用matlab把雅可比迭代的程序写出来

用matlab把雅可比迭代的程序写出来

function [x, error, iter, flag] = jacobi(A, x, b, max_it, tol)
% jacobi.m solves the linear system Ax=b using the Jacobi Method.
%
% input A REAL matrix
% x REAL initial guess vector
% b REAL right hand side vector
% max_it INTEGER maximum number of iterations
% tol REAL error tolerance
%
% output x REAL solution vector
% error REAL error norm
% iter INTEGER number of iterations performed
% flag INTEGER: 0 = solution found to tolerance
% 1 = no convergence given max_it
iter = 0; % initialization
flag = 0;
bnrm2 = norm( b );
if ( bnrm2 == 0.0 ), bnrm2 = 1.0; end
r = b - A*x;
error = norm( r ) / bnrm2;
if ( error < tol ) return, end
[m,n]=size(A);
[ M, N ] = split( A , b, 1.0, 1 ); % matrix splitting
for iter = 1:max_it % begin iteration
x_1 = x;
x = M \ (N*x + b); % update approximation
error = norm( x - x_1 ) / norm( x ); % compute error
if ( error <= tol )
break
end % check convergence
end
if ( error > tol )
flag = 1;
end % no convergence

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