摘要
推广了折线样条插值中泛函极小问题的数学模型。将二次泛函离散化后用罚函数方法处理约束条件，根据最优性条件导出五点差分格式，证明了迭代法求解大型方程组的收敛定理。数值计算实例说明该方法解决散乱数据插值问题的有效性。
Minimum problems of functional about polygon spline interpolation are extended in this paper, which treat the constraints with penalty function method after quadratic functional being discreted. Five-point difference schemes are obtained according to optimal condition. The convergence theorem shows that iteration method can be used to solve large systems. Through a computation example, the method is proved to be available to solve the problems about interpolation of scattered data.
出处
《电子科技大学学报》
EI
CAS
CSCD
北大核心
2001年第1期91-94,共4页
Journal of University of Electronic Science and Technology of China
关键词
二次泛函
差分格式
迭代算法
散乱数据插值
quadratic functional
penalty function
difference scheme
iteration method
