Taussky定理推广与应用  

A GENERALIZATIONS OF TAUSSKY'S THEOREM AND ITS APPLICATIONS

作　　者：杜宇辉[1] 

机构地区：[1]北华大学师范学院数理系,吉林市132013

出　　处：《应用数学学报》2000年第1期76-81,共6页Acta Mathematicae Applicatae Sinica

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.

关 键 词：Tausskey定理 不可约矩阵 双对角占优矩阵 

分 类 号：O151.21[理学—数学]