有极符号零空间的矩阵与极拟s^＊-阵  

Matrices with Extremal Signed Null-spaces and Extremal Quasi S*- matrices

作　　者：任灵枝[1] 吴群[1] 邵嘉裕[1] 

机构地区：[1]同济大学应用数学系,上海200092

出　　处：《同济大学学报（自然科学版）》2004年第2期266-271,共6页Journal of Tongji University:Natural Science

基　　金：国家自然科学基金资助项目(19831050);教育部高等学校博士点学科专项科研基金资助项目

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.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.

关 键 词：符号 矩阵 零空间 

分 类 号：O157[理学—数学]