Make an actual code equivalent in MATLAB.

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.

y
xo
Link (X) =
y = f(x)
y = P(x)
x₁
X₂
In this case we first construct, for each k = 0, 1,..., n, a function Ln(x) with the
property that Ln(x) = 0 when i ‡ k and Ln(x) = 1. To satisfy Ln(x) = 0 for each
i # k requires that the numerator of Ln(x) contain the term
(x-x₁)(x-x₁)(x − Xk-1) (X − Xk+1)
(X-Xn).
To satisfy Ln(x) = 1, the denominator of Ln(x) must be this same term but evaluated at
x = x. Thus
(x-xo)(x-Xk-1) (X — Xk+1) ··· (x − xn)
(xk – x0) … (I – X-1)(- k+i)…(−x)
Transcribed Image Text:y xo Link (X) = y = f(x) y = P(x) x₁ X₂ In this case we first construct, for each k = 0, 1,..., n, a function Ln(x) with the property that Ln(x) = 0 when i ‡ k and Ln(x) = 1. To satisfy Ln(x) = 0 for each i # k requires that the numerator of Ln(x) contain the term (x-x₁)(x-x₁)(x − Xk-1) (X − Xk+1) (X-Xn). To satisfy Ln(x) = 1, the denominator of Ln(x) must be this same term but evaluated at x = x. Thus (x-xo)(x-Xk-1) (X — Xk+1) ··· (x − xn) (xk – x0) … (I – X-1)(- k+i)…(−x)
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