strongly monotone 中文意思是什麼
strongly monotone
解釋
強單調-
Moreover, when the parameter is chosen in a certain interval, it is proved that the generalized d - gap function g has bounded level sets for the strongly monotone vip. an error bound estimation of the algorithm is obtained, which partially gives an answer to the question raised by yamashita ( 1997 ) et al
更進一步，當廣義d -間隙函數g _ （ ）中的參數取值于某一區間時，證明了函數g _ （ ）對于強單調變分不等式而言，具有有界的水平集，同時，給出了演算法的一個誤差界估計，它部分回答了yamashita等人提出的一個問題。 -
By changing the perturbution to strongly monotone vip, basing on the equivalent d - gap function, a derivative - free algorithm is given, and each accumulation point obtained by this algorithm is a solution to the original vip under suitable conditions
利用廣義的d -間隙函數提出一種無需計算函數梯度的演算法，進一步證明此演算法產生的每一聚點都是原變分不等式的解。 -
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。 -
An easy checking criterion for a minimal monotone transition function to be strongly ergodic is then obtained. we further prove that a non - minimal ergodic monotone transition function is always strongly ergodic
對于最小隨機單調轉移函數的強遍歷，給出了非常容易檢驗的準則，此外，我們還證明了非最小隨機單調轉移函數強遍歷當且僅當它是遍歷的。 -
The resulting algorithm is globally convergent for strongly monotone operator. numerical results and comparison with some existing projection - type methods are also given to illustrate the efficiency of the proposed method
在運算元f為g -強單調的條件下，證明了演算法的全局收斂性，並給出了其數值實驗結果。 -
This paper generalizes the general equilibrium theorem to the case of indivisible markets where preferences is strictly convex, continuous and strongly monotone. the authors thus give a sufficient condition on the existence of discrete equilibrium
在消費者偏好函數是強凸、連續和嚴格單調的條件下，給出了不可分市場的一般均衡存在定理，因而也給出了離散空間中一般均衡存在的一個充分條件 -
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