Compute p(3), where p E Pol,(R) is the interpolation polynomial to the data p(1) = 1, p(1) = 4, p(2) = 3, p(2) = 1 Here p(3) should be calculated with a Neville-Scheme, without first the coefficients of p to be determined.

Compute p(3), where p E Pol,(R) is the interpolation polynomial to the data p(1) = 1, p(1) = 4, p(2) = 3, p(2) = 1 Here p(3) should be calculated with a Neville-Scheme, without first the coefficients of p to be determined.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 17EQ

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Concept explainers

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.

Question

Compute p(3), where pe Polg(R) is the interpolation polynomial to the data
p(1) = 1, p'(1) = 4, p(2) = 3, p'(2) = 1
Here p(3) should be calculated with a Neville-Scheme, without first the coefficients of p to be
determined.

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