TY - JOUR
AU - Kounchev, Ognyan
AU - Render, Hermann
AU - Tsachev, Tsvetomir
PY - 2022/02/02
Y2 - 2023/03/23
TI - L-Spline Interpolation for Differential Operators of Order 4 with Constant Coefficients
JF - Proceedings of the Bulgarian Academy of Sciences
JA - C. R. Acad. Bulg. Sci.
VL - 75
IS - 1
SE - Mathematics
DO - 10.7546/CRABS.2022.01.02
UR - https://proceedings.bas.bg/index.php/cr/article/view/2
SP - 11-18
AB - <div class="page" title="Page 1"><div class="layoutArea"><div class="column"><p>In this paper it is shown that many features from polynomial spline methods used in nonparametric regression and smoothing procedures carry over to the class of L-splines where L is a linear differential operator of order 4 with constant coefficients. Special attention is given to the question whether an analogue of the Reinsch algorithm is valid and criteria are given such that the associated matrix R is strictly diagonal dominant</p></div></div></div>
ER -