摘要
Let A=(a<sub>ij</sub><sub>n×n</sub>∈C<sup>n×n</sup>, N={1, 2,…,n}, ∧<sub>i</sub>=sum from j=1 j≠i to n|a<sub>ij</sub>|, i∈N. if （?）<sub>i</sub>, j∈N, i≠j, there are |Rea<sub>ii</sub>Rea<sub>jj</sub>|≥∧<sub>i</sub>∧<sub>j</sub>, then A is a real part generalized weak diagonal dominance matrix, written as A∈DD<sub>0</sub>（R）.
