In this paper, ma-trices with extremal signed null-spaces and extremal quasi S*- matrices are introduced and characterized through the minimal standard term rank decomposition of matrices.

• 为此，提出了有极符号零空间的矩阵与极拟S*-阵，并通过引入矩阵的列极小的标准项秩分解型的概念，给出了它们的特征刻划。