A [[Matrix]] $A$ is considered diagonally dominant if the [[Absolute Value]] of the largest term for each row is less than the sum of the [[Absolute Value]] of the rest of the elements in the row. $\huge \forall i : \max_{i,j=0}|a_{i,j}| > \sum_{k=0}^{j} a_{i,k} - \max_{i,j=0} |a_{i,j| } $