The Convergence of Least-Squares Progressive Iterative Approximation with Singular Iterative Matrix
Numerical Analysis
2017-07-31 v1
Abstract
Developed in [Deng and Lin, 2014], Least-Squares Progressive Iterative Approximation (LSPIA) is an efficient iterative method for solving B-spline curve and surface least-squares fitting systems. In [Deng and Lin 2014], it was shown that LSPIA is convergent when the iterative matrix is nonsingular. In this paper, we will show that LSPIA is still convergent even the iterative matrix is singular.
Cite
@article{arxiv.1707.09109,
title = {The Convergence of Least-Squares Progressive Iterative Approximation with Singular Iterative Matrix},
author = {Hongwei Lin and Qi Cao and Xiaoting Zhang},
journal= {arXiv preprint arXiv:1707.09109},
year = {2017}
}
Comments
12 pages, 2 figures