variational inequality 中文意思是什麼

variational inequality 解釋
變分不等式
  • variational : 變化的
  • inequality : n. 1. 不平等，不平均，不平衡，不等量。2. 不相同，互異。3. 變動，變化，高低，起伏。4. 【數學】不等式；【天文學】均差。5. （平面等的）不平坦。6. 不勝任。
  1. First, we reformulate the kkt systems of the constrained optimization problem and the symmetric variational inequality prpoblem into equivalent nonsrnooth equations by using the so called ncp functions

    本文研究求解約束最優化問題和對稱變分不等式kkt系統的bfgs演算法。首先利用ncp函數將問題的kkt系統轉化為等價的非光滑方程組。
  2. Problems of unconstrained optimization and variational inequality

    變分不等式問題與無約束最優化問題
  3. However, in existing global newton ' s methods a linearized variational inequality subproblem has to be solved at each iteration, whose computational cost is equivalent with a qp problem, and the local fast convergence is usually established theoretically incompletely

    通過應用fiseher一burmeister非線性互補問題函數， h . qi和l . qi在17 ]中對以前的qp一free演算法做了有效的改進，使得迭代矩陣的一致非奇異性得到保證。
  4. Also, we give characteriza - tions of the set of solutions for ( ivep ) in case of nonmonotonicity, weak c - pseudomonotonicity, c - pseudomonotonicity and strict c - pseudomonotonicity, respectively. under these assumptions and additional conditions, we conclude that " the sets of solutions for ( ivep ) are nonempty, closed and convex. finally, we give some applications of ( ivep ) to vector variational inequality problems and vector optimization problems

    通過有力的證明和具體的例子，我們可以斷定在一定條件下隱式向量均衡問題（ ivep ）的解集是不空、閉和凸的；最後在第五節里，我們舉出了一些隱式向量均衡問題（ ivep ）應用到向量變分不等式問題和向量優化問題的例子。
  5. A new class of abstractly generalized bi - quasi - variational inequality on paracompact sets

    仿緊集上新型抽象廣義雙擬變分不等式
  6. Solving of variational inequality with alternate direction method including extensive variable penalty factor

    用帶廣義可變罰因子的交替方向法求解變分不等式
  7. The generalized variational inequality problem in banach spaces

    空間中集值映射的廣義變分不等式問題
  8. Some important algorithms for nonlinear optimization problems are studied in this dissertation. the aim of this dissertation is to give some theoretical analysis. chapter 1 is the introduction of this dissertation, which introduces the variational inequality problem and the complementarity problem, the context of this dissertation and the main results obtained in this dissertation

    本文主要是對非線性最優化問題中的若干重要演算法的理論分析作了探討，包括約束最優化問題中的梯度投影方法以及求解變分不等式和互補問題的幾類演算法，主要是集中在這幾種演算法的收斂性分析上。
  9. A continuation method for solving variational inequality problems

    連續化方法求解變分不等式問題
  10. Existence of the solutions of the variational inequality problem with a maximal monotone set - valued map on a reflexive banach space

    空間中極大單調集值映射變分不等式的解的存在性
  11. A new smoothing newton algorithm for sloving box constrained variational inequality is proposed by using chen - harker - kanzow - smale smoothing function

    利用chen - harker - kanzow - smale光滑函數提出了一種解箱約束變分不等式的光滑牛頓法。
  12. Abstract : this paper gives the constant coefficient investment - consumption model under transaction costs and discusses an important property of assets discount, i. e. the asset discount function is a basic conponent of an viscosity supersolution of the variational inequality

    文摘:在有交易費的常系數投資消費模型下，討論了資產折算的一個重要的基本性質，即給出了資產折算函數是變分不等式的粘性上解這一基本結果。
  13. Mayor : operation and control theory author : cheng - jia gao advisor : prof. nan - jing huang abstract : this paper includes two chapters. in the first part, we concerns optimization problems with quasi - variational inequality constraints

    =本文包括兩部分第一部分，我們研究具擬變分不等式約束的優化問題運用有限維空間s
  14. The origin of variational inequality can be traced back to the study concerning partial differential equation by stampacchia and hartman in the i960 " s. however, variational inequality was developed as a means of studying partial differential equation

    變分不等式的起源可以追溯到二十世紀六十年代stampacchia與hartman關于偏微分方程的研究，而變分不等式是作為研究偏微分方程的一種工具出現的。
  15. 2. vector f - complementarity problem, general vector variational inequality, and least element problem of feasible set

    向量f -互補問題，廣義向量變分不等式以及可行集的最小元問題。
  16. The market equilibrium model of network products with infinite dimensional variational inequality

    網路產品市場均衡無窮維變分模型
  17. On vector quasi - variational inequality problems in generalized convex spaces

    廣義凸空間中向量值擬變分不等式問題
  18. The variational inequality has close relations with the theory of extreme value theory and partial differential equation, therefore, it has been extended to infinite dimensional space during the progress of relevant studies

    他們研究的變分不等式具有如下形式：這種變分不等式與極值理論和偏微分方程都有密切聯系。因此人們在研究中已經把它推廣到了無限維空間。
  19. The minimax theorem and variational inequality in interval space

    區間空間中的極大極小定理和變分不等式
  20. It is also one of focal point problems paid close attention by scholars in the field of applied mathematics. this paper is devoted to studying systematically the algorithms of general variational inequality problems, including general strongly monotone variational inequality, general monotone variational inequality, general pseudomonotone variational inequality, and multivalued general mixed quasi - variational inequality, which are the unity and extension of a large number of known variational inequalities and mixed variational inequalities

    本文較為系統地研究了一般變分不等式問題的演算法，其中包括一般單調變分不等式，一般強單調變分不等式，一般偽單調變分不等式和一般集值混合擬變分不等式等，這些一般變分不等式統一和推廣了許多已有的變分不等式問題。
分享友人
分享到 Line

分享到臉書