简介：为非强迫的优化在方法上介绍研究。学习的假设；主要结果；在简化Armijo类型下面的方法的集中性质衬里搜索。

简介：Theconjugategradientmethodforunconstrainedoptimizationproblemsvarieswithascalar.Inthisnote,ageneralconditionconcerningthescalarisgiven,whichensurestheglobalconvergenceofthemethodinthecaseofstrongWolfelinesearches.ItisalsodiscussedhowtousetheresulttoobtaintheconvergenceofthefamousFletcher-Reeves,andPolak-Ribiere-Polyakconjugategradientmethods.Thattheconditioncannotberelaxedinsomesenseismentioned.

简介：Themainpurposeofthispaperistoprovidearestartingdirectionforimprovingonthestandardconjugategradientmethod.Ifadrasticnon-quadraticbehaviouroftheobjectivefunctionisobservedintheneighbourofxk,thenarestartshouldbedone.Thescalingsymmetricrank-oneupdatewithDavidon’soptimalcriterionisappliedtogeneratetherestartingdirection.Itisprovedthattheconjugategradientmethodwiththisstrategyretainsthequadratictermination.Numericalexperimentsshowthatitissuccessful.

简介：为Hamiltonian微分方程的数字处理，symplectic综合者是最合适的选择，并且方法thal是结合一样到symplectic综合者份额好长期的行为。这笔记描绘线性多，方法是其内在的一步舞的步方法结合到一个symplectic综合者。寄生答案部件的围住的海角没被探讨。

简介：Somepropertiesofthepreconditionedgradientconjugatemethodaregiven.Itmayhappenthatlossofsignificantdigits,whenthenormofresidualisverysmall.Toavoidthis,avariantalgorithmwhichdoesnotusetheresidualisputforward.

简介：在这份报纸，我们在存在上解决一个问题结合线性多步方法(LMSM)的symplecticity，否定结果被获得。[从作者抽象]

简介：LetKbearight-continuousandnondecreasingfunction.AfunctionfanalyticintheunitdiskDbelongstothespaceDKifD|f(z)|2K(1-|z|2)dA(z)<∞.DecompositiontheoremsforDKspacesareestablishedinthispaper.Asanapplication,weobtainacharacterizationofinterpolationbyfunctionsinDKspaces.Furthermore,wecharacterizefunctionsinDKspacesbyconjugatepairs.

简介：Thispaperconsidersthefollowingquestion:GivenanAnosovendomorphismfonT~m,whetherfistopologicallyconjugatetosomehyperbolictotalendomorphism?ItiswellknownthattheanswerforAnosovdiffeomorphismsandexpandingendomorphismsisaffirmative.HweverfortheremainderAnosovendomorphisms,aquitedifferentanswerisobtainedinthispaper,i.e.,forgenericAnosovendomorphisms,theyarenottopologicallyconjugatetoanyhyperbolictoralendomorphism.

简介：Inthispaperweconsidertheglobalconvergenceofanyconjugategradientmethodoftheformd1=-g1,dk+1=-gk+1+βkdk(k≥1)withanyβksatisfyingsumeconditions,andwiththestrongwolfelinesearchconditions.Undertheconvexassumptionontheobjectivefunction,weprevethedescenfpropertyandtheglobalconvergenceofthismethod.

简介：Thispaperderivesfirstordernecessaryandsufficientconditionsforunconstrainedconed.c.Programmingproblemswheretheunderlinedspaceispartiallyorderedwithrespecttoacone.Theseconditionsaregivenintermsofdirectionalderivativesandsubdifferentialsofthecomponentfunctions.Moreover,conjugatedualityforconed.c.Optimizationisdiscussedandweakdualitytheoremisprovedinamoregeneralpartiallyorderedlineartopologicalvectorspace(generalizingtheresultsin[11]).

简介：preconditioned结合坡度deconvolution方法联合稀少的deconvolution和最佳的preconditioned的实现结合坡度方法转换到思考系数。这个方法能提高地震数据处理的频率并且拓宽有效频率带宽。就地震信号的变化时间的性质而言，我们在deconvolution期间用多尺度的变化时间的小浪代替经常的小浪。数字测试证明这个方法能获得好申请结果。

简介：APRP-typesmoothingconjugategradientmethodforsolvinglargescalenonlinearcomplementarityproblems(NCP(F))isproposed.Ateachiteration,twoArmijolinesearchesareperformed,whichguaranteesthepositivepropertyofthesmoothingparameterandminimizesthemeritfunctionformedbyFischer-Burmeisterfunction,respectively.GlobalconvergenceisstudiedwhenF:R~n→R~nisacontinuouslydifferentiableP_0+R_0function.Numericalresultsshowthatthemethodisefficient.

简介：这研究的目的是评估各种各样的格子的潜力令人满意地模仿一部冷却电影的发展，用考虑完整的几何学的acoupled计算。30度的单个排的详细计算在一个扁平的盘子上绕行洞为吹0.764，1.01和1.54的比率被介绍。模拟结果与试验性的数据被作比较很好。二层的模型给了更精确的结果，但是比标准墙工作的消费了更计算的时间。有有y+的适当的值的墙函数的k-蔚骚乱模型对实际使用合适。结果为精确地在冷却电影以内描述热转移的影响显示出conjugate计算的重要性。关键词拍摄冷却-结合热转移-刮的比率CLC数字TK124

简介：LetAbeann×nsymmetricpositivedefinitematrix,xbeann×1unknownvectorandb,ann×1givenvector.ConsiderlinearalgebricequationssystemAx=b.（1）MakeanincompleteCholeskyfactorizationofAA=LLT+R（2）whereLisalowertriangularmatrix.UseLwegetapreconditionedequationBy=dwhereB=L-1AL-T,y=LTxandd=L-1b.

简介：Arevisedconjugategradientprojectionmethodfornonlinearinequalityconstrainedoptimizationproblemsisproposedinthepaper,sincethesearchdirectionisthecombinationoftheconjugateprojectiongradientandthequasi-Newtondirection.Ithastwomerits.Theoneisthattheamountofcomputationislowerbecausethegradientmatrixonlyneedstobecomputedonetimeateachiteration.Theotheristhatthealgorithmisofglobalconvergenceandlocallysuperlinearconvergencewithoutstrictcomplementaryconditionundersomemildassumptions.Inadditionthesearchdirectionisexplicit.

简介：

简介：Anewkindofweight-A_γ~(λ3)(λ_1,λ_2,Ω)-weightisusedtoprovethelocalandglobalintegralinequalitiesforconjugateA-harmonictensors,whichcanberegardedasgeneralizationsoftheclassicalresults.Someapplicationsoftheaboveresultstoquasiregularmappingsaregiven.

简介：TwoArmijo-typelinesearchesareproposedinthispaperfornonlinearconjugategradientmethods.ThetwoArmijo-typelinesearchesareshowntoguaranteetheglobalconvergenceoftheDYmethodfortheunconstrainedminimizationofnonconvexdifferentiablefunctions.Further,ifthefunctionisstrictlyconvex,thetwoArmijo-typelinesearchesandanotherArmijo-typelinesearcharealsoshowntoguaranteetheconvergenceoftheDYmethod.

简介：

简介：与计算力量的开发，在那里，数据试穿的一个增加的焦点被联系了为高保真度的地震倒置技术地震速度模型和图象，例如完整波形的倒置和最少的广场移植。尽管更多比常规方法进展了，这些数据试穿方法不管多么能以计算费用是很昂贵的。最近，优化这些数据试穿的各种各样的技术地震倒置问题被实现了迎合对很改进的效率的工业需要。在这研究，我们建议一个将军随机为这些数据试穿结合坡度方法相关反的问题。我们首先规定我们的方法的基本理论然后给合成例子。我们的数字实验为大尺寸的地震倒置申请说明这个方法的潜力。