Let P2(R) have the inner product, (p, q) = f* p(x) q(x) dx, Vp, q € P₂ (R). Find the best approximation of f(x) = x³ + x¹ by polynomials in P₂(R).
Let P2(R) have the inner product, (p, q) = f* p(x) q(x) dx, Vp, q € P₂ (R). Find the best approximation of f(x) = x³ + x¹ by polynomials in P₂(R).
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.4: The Lu Factorization
Problem 34EQ
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