@Article{JCM-3-238,
author = {Guo-Liang Xu and Jia-Kai Li},
title = {On the Solvability of Rational Hermite-Interpolation Problem},
journal = {Journal of Computational Mathematics},
year = {1985},
volume = {3},
number = {3},
pages = {238--251},
abstract = {<p style="text-align: justify;">The solvability of the rational Hermite-interpolation problem is investigated through an approach similar to that developed in an earlier paper [1] for the ordinary case. However, the subsequent deduction of analogous results involves much complications. The Quasi-Rational Hermite Interpolant $r_{mn}^{*}$ is introduced. In the case of $r_{mn}^{*}$ being nondegenerate, its explicit expression is given. Working with the notion of l-fold unattainable point and using algebraic elaboration, we have successively established several theorems concerning interpolating properties of $r_{mn}^{*}$ and, in particular, obtained existence theorems for the solution of the proposed problem. &nbsp;</p>},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/9621.html}
}