方ray可解方程组与rayS^＊-阵的图论特征

Graph Theoretical Characterizations of Square Ray Solvable Linear Systems and Ray S*-Matrices

给出了系数矩阵为方阵的复线性方程组为ray可解、非负ray可解及全非零ray可解等的图论特征刻画,得到了这些方程组的解的ray模式的图论表述.应用这些结论还给出了ray S*-阵和ray S-阵的图论特征刻画,及其他若干类特殊的复线性方程组的ray可解性条件.

We gave the graph theoretical characterizations of the ray solvable,nonnegative ray solvable and totally nonzero ray solvable complex linear systems with square coefficient matrix,and obtained the graph theoretical descriptions of the ray patterns of the solutions of these types of linear systems.As applications of these results,we also gave the graph theoretical characterizations of the ray S*-matrices and ray S-matrices,and the ray solvable conditions on some other special classes of complex linear systems.