期刊论文

Liu, Zhongyun

英文

Mathematics

2227-7390

2020

8

9

1503

10.3390/math8091503

This research was funded by the National Natural Science Foundation of China (grant numbers 11371075 and 11771453), the Hunan Key Laboratory of mathematical modeling and analysis in engineering, Natural Science Foundation of Hunan Province (grant number 2020JJ5267) and the Scientific Research Funds of Hunan Provincial Education Department (grant number 18C877). Funding: This research was funded by the National Natural Science Foundation of China (grant numbers 11371075 and 11771453), the Hunan Key Laboratory of mathematical modeling and analysis in engineering, Natural Science Foundation of Hunan Province (grant number 2020JJ5267) and the Scientific Research Funds of Hunan Provincial Education Department (grant number 18C877).

本校为通讯机构

The progressive iterative approximation (PIA) plays an important role in curve and surface fitting. By using the diagonally compensated reduction of the collocation matrix, we propose the preconditioned progressive iterative approximation (PPIA) to improve the convergence rate of PIA. For most of the normalized totally positive bases, we show that the presented PPIA can accelerate the convergence rate significantly in comparison with the weighted progressive iteration approximation (WPIA) and the progressive iterative approximation with differe...