一类修正Hager-Zhang共轭梯度法的收敛性及其数值实验

为有效提高求解无约束优化问题的计算效率, 提出一类新的修正Hager-Zhang共轭梯度法, 该算法不依赖线搜索, 具有充分下降性和信赖域性质. 理论研究结果表明, 在常规假设条件下, 新算法不仅在弱Wolfe-Powell线搜索下对一般函数全局收敛, 且对一致凸函数具有R-线性收敛速度. 数值实验结果表明, 新算法比经典Hager-Zhang算法及其两个修正算法性能更优.     

余挠对与余倾斜模

通过研究余挠对与余倾斜模的性质,给出了完备遗传余挠对的核是余倾斜模的直积的直和项的充分条件.     

Fuzzy R一模的同态及其性质

本文着重讨论了ＦｕｚｚｙＲ一模（即Ｆ一模）的同态及同态映射性质。     

Z_2对称奇点理论的若干命题和定理

本文指出由Golubitsky和Schaeffer给出的恒等关系Itr(F,Z_2)=(ItrF)·{x}是错误的。在此给出了Z_2对称奇点理论的若干结论,重新证明了Golubitsky和Langford关于规范形的两个重要定理。借助同样的思想,可以重新给出非对称情形下相应规范形定理的证明,以弥补原证明中的漏洞。     

广义强非线性变分包含的扰动算法

研究了求广义强非线性变分包含逼近解的迭代扰动算法，作为特殊情形，得到了在这个研究领域的一些已知结果．     

EXISTENCE AND ALGORITHM OF SOLUTIONS FOR GENERALIZED STRONGLY MIXED IMPLICIT QUASI-VARIATIONAL INEQUALITIES

The purpose of this paper is to introduce and study a new class of generalized strongly mixed implicit quasi-variational inequalities in Hilbert spaces, which includes the known class of generalized mixed implicit quasi-variational inequalities as a special case. By applying the auxiliary variational principle technique, the existence of solutions for this class of quasi-variational inequalities is proved. Moreover, a new iterative algorithm for computing approximate solutions is constructed and the convergence criteria for this iterative algorithm are also established.     

GABA-A-mediated gastrin release induced by baclofen in the isolated vascularly perfused rat stomach

Summary In order to investigate the role of peripheral GABA-B receptors, the effects of the putative GABA-B agonist baclofen on immunoreactive gastrin release from an isolated vascularly perfused rat stomach preparation were examined. The vascular infusion of baclofen at graded concentrations induced a dose-dependent increase in gastrin release; this was unaffected by the GABA-B antagonist delta-aminovaleric acid, but was fully prevented by the selective GABA-A antagonist bicuculline as well as by atropine or tetrodotoxin. These results suggest that the stimulant effects of baclofen are mediated by nervous cholinergic structures, associated with GABA-A receptors, and indicate that this GABA-B agonist must be regarded as a partial agonist of peripheral GABA-A receptors.     

一致光滑Banach空间中一类广义Lipschitz映象的扰动迭代程序

研究了广义Lipschitz强增生映象的扰动Mann及Ishikawa迭代过程的收敛性，统一推广了近期的许多相关结果。     

基于VRS的SE-DEA模型可行性的研究

通过一种改进的DEA模型——SE-DEA模型可以对决策单元进行充分比较和排序，但在可变规模收益(VRS)条件下，这种模型可能不存在可行解，定义了超有效和强超有效决策单元，对基于VRS的SE-DEA模型的可行性进行了研究，证明了评价某决策单元的SE-DEA(VRS)模型是不可行的充分必要条件是该决策单元为超有效，给出了用SE-DEA(VRS)模型对决策单元进行评价与排序的方法步骤，将决策单元按强超有效、超有效、一般有效和非有效进行排序，最后将这些理论与方法应用于评价产业经济相对有效性的实际。     

Banach空间的粗糙性

本文综述粗糙性与光滑性、可微性之关系及与粗糙性有关的结果.