Problem 1015. Polynomial Interpolation

Created by Robert Canfield

Difficulty:Rate

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Given a set of measurements of dependent variables in a vector, Y, that vary with one independent variable in a vector, X, calculate the interpolating polynomial. Output is the interpolated value for a given value of x, as well as the condition number of the Vandermonde coefficient matrix.

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Last Solution submitted on Jun 01, 2025

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J.R.! Menzinger on 29 Apr 2013

Mr. Google was not clear enough...
What is the "condition number of the Vandermonde coefficient matrix"??
:-/

(the rest was easy.. ;-) )
J.R.!

Binbin Qi on 25 Oct 2014

http://en.wikipedia.org/wiki/Polynomial_interpolation

Rafael S.T. Vieira on 26 Oct 2020

FYI: The condition number of the Vandermonde coefficient matrix is just the norm of the matrix times the norm of its inverse. Cheers.

PS: Wikipedia will just lead you to a paid wall. Don't waste time.

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Problem 1015. Polynomial Interpolation

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Problem 1015. Polynomial Interpolation

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