Document Type
Conference Proceeding
Publication Date
5-31-2019
Abstract
Consider a finite set of points {(x1, y1), (x2, y2), . . . , (xk , yk )} in R2. The Lagrange’s interpolation problem is to find a polynomial p(x) of degree k − 1 satisfying p(xi) = yi for 1 ≤ i ≤ k. We will recall the solution to Lagrange’s interpolation problems as an instance of the Chinese Remainder Theorem. Next, we will show that a similar approach can be used to construct solutions to a system of linear equations.
Recommended Citation
Jiménez, Jesús, "Lagrange's Interpolation, Chinese Remainder, and Linear Equations" (2019). ACMS Conference Proceedings 2019. 9.
https://pillars.taylor.edu/acms-2019/9
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