期刊论文

中文

邵阳学院学报(自然科学版)

1672-7010

2019

16

3

1-5

10.3969/j.issn.1672-7010.2019.03.001

国家自然科学基金资助项目(11371075).

本校为第一机构

基于迭代精化的基本思想,利用系数矩阵的特殊结构,提出了求解特殊块三对角Toeplitz线性方程组的方法-精化迭代法,它大大提高了解的精确值。该方法的特点是方法简单、稳定性好、解精度高、收敛速度快。最后,将此方法应用于三次均匀B样条曲面拟合,数值实验体现了其高效性。

Based on the basic idea of iterative refinement and the special structure of coefficient matrices,a method called the refined iterative method for solving special block tridiagonal Toeplitz linear systems of equations is proposed,which could greatly improve the accuracy of exact solution.The method is characterized by its simple scheme,numerical stability,high precision and fast convergence.Finally,we apply this method to surface-fitting of cubic uniform B-spline sur...