Several New Determination Methods of Nonsingular HMatrix 

Author  YuYue 
Tutor  YangJin 
School  Taiyuan University of Technology 
Course  Applied Mathematics 
Keywords  diagonally dominant matrices Holder inequality nonsingularHmatrix nonzero elements chain 
CLC  O151.21 
Type  Master's thesis 
Year  2012 
Downloads  43 
Quotes  0 
Nonsingular Hmatrix has an important application in matrix algebra and computational mathematics. It plays an important role in economy mathematics,electric system, control theory and many other fields. In recent years, many overseas scholars and domestic have been researched on how to judge a matrix is Nonsingular Hmatrix. This article would do further research of.methods of Hmatrix judgment.In the previous research, many scholars were divided the matrix of indicators set N into two or three nonempty disjoint subsets.On the basis of this division, it combined with the nonsingular Hmatrix definition, constructed different positive diagonal matrix factors,and a series of conditions were given to determine nonsingular Hmatrix.On this basis, the matrix of indicators set N is divided into k subsets, to make up for past simple division of two or three nonempty disjoint subsets of limitations, used of a comprehensive selection of inequalities scaling techniques. Finally, it get several new sufficient conditions for nonsingular Hmatrix, and further improve the conditions.