Lagrange interpolation and partial fraction decomposition

Правка en1, от adamant, 2021-12-27 02:35:01

Hi everyone!

Today I'd like to write yet another blog about polynomials. It's quite well-known that the system

$$$\begin{gather}P(x_0) = y_0, \\ P(x_1) = y_1, \\ \dots \\ P(x_n) = y_n\end{gather}$$$

has a unique solution $$$P(x)$$$ among polynomials of degree at most $$$n$$$. One of direct ways to prove that such a polynomial exists is through Lagrange's interpolation. To have a better grasp of it, let's recall that $

Теги polynomial interpolation, lagrange-interpolation, chinese remainder theo., crt, polynomials, partial fraction

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en11 Английский adamant 2021-12-28 14:17:03 1113 extra about switching from x^k to (x+a)^k
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