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This is what i have before this question clc; clear all n=30; A1=diag(linspace(-2,-2,n)); A2=diag(linspace(1,1,n-1),1); A3=diag(linspace(1,1,n-1),-1); A=A1+A2+A3 t=transpose(linspace(0,pi,n)) b=cos(5*t)+0.5*sin(7*t) X=A file=fopen('A1.dat','w'); for i=1:n for j=1:n fprintf(file,'%f
This is what i have before this question
clc;
clear all
n=30;
A1=diag(linspace(-2,-2,n));
A2=diag(linspace(1,1,n-1),1);
A3=diag(linspace(1,1,n-1),-1);
A=A1+A2+A3
t=transpose(linspace(0,pi,n))
b=cos(5*t)+0.5*sin(7*t)
X=A
file=fopen('A1.dat','w');
for i=1:n
for j=1:n
fprintf(file,'%f ',A(i,j));
end
fprintf(file,' ');
end
fclose(file);
file=fopen('A2.dat','w');
for i=1:n
fprintf(file,'%f ',b(i));
fprintf(file,' ');
end
fclose(file);
file=fopen('A3.dat','w');
for i=1:n
fprintf(file,'%f ',X(i));
fprintf(file,' ');
end
fclose(file);
Jacobi Iteration Jacobi iteration can be written succinctly as starting with an initial guess xo, and calculating iterates according to the formula Here A- D +T, with D a diagonal matrix whose entries match the diagonal entries of A, and T containing all remaining entries of A We can write the Jacobi iteration even more succinctly by defining so that Problem 2 (Scorelator) Lear nang goal: Use the diag, or triu and tril commands. Learnng goal: Implement the Jacob iterative method for solving Arb. Define the matrices D and T in MATLAB. Look up and use the diag command to define D. Use DT. and b to define M and g for this problem Implement Jacobi iteration to solve the problem A-b. Use an initial guess of all zeros and iterate for 400 iterations. Save the 2-norm of the error of each iterate, ITtrue- Tiacobi Note: In this homework I am not counting the initial guess as an iterate. Save the final iterate to file as A4.dat. Save the errors of the iterates to file as A5.dat. , to a save vector. jacobi ll2Step by Step Solution
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