@Article{IJNAM-12-328,
author = {Yang Zhou},
title = {Discrete Least Squares Hybrid Approximation with Regularization on the Two-Sphere},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2015},
volume = {12},
number = {2},
pages = {328--342},
abstract = {<p style="text-align: justify;">In this paper we consider the discrete constrained least squares problem coming
from numerical approximation by hybrid scheme on the sphere, which applies both radial basis
functions and spherical polynomials. We propose a novel $l_2-l_1$ regularized least square model
for this problem and show that it is a generalized model of the classical &quot;saddle point&quot; model.
We apply the alternating direction algorithm to solve the $l_2-l_1$ model and propose a convenient
stopping criterion for the algorithm. Numerical results show that our model is more efficient and
accurate than other models.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/492.html}
}