A sequence of orthogonal polynomials usually satisfies a three-term recurrence relation. For example, the Chebyshev polynomials are related by
where
a) Make the change of variables
b) Using part a), show that
c) Use induction to show that
d) Use (R) to calculate
28. An inner product on
Starting with the set
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Introduction to Linear Algebra (Classic Version) (5th Edition) (Pearson Modern Classics for Advanced Mathematics Series)
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning