monotone convergence 中文意思是什麼

monotone convergence 解釋
單調收斂
  • monotone : n. ,adj. 【語言學】單調音（的）；（顏色、文體等的）單調（的）。vt. ,vi. 單調地讀[說、唱]。
  • convergence : n. 1. 聚合，會聚，輻輳，匯合。2. 集合點；【數、物】收斂；【生物學】趨同（現象）。
  1. First, we consider an additive schwarz algorithm for the solution of ax 4 - f ( x ) 0, x when coefficient a is an m - matrix and f ' ( x ) 0. by applying the theory of weak regular splitting of matrices to the above considered algorithm, we obtain the weighted max - norrn bound for iterations. moreover, under the assumption that f ( x ) is concave, we establish monotone convergence of the considered algorithm

    本文內容如下：首先，應用加性schwarz演算法求解非線性互補問題，其中a是m陣，應用弱分解理論，我們獲得了在加權范數意義下誤差的幾何收斂速度，在f （ x ）是凹函數的假設下我們還獲得了此演算法的單調收斂性，同時我們給出此演算法的一種修改演算法，無需前面的假設，該演算法具有單調收斂性。
  2. Sufficient conditions are obtained for the existence of bounded positive solutions of the n - order delay differential equations with nonlinear neutral term, on the basis of lebesgue ' s monotone convergence theorem and banach contraction theorem

    摘要利用控制收斂定理和壓縮映射原理研究了一類具非線性中立項時滯微分方程有界正解的存在性，獲得了其存在有界正解的充分條件。
  3. Chapter 5 is contributed to studying convergence rate of standard transition function and relation of all kinds of convergence rates. by revealing the close link among strong ergodicity, stochastically monotone, and the feller transition functions we are able to prove that a monotone ergodic transition function is strongly ergodic if and only if it is not a feller transition function

    第五章討論標準轉移函數的收斂速度以及各種收斂速度之間的關系，通過找出強遍歷、隨機單調性和feller轉移函數之間的緊密關系，我們證明了隨機單調標準轉移函數是強遍歷的充要條件是它不是feller轉移函數。
  4. The global convergence of the non - quasi - newton methods with non - monotone line search

    基於非單調線搜索非擬牛頓法的全局收斂性
  5. We construct some new iterative algorithms with errors for solving these generalized fuzzy variational inclusions by using the resolvent operator technique for maximal - monotone mappings and prove the convergence of iterative sequences generated by the algorithms

    為了利用-極大單調映象的預解運算元技巧求解這類廣義模糊變分包含，我們建立了一些新的含誤差的迭代演算法，並證明了由這類演算法產生的迭代序列的收斂性。
  6. Su chun, shao qi - man solved the problem, we investigate the relations between the convergence of tail probability series and the existence of some type of the moment for partial sums of interchangeable random variables and positive monotone functions, we answer the three questions for interchangeable random variables, our results are new and we obtain a series of sufficient and equivalent results. in section 4 we give the law of interated logarithm for interchangeable random variables, and obtain the following main results

    藝闊8藝潤、藝側蘇淳、邵啟滿解決了pi ， ollorov提出的這一問題，這一節我們通過討論可交換隨機變量序列的部分和關于正值單調函數的尾概率級數的收斂性和某種形式矩的存在性之間的關系，回答了在一定條件下可交換隨機變量關于這三個問題的一些結果，這些結果是全新的，並得到了一系列充分性和等價性結論
  7. We also discuss the convergence and stability of perturbed iterative algorithm for solving a class of generalized nonlinear quasi - variational - like inclusions involving maximal - monotone mappings

    我們還討論了求解一類含-極大單調映象的廣義非線性擬似變分包含的擾動迭代演算法的收斂性和穩定性。
  8. Section 4 is devoted to give some new iterative algorithms with errors. with some noncompact constraint qualifications, we prove the existence of solution for the generalized nonlinear fuzzy quasi - variational - like inclusions involving maximal - monotone mappings and the convergence of iterative sequences generated by the iterative algorithms. in the last, we discuss the convergence and stability of perturbed iterative algorithm for solving a class of generalized nonlinear quasi - variational - like inclusions involving maximal - monotone mappings

    第四部分，首先給出一些新的含誤差的迭代演算法，然後證明這類含-極大單調映象的廣義非線性模糊擬似變分包含在非緊條件下的解的存在性和由此類迭代演算法產生的迭代序列的收斂性；第五部分，我們討論了求解一類含-極大單調映象的廣義非線性擬似變分包含的擾動迭代演算法的收斂性和穩定性。
  9. Convergence rates of regularized solutions of nonlinear operator equation of the first kind involving monotone operators

    非線性第一類單調運算元方程正則解的收斂率討論
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