@Article{NM-16-63,
author = {Q. Zhao and J. Tan},
title = {Block based bivariate blending rational interpolation via symmetric branched continued fractions},
journal = {Numerical Mathematics, a Journal of Chinese Universities},
year = {2007},
volume = {16},
number = {1},
pages = {63--73},
abstract = {
This paper constructs a new kind of block based bivariate blending
rational interpolation via symmetric branched continued fractions.
The construction process may be outlined as follows. The first step
is to divide the original set of support points into some subsets
(blocks). Then construct each block by using symmetric branched
continued fraction. Finally assemble these blocks by Newton's method
to shape the whole interpolation scheme. Our new method offers many
flexible bivariate blending rational interpolation schemes which
include the classical bivariate Newton's polynomial interpolation
and symmetric branched continued fraction interpolation as its
special cases. The block based bivariate blending rational
interpolation is in fact a kind of tradeoff between the purely
linear interpolation and the purely nonlinear interpolation.
Finally, numerical examples are given to show the effectiveness of
the proposed method.},
issn = {},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/nm/10079.html}
}