lipschitz condition 中文意思是什麼

lipschitz condition 解釋
李普希茨條件
  • lipschitz : 利普席茨
  • condition : n 1 狀態，狀況，情形；品質。2 〈pl 〉外界狀況，周圍情形。3 地位，身分。4 條件；【語法】條件子句。...
  1. Section 3 and section 4 are the main parts of the paper. by employing the directional derivative and generalized gradient in the broad sense, as defined in this paper, the first order necessary condition and the first order sufficient condition of the single - objective non - smooth programming where the objective function is d - regular weak lipschitz function and constrained functions are regular weak lipschitz functions

    第三節和第四節是本文的主要章節，以本文定義的廣義方向導數和廣義梯度為分析工具，對目標函數為d正則弱l函數，約束函數為正則弱l函數的單目標非光滑規劃分別給出了一階必要條件和一階充分條件。
  2. Iterative process for certain nonlinear mappingswith lipschitz condition

    條件的非線性映象的迭代過程
  3. Relative to sde, the study for the solution of bsde under non - lipschitz condition is absence, especially when the uniqueness of the solution can not be guaranteed, the existence of minimal and maximal solution of bsde are not be studied

    相對于正向隨機微分方程，非lipschitz條件下倒向隨機微分方程解的性質的研究尚不夠豐富，特別是條件不能保證方程解唯一時，倒向隨機微分方程最大最小解的存在性尚未見有成果。
  4. In chapter two, under non - lipschitz condition, the existence and uniqueness of the solution of the second kind of bsde is researched, based on it, the stability of the solution is proved ; in chapter three, under non - lipschitz condition, the comparison theorem of the solution of the second kind of bsde is proved and using the monotone iterative technique, the existence of minimal and maximal solution is constructively proved ; in chapter four, on the base of above results, we get some results of the second kind of bsde which partly decouple with sde ( fbsde ), which include that the solution of the bsde is continuous in the initial value of sde and the application to optimal control and dynamic programming. at the end of this section, the character of the corresponding utility function has been discussed, e. g monotonicity, concavity and risk aversion ; in chapter 5, for the first land of bsde, using the monotone iterative technique, the existence of minimal and maximal solution is proved and other characters and applications to utility function are studied

    首先，第二章在非lipschitz條件下，研究了第二類方程的解的存在唯一性問題，在此基礎上，又證明了解的穩定性；第三章在非lipschitz條件下，證明了第二類bsde解的比較定理，並在此基礎上，利用單調迭代的方法，構造性證明了最大、最小解的存在性；第四章在以上的一些理論基礎之上，得到了相應的與第二類倒向隨機微分方程耦合的正倒向隨機微分方程系統的一些結果，主要包括倒向隨機微分方程的解關于正向隨機微分方程的初值是具有連續性的，得到了最優控制和動態規劃的一些結果，在這一章的最後還討論了相應的效用函數的性質，如，效用函數的單調性、凹性以及風險規避性等;第五章，針對第一類倒向隨機微分方程，運用單調迭代方法，證明了最大和最小解的存在性，並研究了解的其它性質及在效用函數上的應用。
  5. Second by using liapunov direct method, two different sufficient global exponential stability conditions are obtained on condition that activation functions are lipschitz continuous

    第二種是採用李雅普諾夫直接方法，在激勵函數的lipschitz連續假設下，得到了兩個全局指數穩定的充分性判據。
  6. The estimate of the hausdorff dimension of self - similar measure under double lipschitz condition

    條件下自相似測度的維數估計
  7. Fully - coupled forward - backward stochastic differential equations under local lipschitz condition

    條件下的正倒向隨機微分方程
  8. First by introducing nonlinear measures, the existence, uniqueness and global exponential stability of the equilibrium point of this kind of neural networks are investigated. two different lipschitz continuous activations are considered. some sufficient conditions and convergence estimate for global exponential stability of neural networks are obtained on condition that self - feedback is nonlinear

    第一種是通過引入非線性測度的概念，分別對激勵函數採用了兩種不同的lipschitz連續假設，給出這兩種不同連續假設下神經網路系統的全局指數穩定性條件，並分析其指數收斂率。
  9. In chapters two and three, we generalize lipschitz condition which is satisfied by f " and obtain the results, respectively

    本文的第二、三章將屍『滿足的lipschitz條件一般化，得到相應的結果
  10. In chapter 3, we study the same problem by majorizing operator technique and obtain some kantorovich - type theorem, which makes lipschitz condition more universal

    第三章，我們對同樣的問題利用優運算元技巧進行研究，建立了另一類kantorovich型的收斂定理，使得lipschitz條件更具普遍性。
  11. Under certain conditions weaker than the locally lipschitz condition freuently used in the literature, we showed that each hounded solution of such systems had a tendency of equilibrium

    在一些比已有文獻通常附加的局部李普希茲條件更弱的條件下，證明了此系統的每個有界解趨于某平衡態。
  12. Studying the uniqueness of the solution of the equation ( 1 ) and the convergence of newton ' s method, we often discuss lipschitz condition which is satisfied by f " or f "

    （ 2 ）弱條件下的newton迭代和變形halley迭代在研究方程（ l ）的解的唯一性和newton法的收斂性時，我們常常對fl或fl 『滿足的lipschitz條件進行討論
  13. Under the same lipschitz condition as for newton ' s method, we give a result on the existence of a unique solution for the nonlinear equation by using a technique based on a new system of recurrence relations

    在與kantorovich條件相同的lipschitz條件下，我們通過基於新的遞歸關系的技巧給出非線性方程解的存在唯一性定理。下面介紹本文的主要內容。
  14. In chapter 2, we discuss lipschitz condition which is satisfied by the second frechet - derivative of operator through the use of recurrence relations, so as to make it meaningful in general and get the convergence theorem

    第二章，通過運用遞歸技巧，對運算元的二階fr chet導數滿足的lipschitz條件進行討論，以使其在一般情況下有意義，並得到newton法的收斂性定理。
  15. The other is a measure dimension estimate for graph - directed iterated function systems when they satisfy the double lipschitz condition and the sosc. we obtain the lower and upper bound estimate for the hausdorff dimension of a list of useful measures

    其二是當圖迭代函數系統滿足雙lipschitz條件及強開集條件的情況下，我們得到了一類相應的圖吸引子上的測度維數的上下界的估計。
  16. We may study the lipschitz exponent characterization of the noise and singular signal and then achieve the goal of removing noise and distilling the real edge lines. the thesis has discussed the calculating of the lipschitz exponent, and analysised and compared the condition between wavelet bases and singularity detection of signal

    由於在數學上可以利用lipschitz指數來對信號的奇異性進行詳細的刻劃，所以我們可以通過對噪聲信號和奇異信號的lip指數特性的研究，根據它們的不同特徵來達到去除噪聲和提取真正邊緣的目的。
  17. This paper study the character and application of the solution of bsde, the main results include : for the second kind of bsde, the existence and uniqueness of the solution under non - lipschitz condition, comparison theorem and stability are established, under weaker condition, the existence of the minimal and maximal solution is proved and the application in stochastic control and utility function is given ; for the first kind of bsde, under weaker condition, the existence of minimal and maximal solution. stability, comparison theorem and application to utility function are proved

    本文研究倒向隨機微分方程解的性質及其應用，主要結果有：針對第二類方程，討論了在非lipschitz條件下倒向隨機微分方程解的存在唯一性，比較定理及穩定性等，在更弱條件下，得到了倒向隨機微分方程的最大解和最小解的存在性，在此基礎之上，給出了在隨機控制及效用函數方面的應用；針對第一類方程，同樣在較弱條件下，證明了方程最大、最小解的存在性、穩定性、比較定理及其在效用函數的應用。
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