简介：Inthispaper,thedefinitionsofBayesestimator,minimaxestimator,minimumriskequivariantestimatorandadmissibleestimatorunderthegeneralmatrixlossfunctionaregiven.Severalresultsonestimationofparameterswiththeordinarylossfunctionareextendedtothecaseofthematrixlossfunction.

简介：动态僵硬矩阵方法被使用在这篇论文计算壳girder的颤动。这个方法不能仅仅简化计算模型，而且精确地得到高得多的频率和回答。为横向的颤动的一根Timoshenko横梁的动态僵硬矩阵的分析表情在这篇论文被介绍。旋转惯性的所有效果并且砍变丑在明确的表达被考虑。结果与Wittrick威廉算法相结合的动态僵硬矩阵被用来计算自然频率和299,500DWTVLCC的模式形状，然后震动的回答被模式重叠方法解决。计算结果与从另外的近似方法和实验获得的那些相比，并且它显示方法精确、有效。

简介：1.IntroductionTherehasbeenalotofliterature(see[1]--[61and[12])ontheparalleliterativemethodsforthelarge--scalesystemoflinearequationsinthesenseofmatrixmultisplittingsincethepioneeringworkofO’LearyandWhite(see[l])waspublishedin1985.Oneofthemostrecentre...

简介：Inthispaperanewnondestructivedamageidentificationmethodisintroduced.Themethodbasedonflexibilitymatrixcanbeusedtodetectandlocatestructuraldamageandevaluatetheseverityofdamageinlegsofjacketplatformsbymodalparametersofastructure.Withthemodaldataforonlythefewlowermodesinboththeintactanddamagedstates,theone-dimensionalandtwo-dimensionaldistributedcurvaturescanbeusedtoanalyzedamagelocationandtheseverity.Insteadofdirectlycomparingthecurvaturesbeforeandafterdamage,themethodhereusesmodalparametersonlyinthedamagedstructuretodetectthedamageanditconsistsofthreeparts.First,flexibilitymatrixisobtainedbyuseoftheabsolutemaximumineachcolumn.Second,becausethelegsofjacketplatformsarethepipe-likestructure,thecircumferentialflexibilitycurvaturematrixisobtainedbyuseofthecircularcurvature.Atlast,equivalentcurvatureratioisdefinedandthecurvemeaningequivalentcurvatureratioandtheseverityofdamagerelationshipforoneelementisgiventhroughthedataofdamageseverityfromtenpercenttoninetypercentbynumericalsimulation.Manyexistingdamagedetectionmethodsneedtwosteps,locatethedamagefirstlyandevaluatetheseverityofthedamage.However,themethodpresented!inthispapercanlocateandthenevaluatetheseverityofdamageatthesametime.Thenumericalanalysisresultsindicatethatthepresentmethodiseffective,usefulandonlyneedthefirstandthesecondmodedataofthestructure.

简介：InthispaperweconsideraMarkovchainmodelinanATMnetwork,whichhasbeenstudiedbyDagandStavrakakis.OnthebasisoftheiterativeformulasobtainedbyDagandStavrakakis,weobtaintheexplicitanalyticalexpressionofthetransitionprobabilitymatrix.ItisverysimpletocalculatethetransitionprobabilitiesoftheMarkovchainbytheseexpressions.Inaddition,weobtainsomeresultsaboutthestructureofthetransitionprobabilitymatrix,whicharehelpfulinnumericalcalculationandtheoreticalanalysis.

简介：GivenastablematrixA∈Cn×n,therearesomesimplesimultaneousinequalitieswhosecoefficientsrelyonA.For（?）PH=P∈Cn×n,ifPsatisfiestheseinequlities,thenPA+AHP<0.Asanapplicationofthemainresults,thestabilityofthematrixfamilyistreated.Besides,somegeometricpropertiesofthesetofalltheLyapunovmatricesofagivenstablematrixareconsidered.

简介：在渗透雷达(GPR)的地面的一个新奇喧嚷抑制方法被建议。初步的结果被使用分辨率改进了处理的目标(旅行)获得。初步的结果将为旅行重复被用作起始的输入。所有旅行重复步是以前的旅行结果和初步的结果的适应线性联合。这适应联合策略能平衡喧嚷抑制和目标信息保护，它在喧嚷抑制研究被看作一个麻烦矛盾和一个长期的问题。当重复结果的矩阵熵收敛时，算法能在喧嚷抑制和目标保护两个都完成好结果。试验性的结果证明新算法超过存在途径。

简介：Theproblemofdetectingsignalwithmultipleinputmul-tipleoutput(MIMO)radarincorrelatedGaussianclutterdominatedscenariowithunknowncovariancematrixisdealtwith.Thegen-eralMIMOmodel,withwidelyseparatedsub-arraysandco-locatedantennasateachsub-array,isadopted.Firstly,thegeneralizedlikelihoodratiotest(GLRT)withknowncovariancematrixisob-tained,andthentheRaoandWalddetectorsaredevised,whichhaveprovedthattheRaoandWaldtestcoincidewithGLRTdetec-tor.Tomakethedetectorsfullyadaptive,thesecondarydatawithsignal-freewillbecollectedtoestimatethecovariance.Theper-formanceoftheproposeddetectorisanalyzed,however,itisjustancillary.Athoroughperformanceassessmentbyseveralnumer-icalexamplesisalsogiven,whichhasconsideredthesensewithco-locatedantennasconfigureoftransmittersandreceiversarray.Theresultsshowthattheperformancetheproposedadaptivede-tectorisbetterthanLJ-GLRT,andthelosscanbeacceptableincomparisontotheirnon-adaptivecounterparts.

简介：Wedevelopanumericalschemetoconstructthescattering(S)matrixforopticalmicrocavities,includingthespecialcaseswithparity-timeandothernon-Hermitiansymmetries.Thisschemeincorporatestheexplicitformofanonlocalboundarycondition,withtheincidentlightrepresentedbyaninhomogeneousterm.ThisapproachresolvestheartifactofadiscontinuousnormalderivativetypicallyfoundintheR-matrixmethod.Inaddition,weshowthat,byexcludingtheaforementionedinhomogeneousterm,thenon-HermitianHamiltonianinourapproachalsodeterminesthePeriels–Kapurstates,anditconstitutesanalternativeapproachtoderivethestandardR-matrixresultinthisbasis.Therefore,ourschemeprovidesaconvenientframeworktoexplorethebenefitsofbothapproaches.Weillustratethisboundaryvalueproblemusing1Dand2DscalarHelmholtzequations.TheeigenvaluesandpolesoftheSmatrixcalculatedusingourapproachshowgoodagreementwithresultsobtainedbyothermeans.

简介：LetAandCdenoterealn×nmatrices.Givenrealn-vectorsx1,………,xm,m≤n,andasetofnumbers(L)={λ1,λ2…λm}，Wedescrbe(Ⅰ)theset()ofallrealn×nbisymmetricpositiveseidefinitematricesAsuchthatAxiisthe"best"approximatetoλixi,i=1,2,...,minFrobeniusnormand(Ⅱ)theYinset()whichminimizeFrobeniusnormof||C-Y||.AnexistencetheoremofthesolutionsforProblemⅠandProblemⅡisgivenandthegeneralexpressionofsolutionsforProblemⅠisderived.SomesufficientconditionsunderwhichProblemⅠandProblemⅡhaveanexplicitsolutionisprovided.Anumer-icalalgorithmofthesolutionforProblemⅡhasbeenpresented.

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简介：WepresentcomponentwiseconditionnumbersfortheproblemsofMoorePenrosegeneralizedmatrixinversionandlinearleastsquares.Also,theconditionnumbersfortheseconditionnumbersaregiven.

简介：阶段PVDF水晶结构和在先存在的阶段PVDF球粒以内的豌豆的结晶化上的豌豆的效果被光显微镜学OM，红外线的光谱学红外和扫描电子显微镜学SEM调查了。结果证明阶段PVDF球粒由展出高度弄弯的像滚动的形态学的lamellae组成并且在充满豌豆的混合优先地发展。与增加豌豆集中，滚动直径增加和滚动更好与对方被分开。豌豆在interspherulitic区域使第一结晶，transcrystalline层发展。随后，豌豆的transcrystalline层继续在阶段PVDF球粒以内成长，例如在在滚动之间的区域，直到在另外的豌豆transcrystalline层或球粒上侵犯。结晶化动力学结果显示在阶段PVDF的intraspherulitic区域的豌豆晶体的生长率与阶段PVDF的结晶化温度与豌豆，而是否定豌豆的内容显示出积极关联。

简介：1IutroductionManykindsofmatrix-valuedrationalinterpolationorapproximationproblemshaveappearedinrecentyears([1-7]).MotivatedbyGraves-Morris’Thiele-typevector-val-uedrationalinterpolants[6],GuChuanqingandChenZhibing[7]discussedthematrix-valuedrationalinterpolantsinThiele-typecontinuedfractionform,withmatrix-valuednu-

简介：Anewefficientcouplingrelationshipdescriptionmethodhasbeendevelopedtoprovideanautomatedandvisualizedwaytomultidisciplinarydesignoptimization(MDO)modelingandsolving.Thedisciplinaryrelationmatrix(DRM)isproposedtodescribethecouplingrelationshipaccordingtodisciplinaryinput/outputvariables,andtheMDOdefinitionhasbeenreformulatedtoadoptthenewinterfaces.Basedonthese,auniversalMDOsolvingprocedureisproposedtoestablishanautomatedandefficientwayforMDOmodelingandsolving.Throughasimpleandconvenientinitialconfiguration,MDOproblemscanbesolvedusinganyofavailableMDOarchitectureswithnofurthereffort.SeveralexamplesareusedtoverifytheproposedMDOmodelingandsolvingprocess.ResultshowsthattheDRMmethodhastheabilitytosimplifyandautomatetheMDOprocedure,andtherelatedMDOframeworkcanevaluatetheMDOproblemautomaticallyandefficiently.

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简介：设Ａ是一个布尔矩阵，γ（Ａ）是布尔矩阵方程Ａｋ＝Ｊ成立的最小整数ｋ，σ（Ａ）是Ａ中元素“１”的数目．本文考察了参数Ｍ′（ｋ，ｎ）＝ｍｉｎ｛σ（Ａ）｜Ａｋ＝Ｊ，ｔｒａｃｅ（Ａ）＝０｝，并得到Ｍ′（２，ｎ）和Ｍ′（ｋ，ｎ）ｆｏｒｋ≥２ｎ－６．另外，该文还完全确定了满足ｔｒａｃｅ（Ａ）＝０，且σ（Ａ）＝３ｎ－３的Ａ２＝Ｊ的解的特征

简介：<正>Anadvancedsilica-dominatedmatrixtechnologyplatformanditsapplicationwereintroducedinthispaper.Throughnovelproprietaryprocessing,theadvancedsilica-dominatedmatrixwaspreparedfromtheuniquesilicasolandpseudo-boehmite.Thematrixporesizedistributionandaciditycanbetailoredtoprovideoptimalcoke-selectivityandbottoms-crackingabilitymatchedtofeedstockcharacteristics.AnovelFCCcatalyst(RSC-2006)forreducingcokeandslurryyieldswasdevelopedbasedonthesilica-dominatedmatrixtechnologyplatform.TheresultsofcommercialapplicationofthesaidtechnologyindicatedthattheRSC-2006catalystexhibitedexcellentperformanceonbottomscracking,cokeselectivityandhighvalueproductsyields.

简介：1TheprincipalconclusionTh1:Foreveryanti-symmetrictridiagonaln×nmatrixAwiththeoff-diagonalele-ments±βi（i=1,2,…n-1）,thereisanorthogonalmatrixLsuchthatLATALT=（?）（CandDisallsymmetrictridiagonalmatrix）.Andtheelementscij,dijandlijofmatrixC,DandLaredeterminedbythefollowngmeth-