Answer to Question #94290 in Quantitative Methods for Dorcas

Question #94290
The interpolating polynomial of degree \\(\\leq n\\)with the nodes\\(x_{0}, x_{1},\\cdots, x_{n}\\) can be written as
1
Expert's answer
2019-09-12T09:12:37-0400

"p(x) = a_nx^n + a_{n-1}x^{n-1} + \\dots + a_2x^2 + a_1x + a_0, \\\\"

where "p(x_i) = y_i \\text{ for all } i \\in \\{ 0,1,\\dots,n \\}".


Lagrange polynomial: "p(x) = \\sum_{i=0}^n ( \\prod_{0 \\leq j \\leq n; j \\not= i} \\frac{x-x_j}{x_i-x_j} ) y_i"


More detailed info: https://en.wikipedia.org/wiki/Polynomial_interpolation


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment

LATEST TUTORIALS
New on Blog
APPROVED BY CLIENTS