Title
The Chebyshev Accelerating Method For Progressive Iterative Approximation
Abstract
This paper proposes a new accelerating method for the progressive iterative approximation by using normalized totally positive bases. We prove that the method achieves an order-of-magnitude improvement compared to the weighted progressive iterative approximation. Moreover, we have shown that the well-known weighted progressive iterative approximation is a special application of the proposed method. The convergence is also analysed for all normalized totally positive bases. At the end, some numerical examples are given to illustrate the efficiency of the proposed method.
Year
DOI
Venue
2017
10.4310/cis.2017.v17.n1.a2
COMMUNICATIONS IN INFORMATION AND SYSTEMS
DocType
Volume
Issue
Journal
17
1
ISSN
Citations 
PageRank 
1526-7555
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Chengzhi Liu100.68
Xuli Han215922.91
Juncheng Li321.39