Make an actual code equivalent in MATLAB. Include the table showing the parameter values for each interpolate. Include graphs. Newton's Divided-DifferenceFormulaTo obtain the divided-difference coefficients of the interpolatory polynomial P on the (n+1)distinct numbers X0, X₁,...,x, for the function f:INPUT numbers X0,X₁,...,xn; values f(xo), f(x₁),..., f(x) as Fo,0, F1,0,.., F,0-OUTPUT the numbers Fo,0, F1,1, ..., Fnn wherei-1Pn(x) =F0,0 +Fij(x-x₁). (Fij is flxo,X₁,..., X;].)j=0Step 1 For i = 1,2,...,nFor j = 1,2,...,iset FijFij-1-Fi-1j-1X XinhStep 2 OUTPUT (F0,0, F1,1,F);STOP.i=1=(Fij = f[Xi-j,...,x;].) Hermite InterpolationTo obtain the coefficients of the Hermite interpolating polynomial H(x) on the (n + 1)distinct numbers xo,...,x for the function f:INPUT numbers xo, X₁,...,x; values f(xo),..., f(x) and f'(xo),..., f'(x₂).OUTPUT the numbers Q0.0, Q1,1... Q2n+1,2n+1 whereH(x) =Q0,0 +₁,1(x-xo) + Q₂₂(x − xo)² + Q3,3(x − xo)²(x − x₁)+Q4.4(x-xo)²(x − x₁)²+...+Q2n+1,2n+1(x-xo)²(x − x₁)²(x − xn−1)²(x − xn).Step 1 For i = 0, 1,...,n do Steps 2 and 3.Step 2 Set Z2 = XisZ2i+1=X₁;Q21,0 = f(x₁);Q2i+1,0 = f(x₁);Q2i+1,1 = f'(x₂).Step 3 If i #0 then setQ2,1 =Step 4 For i = 2, 3,..., 2n + 1Q21,0-2-1,0Z2i-Z2-1=for j = 2, 3,..., i set Qi.j :Qi.j-1-Qi-1.j-1Zi-Zi-jStep 5 OUTPUT (Q0.0, Q1,1,Q2n+1,2n+1);STOP

Input: Given data points xn and corresponding function values fn.Calculate the number of data points…

Newton's Divided-Difference Formula To obtain the divided-difference coefficients of the interpolatory polynomial P on the (n+1) distinct numbers X0, X₁,...,x, for the function f: INPUT numbers X0,X₁,...,xn; values f(xo), f(x₁),..., f(x) as Fo,0, F1,0,..., Fm,0- OUTPUT the numbers Fo,0, F1,1, ..., Fnn where i-1 Pn(x) = F0,0 + F₁(x-x₁). (Fij is flxo, X₁,.., X;].) i=1 j=0 Step 1 For i = 1, 2,...,n For j = 1,2,...,i Fij-1-Fi-1j-1 set Fij = X Xinh Step 2 OUTPUT (F0,0, F1,1,F); STOP. (Fij = f[Xi-j,...,x].)

Newton's Divided-Difference Formula To obtain the divided-difference coefficients of the interpolatory polynomial P on the (n+1) distinct numbers X0, X₁,...,x, for the function f: INPUT numbers X0,X₁,...,xn; values f(xo), f(x₁),..., f(x) as Fo,0, F1,0,..., Fm,0- OUTPUT the numbers Fo,0, F1,1, ..., Fnn where i-1 Pn(x) = F0,0 + F₁(x-x₁). (Fij is flxo, X₁,.., X;].) i=1 j=0 Step 1 For i = 1, 2,...,n For j = 1,2,...,i Fij-1-Fi-1j-1 set Fij = X Xinh Step 2 OUTPUT (F0,0, F1,1,F); STOP. (Fij = f[Xi-j,...,x].)

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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