Gram-Schmidt and the Legendre Polynomials of Small Degree
Автор: Mike, the Mathematician
Загружено: 2024-06-29
Просмотров: 776
Описание:
We apply the Gram-Schmidt algorithm to the set of polynomials {1, x ,x^2} with respect to the standard inner product on the space of continuous functions on [-1,1]. The orthogonalization procedure results in the first three Legendre polynomials (up to a normalization). These polynomials occur in many partial differential equations as we will see if further videos.
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