caa a22 4500 465821456 CHVBK 20180323112136.0 cr unu---uuuuu 170327e19900601xx s 000 0 eng 10.1007/BF02017352 doi (NATIONALLICENCE)springer-10.1007/BF02017352 Reichel Lothar Bergen Scientific Centre, Thormøhlensgaten 55, N-5008, Bergen, Norway aut Newton interpolation at Leja points [Elektronische Daten] [Lothar Reichel] The Newton form is a convenient representation for interpolation polynomials. Its sensitivity to perturbations depends on the distribution and ordering of the interpolation points. The present paper bounds the growth of the condition number of the Newton form when the interpolation points are Leja points for fairly general compact sets K in the complex plane. Because the Leja points are defined recursively, they are attractive to use with the Newton form. If K is an interval, then the Leja points are distributed roughly like Chebyshev points. Our investigation of the Newton form defined by interpolation at Leja points suggests an ordering scheme for arbitrary interpolation points. BIT Foundations, 1990 polynomial interpolaton nationallicence Newton form nationallicence stability nationallicence Leja points nationallicence ordering of interpolation points nationallicence BIT Kluwer Academic Publishers 30/2(1990-06-01), 332-346 0006-3835 30:2<332 1990 30 10543 https://doi.org/10.1007/BF02017352 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02017352 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Reichel Lothar Bergen Scientific Centre, Thormøhlensgaten 55, N-5008, Bergen, Norway aut NATIONALLICENCE 773 0- BIT Kluwer Academic Publishers 30/2(1990-06-01), 332-346 0006-3835 30:2<332 1990 30 10543 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer