简介:LetAbeann×nrealsymmetricmatrix.Aiscalledcompletelypositive(denoteA∈CP_n)ifA=B’Bforsomem×nnonnegativematrixBwheremisanintegeranddenotes
简介:ThispaperstartswiththediscussionoftheprincipleofReduced-Rank(RR)Space-TimeAdaptiveProcessing(STAP).Itisfollowedbyadedicationoftheupperboundperformanceofalleigen-basedRRmethodsprovidedbyCrossSpectralMethod(CSM)undertheconditionofagivenprocessorrankandanidenticalsecondarysamplesize.AperformancecomparisonbetweentwoRRSTAPprocessorswithprefixedstructureandCSMisperformedbythemeansofsimulations.Itisshownthattheperformanceoftimepre-filteringfollowedbyjointlylocalizedSTAPstructure(i.e.3DT-SAP)isveryclosetotheupperboundandtherebyitisaneffectiveRRapproach.
简介:Thelongcontroversyovertheterm‘Quaternary'asachronostratigraphicunitmaybereachinganapotheosis,judgingfromrecentpapers(PillansandNaish,2004;Gibbardetal.,2005;andreferencestherein).Thedebateisnolongercenteredonwhetherthereshouldbeaplaceinthegeologicaltimescaleforaunittermed‘Quaternary'-despiteitsdubiouspast,itcannotbedeniedthatalargebodyofearth-historicalresearchisstronglyidentifiedwiththisterm.ThechallengenowconcernsanappropriaterankanddefinitionofQuaternarywithregardtootherchronostratigraphicunits.Severaloptionshavebeenproposed(PillansandNaish,2004),andGibbardetal.(2005)encourageadebateonthesebeforedecisionisreached.Inthisbriefnote,wedescribeanarrangementnotpreviouslyconsideredthatseemsadvantageous.Itisinstructive,however,tofirstreviewthePleistoceneSeriesandNeogeneSystem,thetwounitsthataredirectlyaffectedbyintroductionoftheQuaternaryintothechronostratigraphichierarchy.
简介:AnexcellentintroductiontothetopicofposetmatroidsisduetoBarnabei,NicolettiandPezzoli.Inthispaper,weinvestigatetherankaxiomsforposetmatroids;therebywecancharacterizeposetmatroidsina“global”versionanda“pseudo-global”version.Somecorrespondingpropertiesofcombinatorialschemesarealsoobtained.
简介:在这份报纸,我们显示出怎么为图象结束在常规或在常规附近的质地利用低等级、稀少的结构。我们的方法为随机、连续的贪污基于统一明确的表达。除了质地的低等级性质,算法也使用自然图象的稀少的假设:因为自然图象是piecewise,变光滑,它在某些转变领域是稀少的(例如Fourier或小浪变换)。我们联合低等级并且质地的稀少性质在建议算法一起想象。我们的算法能自动地并且正确地基于凸的优化修理一块贿赂质地的全球结构,甚至没有要完成的区域的精确信息。这个算法集成质地校正并且修理进一个优化问题。通过广泛的模拟,我们证明我们的方法能完成并且修理错误比存在低等级的矩阵恢复方法更好与随机、连续的支持贿赂的质地。我们的方法证明超越本地补丁的重要优点在处理大贪污,不一致的质地,和大观点变丑基于质地合成技术。
简介:AmongMongolianandTibetanhigh-rankingBuddhistmonks,theKhutukhtuissecondonlytothatoftheDalaiandthePanchen.Therehave,however,beenvariousinterpretationsofthewordkhutukhtu,itslinguisticorigin,andconnotations.Inthisessay,therefore,IexpoundonthepreliminarytextualresearchIhavemadeintoquestionsregardingtheoriginoftheword"khutukhtu,"itscourseofevolution,andspecificmeaningwhen"Khutukhtu"becamethepostandranktitleforcertainMongolianandTibetanhigh-rankingBuddhistmonks.
简介:AnanalysisonthepropertyofSelf-ScalingRankOneUpdate(SSR1)isgiven.Inviewofit,weexplorewhethertheSSR1updatewithoutusingexactlinesearchpossessesthefiniteterminationpropertywhenitisappliedtominimizeapositivedefinitequadraticobjectivefunction.
简介:AccordingtostatisticsconductedbytheEnvironmentBureauofT.A.R,Tibethasestablished7differentconservationareasatnationallevel,8atprovinciallevel,and23atsub-provinciallevel.Thetotalconservationareareachesto407,000sqkm,ThisnumberaccountsforonethirdoftA.R,andranksnumberoneinChina.
简介:Let∑,Гbetwon-by-ndiagonalmatriceswithσi,γiastheirdiagonals.Fortheinverseeigenvalueproblem:lookfory∈RnsuchthatГ+yyTissimilarto∑,weprovethatualsothesufficientconditionforthesolvabilityofthisinverseproblem.Itssolution(set)isgivenexplicitly.Insomecase,theproblemisunstable.Butweprovethatthesumsofthesquareofsomecontigiouscomponentskeepstable,i.e.,smallsumkeepssmall,largesumhasasmallrelativeperturbation,seeTheorem3.
简介:Nonlinearrank-onemodificationofthesymmetriceigenvalueproblemarisesfromeigen-vibrationsofmechanicalstructureswithelasticallyattachedloadsandcalculationofthepropagationmodesinopticalfiber.Inthispaper,wefirststudytheexistenceanduniquenessofeigenvalues,andtheninvestigatethreenumericalalgorithms,namelyPicarditeration,nonlinearRayleighquotientiterationandsuccessivelinearapproximationmethod(SLAM).TheglobalconvergenceoftheSLAMisprovenundersomemildassumptions.NumericalexamplesillustratethattheSLAMisthemostrobustmethod.
简介:TwoestimatesusefulinapplicationsareprovedfortheFouriertransforminthespaceL2(X),whereXasymmetricspace,asappliedtosomeclassesoffunctionscharacterizedbyageneralizedmodulusofcontinuity.
简介:Inthispaper,rankfactorizationsandfactorleftprimefactorizationsarestudied.Theauthorsprovethatanypolynomialmatrixwithfullrowrankhasfactorleftprimefactorizations.Andforaclassofpolynomialmatrices,theauthorsgiveanalgorithmtodecidewhethertheyhaverankfactorizationsorfactorleftprimefactorizationsandcomputethesefactorizationsiftheyexist.
简介:Offshorestructureswillencounterseriousenvironmentalload,soitisimportanttostudythestructuralsystemreliabilityandtoevaluatethestructuralcomponentsafetyrank.Inthispaper,thebracnch-and-boundmethodisadoptedtosearchthemainfailurepath,andtheDitlevsenboundmethodisusedtocalculatethesystemfailureprobability.Thestructureisthenassessedbythefuzzycomprehensiveassessmentmethod,whichevaluatesthestructuralcomponentsafetyrank.Theultimateequationofthetu-bularcross-sectionisanalyzedonthebasisofultimatestregnthanalysis.Theinfluenceofeffectcoefficientsonthestructuralsystemfailureprobabilityisinvestigated,andbasicresultsareobtained.Ageneralprogramforspatialframestructuresbymeansoftheabovemethodisdeveloped,andverifiedbythenumericalexamples.