摘要
本文研究了三次B样条曲线插值问题。首先,我们将配置矩阵进行下上三角分裂,然后基于该下上三角分裂提出了(Lower Upper Triangular Splitting-Progressive Iterative Approximation) LUTS-PIA算法,并证明了该算法的收敛性。最后,数值实验结果表明:LUTS-PIA算法明显优于(Hermitian and Skew-Hermitian Splitting-Progressive Iterative Approximation) HSS-PIA算法。
The cubic B-spline curve interpolation problem is studied in this paper. First, we split the allocation matrix into lower and upper triangular parts called lower upper triangular splitting (LUTS). Based on this LUTS, we propose lower upper triangular splitting-Progressive Iterative Approximation (LUTS-PIA) algorithm and prove its convergence. Finally, we test some numerical experiments which show that LUTS-PIA has a better convergence behavior than the HSS-PIA.
出处
《应用数学进展》
2023年第10期4216-4223,共8页
Advances in Applied Mathematics
