matlab生成主对角占优,matlab实现判断是否能否生成严格对角占优矩阵

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选择匿名的用户   2021-6-2 15:49   3771   0

如题:

function X = IsStrictDiagMatrix(A)

% input: A matrix

% output: The matrix after transformation

% if the matrix is not a square matrix, return error

if size(A, 1) ~= size(A, 2)

error('It is not a square matrix');

end

% get the size of A and set the size of X

% use an array to accord if all the row be set

N = size(A, 1);

X = zeros(N, N);

has_set = zeros(N);

for i = 1 : N

% find out the max element in a row

row_max = max(abs(A(i, : )));

% if the max element is not larger than sum of others, return error

if (row_max <= (sum(abs(A(i, : ))) - row_max))

error('It can not be transformed to strict diagonal dominance matrix');

end

% find out the index of max element and set the row j of matrix X

% accord row j has been set

for j = 1 : N

if (abs(A(i, j)) == row_max)

X(j, : ) = A(i, : );

has_set(j) = 1;

end

end

end

% if any hasn't been set, return error

for i = 1 : N

if (has_set == 0)

error('It can not be transformed to strict diagonal dominance matrix');

end

end

% output success

fprintf('It can be transformed to a strict diagonal dominance matrix: \n');

end

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