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收敛理论的英文

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  • convergence theory

例句与用法

  • Convergence theorems for fuzzy martingales
    关于模糊鞅的收敛理论
  • In this chapter , we establish convergence theorem by using the majorizing method
    我们用优序列的技巧给出了这族迭代法收敛理论
  • In this chapter , we establish convergence theorem by using the recurrence relations
    在这一章中,我们是用递归法给出了迭代法的收敛理论
  • Meanwhile , extend discussions are carried out on the general convergence of iga in the pure mathematical sense , iga is proved to be weakly convergent in the sence of probability , weakly convergent a . e . ,
    同时在纯数学意义上拓展讨论,就iga的一般收敛理论进行分析,证明了概率弱收敛、几乎处处弱收敛、渐进收敛等性质。
  • It follows from the general convergence theory that the em algorithm generally converge to a local maximum solution of the likelihood function and cannot be guaranteed to converge to a correct solution , i . e . , a consistent solution of the samples
    Em算法的一般收敛理论认为,算法只能收敛到似然函数的一个局部极大解,无法保证能够收敛到与样本的真实参数相一致的解上。
  • It is proven that these modified dual algorithms still have the same convergence results as those of the conceptional dual algorithms in chapter 2 and chapter 3 . secondly , a dual algorithm is constructed for general constrained nonlinear programming problems and the local convergence theorem is established accordingly . the condition number of modified lagrange function ' s hessian is estimated , which also depends on the penalty parameter
    证明这些修正的对偶算法仍具有同前两章的概念性对偶算法相同的收敛性结果,我们还进一步构造了一般约束非线性规划问题的对偶算法,建立了相应的局部收敛理论,最后估计了修正lagrange函数的hesse阵的条件数,它同样依赖于罚参数。
  • The general nonlinear programming problem and the basic assumptions under which our convergence results hold are introduced in chapter 2 . in chapter 3 , we give the definition of the mpf which our method is based on , the mpf method and the trust region algorithm . the convergence results for the mpf method , some aspects concerning the practical implementation and some concluded remarks of the method are discussed in chapter 4
    第一章为绪论部分,第二章介绍本文收敛性理论所需要的一般非线性规划问题的最优性条件和基本的假设条件,第三章给出修改的罚函数的定义,修改的罚函数法,以及第步迭代所用的信赖域算法,第四章讨论修改的罚函数法的收敛理论,数值实验和由修改的罚函数法得出的一些结论。
  • Chapter 3 is devoted to the study of the convergence theory of a dual algorithm for unconstrained minimax problems . a dual algorithm for solving unconstrained minimax problems , based on the penalty function of bertsekas ( 1982 ) , is presented . we prove that there exits a threshold of the penalty parameter satisfying that the sequences generated by the dual algorithm converge locally to the kuhn - tuker point of the unconstrained minimax problems when the penalty parameter is less than the threshold
    第3章给出无约束极大极小问题的一个对偶算法的收敛理论,给出一个基于bertsekas ( 1982 )罚函数的求解无约束极大极小问题的对偶算法,证明罚参数存在一个阀值,当罚参数小于这一阀值时,该对偶算法产生的序列局部收敛到问题的kuhn - tuker点,并建立了参数解的误差估计式,同样估计了罚函数的hesse阵的条件数,它也依赖于罚参数。
  • Therefore , the research for them has important learning value and certain degree of difficulty . just as weakening convexity of objective functions being a central issue in optimization problems , weakening monotonicity of set - valued mappings is an important research direction in set - valued variational inclusion problems
    对这一问题的研究涉及到凸分析、线性与非线性分析、非光滑分析、集值分析、偏序理论、图收敛理论等数学分支,有重要的学术价值和相当的难度。
  • One is , based on answering the above open problem on a finite dimensional euclidean space by means of partially ordered theory , to research the existence of solutions , global error bounds of proximal solutions and sensitivity of parametric unique solutions and present a class of variable - parameter three - step iterative algorithms for generalized set - valued variational inclusion problems by using - resolvent operator of set - valued mapping . two is to consider the convexity , closedness and boundedness of the solution set of general set - valued variational inclusion problems and the sensitivity of the parametric solution set by means of graphical convergence theory . three is to discuss directly the existence of solutions by using analytical methods for set - valued mixed quasi - variational - like inequalities and suggest a class of direct variable - parameter three - step iterative algorithms for solving generalized set - valued variational inclusions
    研究分有三个方面:一是借助于偏序理论在有限维欧氏空间中解决了上述公开问题,在此基础上利用集值映射的-预解算子,研究了广义集值变分包含问题解的存在性、逼近解的全局误差界、参数唯一解的灵敏性,并提出了一类变参数三步迭代算法;二是借助于图收敛理论研究了一般集值变分包含问题解集的凸性、闭性和有界性以及参数解集的灵敏性;三是用分析的方法直接讨论了集值混合拟类变分不等式问题解的存在性并提出了一类求解广义集值变分包含问题的直接变参数三步迭代算法。
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