Given a cubic spline interpolation: So(x) = 1+ a,x – x³; s,(x) = 2 + E-1 ak Px(x); if 0sx<1 if 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter9: Systems Of Equations And Inequalities
Section9.5: Systems Of Linear Equations In More Than Two Variables
Problem 43E
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Given a cubic spline interpolation:
So(x) = 1+ a,x – x³;
S,(x) = 2+E1 ak Px(x);
if 0sx<1
if 1<x<2'
S(x) =
where {Px(x)} are
Chebyshev polynomials. Determine constants {ax)-o so that all conditions for a natural
cubic spline hold.
Transcribed Image Text:Given a cubic spline interpolation: So(x) = 1+ a,x – x³; S,(x) = 2+E1 ak Px(x); if 0sx<1 if 1<x<2' S(x) = where {Px(x)} are Chebyshev polynomials. Determine constants {ax)-o so that all conditions for a natural cubic spline hold.
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