On the Solvability of Rational Hermite-Interpolation Problem
Year: 1985
Journal of Computational Mathematics, Vol. 3 (1985), Iss. 3 : pp. 238–251
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1985-JCM-9621
Journal of Computational Mathematics, Vol. 3 (1985), Iss. 3 : pp. 238–251
Published online: 1985-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14