30 lines
627 B
Matlab
30 lines
627 B
Matlab
function gaussian_elimination_with_complete_pivoting(A)
|
|
|
|
% det(A(mi, lm))
|
|
|
|
[n, m] = size(A);
|
|
if n ~= m
|
|
error('Matrix is not squared!')
|
|
end
|
|
|
|
if det(A) == 0
|
|
error('Matrix is not nonsingular!')
|
|
end
|
|
|
|
for k = 1 : n-1
|
|
i = k:n;
|
|
j = k:n;
|
|
A(i, j);
|
|
maximum = max(abs(A(i, j)), [], 'all')
|
|
max_idx = find(abs(A==maximum))
|
|
[mi, lm] = ind2sub(size(A), max_idx(1))
|
|
A(k, 1:n) = A(mi, 1:n)
|
|
A(1:n, k) = A(1:n, lm)
|
|
p(k) = mi
|
|
q(k) = lm
|
|
if A(k, k) ~= 0
|
|
rows = k+1 : n
|
|
A(rows, k) = A(rows, k)/A(k, k)
|
|
A(rows, rows) = A(rows, rows) - A(rows, k) * A(k, rows)
|
|
end
|
|
end |