedWork W2313962057 @default.
- W4221157524 hasRelatedWork W2379568291 @default.
- W4221157524 hasRelatedWork W2510911034 @default.
- W4221157524 hasRelatedWork W2726385523 @default.
- W4221157524 hasRelatedWork W2805921369 @default.
- W4221157524 hasRelatedWork W3191545112 @default.
- W4221157524 hasRelatedWork W4221157524 @default.
- W4221157524 hasRelatedWork W4287062219 @default.
- W4221157524 isParatext "false" @default.
- W4221157524 isRetracted "false" @default.
- W4221157524 workType "article" @default.