(a) Using the exact values for x at x = 0, , 9/16 1 , construct...

Question:

(a) Using the exact values for √x at x = 0, ¼ , 9/16 1 , construct the natural cubic spline interpolant.
(b) What is the maximal error of the spline on the interval [0, 1 ]?
(c) Compare the error with that of the interpolating cubic polynomial you found in Exercise 4.4.20.
(d) Which is the better approximation?
(e) Answer (d) using the cubic least squares ap- proximant based on the L2 norm on [0, 1].
Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

Question Posted: