摘要
本文在Ｃａｓｓｉｎｉ卵形域上推广了Ｔａｕｓｓｋｙ定理，所得结果修正了Ｂｒａｕｅｒ定理．作为应用给出不可约双对角占优矩阵非奇异的充要条件．最后把基本结果推广到分块矩阵上。
In this paper, we obtain Taussky's theorem to Cassini egg region. The result revise Brauser's theorem. As application, we gave sufficient and necessary conditions that the irreducible double-diagonally dominant matrices are nonsingular matrices, and generalize these results to partitioned matrices.
出处
《应用数学学报》
CSCD
北大核心
2000年第1期76-81,共6页
Acta Mathematicae Applicatae Sinica
关键词
Tausskey定理
不可约矩阵
双对角占优矩阵
Taussky's theorem, Cassini egg region, irreducible matrices, double-diagonally dominant matrices, nonsingular matrices, partitioned matrices
