diagonally dominant matrix


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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.
References in periodicals archive ?
1, the upper left matrix is the original block diagonally dominant matrix, where we clearly can distinguish the diagonal blocks.
For the second example we use a banded diagonally dominant matrix with sixteen nonzero diagonals.
ALAN GEORGE AND KHAKIM IKRAMOV, Gaussian Elimination for the Inverse of a Diagonally Dominant Matrix is Stable, Math.
Let A be a normalized symmetric positive definite diagonally dominant matrix, and let [alpha]E, [alpha] [member of] [C.
n x 2], and given any nonempty subset S of N, then A is an S-strictly diagonally dominant matrix if