The maximal value point s problem of a convex function on a closed convex subset in locally convex space is considered by using the level set of function , - subdifferential and - normal cone . it gives several equivalent characters on the optimal solutions of the problem 利用函数的水平集, -次微分和-法向锥等工具研究局部凸空间的凸函数在闭凸子集上的最大值点问题,给出了最优解的几个等价刻划
We also propose a bfgs method for solving the nonsmooth equation reformulation of the kkt system of the symmetric variational inequality problem . we introduce a parameter in the non - monotone line search . by changing the parameter in a suitable way , we get a descent direction of the bfgs method 对对称变分不等式的kkt系统等价的非光滑方程组,我们利用函数的半光滑性质及其广义导数的某种对称性质,得到相应的bfgs法的一个下降方向。
Based on neural network theory , it takes pressure of upper cavity as secondary variable and punching power as primary variable to build model of soft sensing . thus punching power can be predicted using system pressure because of their functional relation . this type of measurement technology provides a new method to parameters measurement which is n ' t easy to got directly 以液压缸上腔压力为辅助变量,桩锤下打力为主导变量,利用函数型神经网络理论建立了两者之间的软测量模型,找到了液压系统油液压力和桩锤下打力之间的函数关系,从而为获取不易直接测量参数提供一种新方法。
The complete design uses the given functions and releases the low - pass , high - pass , band - pass and the band - stop filters directly . butterworth , chebyshev and caoer filters are used for the implementations . in the fir filter designs , chebyshev and hamming windows are used for a band - pass filter 完全设计方法中我们利用函数直接设计出低通、高通、带通和带阻滤波器,并分别用巴特沃斯( butterworth )滤波器、切比雪夫( chebyshev )滤波器、椭圆( cauer )滤波器来实现,并比较了各自的频率响应曲线。
In the fifth chapter , we use the the methods of function theory establised a class of analytic reproducing kernel space , we call it a generalized arveson space . we study the relationship of these space , and obtain some intersting results , we also defined toeplitz c * - algebra on the generalized areveson space , obtain some results of toeplitz c * - algebra on the generalized areveson space 在第五章中,我们利用函数论的方法建立了更广泛的一类解析的再生核空间,称之为广义arveson空间,讨论了它的一些关系,并得到了一些有趣的结果。还定义了广义arveson空间上的toeplitzc * -代数,建立了广义arveson空间上的toeplitzc * -代数的一些性质。