| The Single Valley Character of Level Degree Function |
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| 作者姓名： | 傅增明 佟晓石 |
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| 作者单位： | Humanities Department，Donghua University，Shanghai，200051，Library，Fuzhou University，Fuzhou，710005 |
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| 摘 要： | IntroductionDuringthepastseveraldecades,therehavecomeupwithmanyadvancedoptimizationmethodsforcomputation ,suchasIterativeApproachMethod1] ,StepLengthAccelerationMethod2 ] ,SimpleAccelerationMethod3 ] andsoon .Alloftheseoptimizationmethodsmentionedaboverequiretheopti malpositionoftherotatedplane ,inorderforthefunctiontoreachthenadiroftheleveldegree .Accordingtothisoptimizationtheory ,theoptimiza tionshouldbebasedonthefactthattheto be searchedlev eldegreefunctionhasoneandonlyoneminimalval…
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The Single Valley Character of Level Degree Function |
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| FU Zeng-mingHumanities.The Single Valley Character of Level Degree Function[J].Journal of Donghua University,2004,21(4). |
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| Authors: | FU Zeng-mingHumanities |
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| Institution: | 1. Humanities Department,Donghua University,Shanghai,200051
2. Library,Fuzhou University,Fuzhou,710005 |
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| Abstract: | Strict proof has been given to single valley character of level degree function by use of convex analysis theory, which provides reliable theoretical basis for the optimization of the data processing with respect to level degree. As circle degree and cylindrical degree have the same mathematical structures, their single valley character can be proved by the same method. |
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| Keywords: | Convex Analysis Theory Level Degree Function Single Valley Character |
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