简介:Thealternatingdirectionmethodofmultipliers(ADMMforshort)isefficientforlinearlyconstrainedconvexoptimizationproblem.ThepracticalcomputationalcostofADMMdependsonthesub-problemsolvers.Theproximalpointalgorithmisacommonsub-problem-solver.However,theproximalparameterissensitiveintheproximalADMM.Inthispaper,weproposeahomotopy-basedproximallinearizedADMM,inwhichahomotopymethodisusedtosolvethesub-problemsateachiteration.Undersomesuitableconditions,theglobalconvergenceandtheconvergencerateofO(1/k)intheworstcaseoftheproposedmethodareproven.Somepreliminarynumericalresultsindicatethevalidityoftheproposedmethod.
简介:Inthispaper,weintroducethereducedmatrixinkqrepresentationandprovidethereducedmatrixelementsofaprojectionoperatorPontherationalnoncommutativeorbifoldT2/Z4.wegivetheclosedformfortheprojectorbyJacobiellipticalfunctions.Sinceprojectorscorrespondtosolitonsolutionsofthefieldtheoryonthenoncommutativeorbifold,wethuspresentacorrespondingsolitonsolution.
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