diagonally dominant matrix

(redirected from Levy-Desplanques theorem)

diagonally dominant matrix

[dī′ag·ən·əl·ē ′däm·ə·nənt ′mā‚triks]
(mathematics)
A matrix in which the absolute value of each diagonal element is either greater than the sum of the absolute values of the off-diagonal elements of the same row or greater than the sum of the off-diagonal elements in the same column.