【摘要】 有符号零空间的矩阵在有符号解的线性方程组的研究中起着重要的作用,同时它也是L-矩阵类,拟S*-矩阵类的共同推广.有符号零空间的矩阵的特征刻画的研究,说明了讨论一些特殊的有符号零空间的矩阵类是有益的.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画.更多还原

【Abstract】 Matrices with signed null-spaces play an important role in the study of the linear systems with signed solutions. It is also a common generalization of L- matrices and quasi S*- matrices. Some characterizations about matrices with signed null-spaces have been given by S. J. Kim,B. L. Shader and J. Y. Shao. Their results also illustrate that it is worthful to study some special classes of matrices with signed null-spaces. In this paper,matrices with extremal signed null-spaces and extremal quasi S* - matrices are introduced and characterized through the minimal standard term rank decomposition of matrices.更多还原