(i) What is an advantage of cubic spline interpolation compared to Lagrange interpolation?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 86E
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QUESTION:
(i) What is an advantage of cubic spline
interpolation compared to Lagrange
interpolation?
(ii) Derive the system of linear equations
required to construct a natural cubic spline
that passes through the points (5,5), (7,0) and
(9,4).
please answer fully and neatly, thank you.
Transcribed Image Text:QUESTION: (i) What is an advantage of cubic spline interpolation compared to Lagrange interpolation? (ii) Derive the system of linear equations required to construct a natural cubic spline that passes through the points (5,5), (7,0) and (9,4). please answer fully and neatly, thank you.
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