000130410 001__ 130410
000130410 005__ 20240125162930.0
000130410 0247_ $$2doi$$a10.1016/j.cam.2017.07.037
000130410 0248_ $$2sideral$$a101551
000130410 037__ $$aART-2018-101551
000130410 041__ $$aeng
000130410 100__ $$aSun, T.
000130410 245__ $$aPrecompact convergence of the nonconvex Primal–Dual Hybrid Gradient algorithm
000130410 260__ $$c2018
000130410 5060_ $$aAccess copy available to the general public$$fUnrestricted
000130410 5203_ $$aThe Primal–Dual Hybrid Gradient (PDHG) algorithm is a powerful algorithm used quite frequently in recent years for solving saddle-point optimization problems. The classical application considers convex functions, and it is well studied in literature. In this paper, we consider the convergence of an alternative formulation of the PDHG algorithm in the nonconvex case under the precompact assumption. The proofs are based on the Kurdyka–L ojasiewic functions, that cover a wide range of problems. A simple numerical experiment illustrates the convergence properties.
000130410 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E48$$9info:eu-repo/grantAgreement/ES/MINECO-FEDER/MTM2015-64095-P
000130410 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000130410 590__ $$a1.883$$b2018
000130410 591__ $$aMATHEMATICS, APPLIED$$b47 / 254 = 0.185$$c2018$$dQ1$$eT1
000130410 592__ $$a0.849$$b2018
000130410 593__ $$aComputational Mathematics$$c2018$$dQ2
000130410 593__ $$aApplied Mathematics$$c2018$$dQ2
000130410 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/submittedVersion
000130410 700__ $$0(orcid)0000-0002-8089-343X$$aBarrio, R.$$uUniversidad de Zaragoza
000130410 700__ $$aCheng, L.
000130410 700__ $$aJiang, H.
000130410 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000130410 773__ $$g330 (2018), 15-27$$pJ. comput. appl. math.$$tJournal of Computational and Applied Mathematics$$x0377-0427
000130410 8564_ $$s150028$$uhttps://zaguan.unizar.es/record/130410/files/texto_completo.pdf$$yPreprint
000130410 8564_ $$s1288212$$uhttps://zaguan.unizar.es/record/130410/files/texto_completo.jpg?subformat=icon$$xicon$$yPreprint
000130410 909CO $$ooai:zaguan.unizar.es:130410$$particulos$$pdriver
000130410 951__ $$a2024-01-25-15:08:27
000130410 980__ $$aARTICLE