caa a22 4500 467939462 CHVBK 20180406153008.0 cr unu---uuuuu 170328e20060701xx s 000 0 eng 10.1007/s10444-004-7633-0 doi (NATIONALLICENCE)springer-10.1007/s10444-004-7633-0 Total positivity and the existence of piecewise exponential B-splines [Elektronische Daten] [Tom Lyche, Marie-Laurence Mazure] We give necessary and sufficient conditions for the total positivity of certain connection matrices arising in piecewise exponential spline spaces. These total positivity conditions are sufficient for existence of B-splines in such spaces, but they are far from being necessary. We give a necessary and sufficient condition for existence of B-splines in the case of piecewise exponential spline spaces with only two differential operators, which eventually leads to a necessary condition for any piecewise exponential spline spaces. Springer, 2006 Chebyshev systems nationallicence piecewise exponential splines nationallicence B-spline basis nationallicence total positivity nationallicence blossoms nationallicence Lyche Tom Institutt for informatikk and CMA, Universitetet i Oslo, Blindern, P.B. 1053, 0316, Oslo, Norway aut Mazure Marie-Laurence Laboratoire de Modélisation et Calcul (LMC-IMAG), Université Joseph Fourier, BP 53, 38041, Grenoble cedex, France aut Advances in Computational Mathematics Kluwer Academic Publishers 25/1-3(2006-07-01), 105-133 1019-7168 25:1-3<105 2006 25 10444 https://doi.org/10.1007/s10444-004-7633-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10444-004-7633-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lyche Tom Institutt for informatikk and CMA, Universitetet i Oslo, Blindern, P.B. 1053, 0316, Oslo, Norway aut NATIONALLICENCE 700 1- Mazure Marie-Laurence Laboratoire de Modélisation et Calcul (LMC-IMAG), Université Joseph Fourier, BP 53, 38041, Grenoble cedex, France aut NATIONALLICENCE 773 0- Advances in Computational Mathematics Kluwer Academic Publishers 25/1-3(2006-07-01), 105-133 1019-7168 25:1-3<105 2006 25 10444 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer