强单调 meaning in English
strongly monotone
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。 - If the bifunction involving the multivalued general mixed quasi - variational inequalities is skew - symmetric , then the new predictor methods is shown that the convergence of the new method requires the partically relaxed strong monotonicity property of the operator , which is a weaker condition than cocoecivity
如果混合集值拟变分不等式中的双函数是斜对称的，则预估?校正算法的收敛性只要求映射是g -局部放松强单调的即可，这是一个比g -强制性更弱的条件。 - 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。