Dissertation > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Theory of algebraic equations,linear algebra > Linear Algebra > Matrix theory

Several New Determination Methods of Non-singular H-Matrix

Author YuYue
Tutor YangJin
School Taiyuan University of Technology
Course Applied Mathematics
Keywords diagonally dominant matrices Holder inequality non-singularH-matrix nonzero elements chain
CLC O151.21
Type Master's thesis
Year 2012
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Non-singular H-matrix 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 Non-singular H-matrix. This article would do further research of.methods of H-matrix judgment.In the previous research, many scholars were divided the matrix of indicators set N into two or three non-empty disjoint subsets.On the basis of this division, it combined with the non-singular H-matrix definition, constructed different positive diagonal matrix factors,and a series of conditions were given to determine non-singular H-matrix.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 non-empty disjoint subsets of limitations, used of a comprehensive selection of inequalities scaling techniques. Finally, it get several new sufficient conditions for non-singular H-matrix, and further improve the conditions.

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