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[File Format] eliminationgauss DL : 0: Systems of linear equations Our Matlab function for naive Gaussian elimination looks like this: function x = naiv_gauss(A,b) n = length(b) x = zeros(n,1) for k=1:n-1 forward elimination for i=k+1:n xmult = A(i,k)/A(k,k) for j=k+1:n A(i,j) = A(i,j)-xmult*A(k,j) end b(i) = b(i)-xmult*b(k) end end back substitution x(n) = b(n)/A(n,n) for i=n-1:-1:1 sum = b(i) for j=i+1:n sum = sum-A(i,j)*x(j) end x(i) = sum/A(i,i) end-Systems of linear equations Our Matlab function for naive Gaussian elimination looks like this: function x = naiv_gauss(A,b) n = length(b) x = zeros(n,1) for k=1:n-1 forward elimination for i=k+1:n xmult = A(i,k)/A(k,k) for j=k+1:n A(i,j) = A(i,j)-xmult*A(k,j) end b(i) = b(i)-xmult*b(k) end end back substitution x(n) = b(n)/A(n,n) for i=n-1:-1:1 sum = b(i) for j=i+1:n sum = sum-A(i,j)*x(j) end x(i) = sum/A(i,i) end
Date : 2025-12-17 Size : 37kb User : amine