神经网络在非线性规划中的应用

本对蔡少棠等提出的非线性规划神经网络作了改进，使得该神经网络适合于通用VLSI技术实现。     

物理实验教学应该重视的三个方面

实施素质教育的物理实验教学，是科学性与技术性的统一，本文从技术的角度立意，阐明了当今中学物理实验教学改革中应该重视的三个方面：操作技术，故障排除与反思心理。     

Superlinearly convergent affine scaling interior trust-region method for linear constrained LC<Superscript>1</Superscript> minimization

We extend the classical affine scaling interior trust region algorithm for the linear constrained smooth minimization problem to the nonsmooth case where the gradient of objective function is only locally Lipschitzian. We propose and analyze a new affine scaling trust-region method in association with nonmonotonic interior backtracking line search technique for solving the linear constrained LC1 optimization where the second-order derivative of the objective function is explicitly required to be locally Lipschitzian. The general trust region subproblem in the proposed algorithm is defined by minimizing an augmented affine scaling quadratic model which requires both first and second order information of the objective function subject only to an affine scaling ellipsoidal constraint in a null subspace of the augmented equality constraints. The global convergence and fast local convergence rate of the proposed algorithm are established under some reasonable conditions where twice smoothness of the objective function is not required. Applications of the algorithm to some nonsmooth optimization problems are discussed.     

技术市场聚类和预测

本依据1993～2000年全国及各省、市、自治区技术市场成交额，用聚类分析的方法分析了我国技术市场的发展状况，进而利用最小二乘法建立了我国技术市场的预测模型。实例计算表明模型是有效的。     

区域上Triebel-Lizorkin空间的分解

文中引进了区域上的Triebel-Lizorkin空间,以及原子和分子的概念,为了更好的理解这些空间,我们得到了这类Triebel-Lizorkin空间的原子分解和分子分解.这些结论是调和分析中函数空间分解理论的补充和完善.