strongly monotone meaning in English
强单调
Examples
- 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
在算子f为g -强单调的条件下,证明了算法的全局收敛性,并给出了其数值实验结果。 - 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
利用广义的d -间隙函数提出一种无需计算函数梯度的算法,进一步证明此算法产生的每一聚点都是原变分不等式的解。 - 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
在消费者偏好函数是强凸、连续和严格单调的条件下,给出了不可分市场的一般均衡存在定理,因而也给出了离散空间中一般均衡存在的一个充分条件 - 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
更进一步,当广义d -间隙函数g _ ( )中的参数取值于某一区间时,证明了函数g _ ( )对于强单调变分不等式而言,具有有界的水平集,同时,给出了算法的一个误差界估计,它部分回答了yamashita等人提出的一个问题。 - 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
本文较为系统地研究了一般变分不等式问题的算法,其中包括一般单调变分不等式,一般强单调变分不等式,一般伪单调变分不等式和一般集值混合拟变分不等式等,这些一般变分不等式统一和推广了许多已有的变分不等式问题。
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