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Neville's Iterated Interpolation To evaluate the interpolating polynomial P on the n + 1 distinct numbers xo....,,, at the number x for the function f: INPUT numbers x, Xo, X₁,...,xn; values f(xo), f(x₁),..., f (x) as the first column 20,0 1,0 0 of Q. OUTPUT the table Q with P(x) = Q Step 1 For i=1,2,...,n for j = 1,2,...,i set Qij = Step 2 OUTPUT (Q); STOP. (x − xj-j)Qi, j–1 — (x − x₁) Qi-1.j-1 đi Ninh ■

Neville's Iterated Interpolation To evaluate the interpolating polynomial P on the n + 1 distinct numbers xo....,,, at the number x for the function f: INPUT numbers x, Xo, X₁,...,xn; values f(xo), f(x₁),..., f (x) as the first column 20,0 1,0 0 of Q. OUTPUT the table Q with P(x) = Q Step 1 For i=1,2,...,n for j = 1,2,...,i set Qij = Step 2 OUTPUT (Q); STOP. (x − xj-j)Qi, j–1 — (x − x₁) Qi-1.j-1 đi Ninh ■

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Make an actual code equivalent in MATLAB. Include the table showing the parameter values for each interpolation/iteration. Include graphs.

Neville's Iterated Interpolation To evaluate the interpolating polynomial P on the n + 1 distinct numbers xo,...,x, at the number x for the function f: INPUT numbers x, X0,X₁,...,x; values f(xo), f(x₁),..., f(x) as the first column 0,0,1,0,n,o of Q. OUTPUT the table Q with P(x) = Qn.n Step 1 For i = 1,2,...,n for j = 1,2,...,i set Qij = Step 2 OUTPUT (Q): STOP. (x − xi-j)Qi, j-1 — (x − xi) Qi-1.j-1 XiXing
Transcribed Image Text:Neville's Iterated Interpolation To evaluate the interpolating polynomial P on the n + 1 distinct numbers xo,...,x, at the number x for the function f: INPUT numbers x, X0,X₁,...,x; values f(xo), f(x₁),..., f(x) as the first column 0,0,1,0,n,o of Q. OUTPUT the table Q with P(x) = Qn.n Step 1 For i = 1,2,...,n for j = 1,2,...,i set Qij = Step 2 OUTPUT (Q): STOP. (x − xi-j)Qi, j-1 — (x − xi) Qi-1.j-1 XiXing
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