学科分类
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7 个结果
  • 简介:Inthispaper,westudyseveraliterativemethodsforfindingthemaximal-likesolutionofthematrixequationX+A~*X~(-2)A=I,anddeducesomepropertiesofthemaximal-likesolutionwiththesemethods.

  • 标签: 矩阵方程 迭代法 恒等式 复矩阵
  • 简介:Thepurposeofthispaperistostudycompletespace-likesubmanifoldswithparallelmeancurvaturevectorandflatnormalbundleinalocallysymmetricsemi-defnitespacesatisfyingsomecurvatureconditions.WefirstgiveanoptimalestimateoftheLaplacianofthesquarednormofthesecondfundamentalformforsuchsubmanifold.Furthermore,thetotallyumbilicalsubmanifoldsarecharacterized.

  • 标签: 空间-像子流形 平均曲率常数 法线丛 局部对称半-无限空间
  • 简介:Thepurposeofthispaperistoinvestigatetheiterativealgorithmforfindingapproximatesolutionsofaclassofmixedvariational-likeinequalitiesinarealHilbertspace,wheretheiterativealgorithmispresentedbyvirtueoftheauxiliaryprincipletechnique.Ononehand,theexistenceofapproximatesolutionsofthisclassofmixedvariational-likeinequalitiesisproven.Ontheotherhand,itisshownthattheapproximatesolutionsconvergestronglytotheexactsolutionofthisclassofmixedvariational-likeinequalities.

  • 标签: 混合相变化不等式 辅助定理技术 迭代运算 存在性 强收敛 HILBERT空间
  • 简介:Inthispaper,wepresentm-timesecant-likemulti-projectionalgorithmforsparseunconstrainedminimizationproblem.Weprovethismethodareallq-superlinearlyconvergenttothesolutionaboutm≥l.Atlast,wediscussfromsomenumericalresults,howtochoosethenumbermtodeterminetheapproximatingmatrixproperlyinpracticaluse.

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  • 简介:Inthispaper,wediscusstherelationshipbetweenthesparsesymmetricBroyden(SPSB)method[1,2]andm-timesecant-likemulti-projection(SMP)method[3]andprovethatwhenmgoestoinfinity,theSMPmethodiscorrespondingtotheSPSBmethod.

  • 标签: BROYDEN方法 对称性 SPSB 计算数学 可微性 近似值