The first 100 recurrence coefficients for cardinal Bspline weight functions of order m=[1:10 12 15 20]

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By Walter Gautschi

Purdue University

The first 100 recurrence coefficients for the weight function w(x)=φ_m(x), m=1, 2, . . . , 10, 12, 15, 20

Version 1.0 - published on 27 Feb 2017 doi:10.4231/R77942P7 - cite this Archived on 28 Mar 2017

Licensed under Attribution 3.0 Unported


Plots are generated, using the routines plot_cBspline.m, plot_alpha_cBspline, runplot_sr_cBspline.m, of the weight function w(x)=φ_m(x) on [0,m], for m=1, 2, . . . , 10, 12, 15, 20, and of the corresponding first 100 recurrence coefficients. Run times, for each "m", vary between 1/2 min and 7 min, and for all 13 values of "m", the run times is about 12 min.

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The dataset consists of twelve Matlab scripts and three eps files.

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