简介：Densitystratifiedflowwithboththeverticaltemperaturegradientandtheverti-calsalinitygradientissimulatednumerically,inwhichturbulenttermsarecalculatedbyasim-plifiedturbulencestress/fluxalgebraicmodel.Thefeatureofstratificationandturbulenceisde-scribedcorrectlybythemodel.Thecomputationalresultsagreewellwiththeexperimentaldata.However,thek-eturbulencemodelisnotsosuccessful.

简介：作者学习Helfrich的L2坡度流动功能，它是功能的描述人的红血房间的形状。为任何i0并且c0，作者在光滑的答案的lifespan上获得更低的界限，它为起始的表面仅仅取决于弯曲的集中。

简介：为紧张坡度的一个无限的平板，敏感材料使遭到了到飞机紧张张力的装载，建立的计算和分析证实在装载的一些舞台的侧面的边界的那钝化在进一步的装载之上禁止塑料变丑。除了显著地，如果坡度术语贡献驱散，塑料变丑完全被关上并且仅仅在清楚地定义的更高的负担恢复之外，这结果在自己是不令人吃惊的，相应于全部的紧张\(\varepsilon_c\)，说。在这份报纸介绍的分析证实塑料变丑追随者钝化的延期并且决定塑料流动在恢复的准确方式。塑料紧张率在塑料流动的恢复的准确的点\(\varepsilon_c\)是连续的并且为在强加的全部的紧张的第一小增长\(\Delta\varepsilon=\varepsilon-\varepsilon_c\)，在塑料的相应增长紧张，\(\Delta\varepsilon^\mathrm{p}\)，与\成正比((\Delta\varepsilon)^2\)。在关系\的经常的A(\Delta\varepsilon^\mathrm{p}(0)=A(\Delta\varepsilon)^2\)，在此\(\Delta\varepsilon^\mathrm{p}(0)\)在平板的中心表示塑料紧张增长，明确地被决定了；它取决于材料的变硬的模量。除非消散的术语是不在的，精力充沛的坡度术语的存在没在\(\varepsilon_c\)的价值上有效果，在哪个情况钝化减少塑料变丑的率，但是不介绍延期。消散的坡度术语的这质的效果打开他们的存在或缺席的试验性的辨别的可能性。分析采用是可能的处于另外的问题发现使用的增长变化明确的表达。

简介：Thissurveyreviewstherecentdevelopmentofgradientdomainmeshdeformationmethod.Differenttootherdeformationmethods,thegradientdomaindeformationmethodisasurface-based,variationaloptimizationmethod.Itdirectlyencodesthegeometricdetailsindifferentialcoordinates,whicharealsocalledLaplaciancoordinatesinliterature.BypreservingtheLaplaciancoordinates,themeshdetailscanbewellpreservedduringdeformation.DuetothelocalityoftheLaplaciancoordinates,thevariationaloptimizationproblemcanbecastedintoasparselinearsystem.Fastsparselinearsolvercanbeadoptedtogeneratedeformationresultinteractively,oreveninreal-time.Thenonlinearnatureofgradientdomainmeshdeformationleadstothedevelopmentoftwocategoriesofdeformationmethods:linearizationmethodsandnonlinearoptimizationmethods.Basically,thelinearizationmethodsonlyneedtosolvethelinearleast-squaressystemonce.Theyarefast,easytounderstandandcontrol,whilethedeformationresultmightbesuboptimal.Nonlinearoptimizationmethodscanreachoptimalsolutionofdeformationenergyfunctionbyiterativeupdating.Sincethecomputationofnonlinearmethodsisexpensive,reduceddeformablemodelsshouldbeadoptedtoachieveinteractiveperformance.Thenonlinearoptimizationmethodsavoidtheuserburdentoinputtransformationatdeformationhandles,andtheycanbeextendedtoincorporatevariousnonlinearconstraints,likevolumeconstraint,skeletonconstraint,andsoon.Wereviewrepresentativemethodsandrelatedapproachesofeachcategorycomparativelyandhopetohelptheuserunderstandthemotivationbehindthealgorithms.Finally,wediscusstherelationbetweenphysicalsimulationandgradientdomainmeshdeformationtorevealwhyitcanachievephysicallyplausibledeformationresult.

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：

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：基于精力的一个新种类坡度理论非局部的模型在这篇论文被建议，并且理论被使用在薄金属性的电线扭转调查尺寸效果，极端薄的横梁弯曲并且多晶的铜微缩进。首先，一个精力非局部的模型被建议。基于模型，第二，一个新种类坡度理论被导出。第三，新理论被使用分析三个代表性的实验。

简介：Inthispaper,byusinganewprojection,weconstructavariantofZhang’salgorithmandproveitsconvergence.Specially,thevariantofZhang’salgorithmhasquadraticterminationandsuperlinearconvergenceraleundercertainconditions.Zhang’salgorithmhasn’ttheseproperties.

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

简介：Thispaperpresentsacoordinategradientdescentapproachforminimizingthesumofasmoothfunctionandanonseparableconvexfunction.Wefindasearchdirectionbysolvingasubproblemobtainedbyasecond-orderapproximationofthesmoothfunctionandaddingaseparableconvexfunction.UnderalocalLipschitzianerrorboundassumption,weshowthatthealgorithmpossessesglobalandlocallinearconvergenceproperties.Wealsogivesomenumericaltests(includingimagerecoveryexamples)toillustratetheefficiencyoftheproposedmethod.

简介：

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

简介：ConsiderthepiecewiselinearfiniteelementsubspaceSandparabolicsemidiscreteGreen’sfunctionofgradienttypeGh(t)∈Sk.Theasymptoticoptimalestimatedxdt

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：让M与部分弯曲歧管的n维的完全的noncompactRiemannian从在下面被围住，d瑥物浥湥?牡?牰癯摩摥椠?汣獯摥映牯獭

简介：Watershedtransformationisapowerfulmorphologicaltoolimagesegmentation.However,theperformanceoftheimagesegmentationmethodsbasedonwatershedtransformationdependslargelyonthealgorithmforcomputingthegradientoftheimagetobesegmented.Inthispaper,wepresentamulti-scalegradientalgorithmbasedonmorphologicalopenatorsforwatershed-basedimagesegmentation,witheffectivehandlingofbothstepandblurrededges.Wealsopresentanalgorithmtoeliminatethelocalminimaproducedbynoiseandquantizationerrors.Experimentalresultsindicatethatwatershedtransformationwiththealgorithmsproposedinthispaperproducesmeaningfulsegmentations,evenwithoutaregion-mergingstep.

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

简介：作为塑料失真的卷屈计算的脱臼密度张肌在水晶粘性被认为是一个新组成的变量。脱臼密度张肌上的免费精力功能的依赖被探索从二次的ansatz开始。一个人和对数的相关性当时是的等级从脱臼的统计理论基于考虑想象。介绍免费精力潜力的关联从相应分析答案被评估周期二阶段把问题压成薄片在下面在一层是经历单身者的单个水晶材料的地方，砍滑倒并且第二仍然保持完全有弹性。