Diagonally Dominant Matrix/Examples/Arbitrary Example 1

Example of Diagonally Dominant Matrix

Consider the square matrix $\mathbf A$:

$\mathbf A = \begin {pmatrix} 2 & 1 & 0 \\ 1 & -3 & 1 \\ -2 & 1 & 4 \end {pmatrix}$

$\mathbf A$ is diagonally dominant by rows, but not diagonally dominant by columns.

Sources

• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): diagonally dominant matrix