TY - JOUR
T1 - On the Generalized Inverse Neville-Type Matrix-Valued Rational Interpolants
AU - Zhibing Chen
JO - Journal of Computational Mathematics
VL - 2
SP - 157
EP - 166
PY - 2003
DA - 2003/04
SN - 21
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/10268.html
KW - Generalized inverse for matrices, Neville-type, Rational interpolants.
AB - <p style="text-align: justify;">&nbsp;A new kind of matrix-valued rational interpolants is recursively established by means of generalized Samelson inverse for matrices, with scalar numerator and matrix-valued denominator. In this respect, it is essentially different from that of the previous works [7, 9], where the matrix-valued rational interpolants is in Thiele-type continued fraction form with matrix-valued numerator and scalar denominator. For both univariate and bivariate cases, sufficient conditions for existence, characterisation and uniqueness in some sense are proved respectively, and an error formula for the univariate interpolating function is also given. The results obtained in this paper are illustrated with some numerical examples.</p>