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判定严格α-对角占优矩阵的充要条件 被引量:1

SUFFICIENT AND NECESSARY CONDITIONS FOR DETERMINING STRICTLY α-DIAGONALLY DOMINANT MATRICES
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摘要 本文给出了几个判定严格α-对角占优矩阵的充要条件,进一步利用矩阵对角占优理论得到了判定非奇H-矩阵的一些充分条件,并用数值算例说明了这些结论的有效性. In this paper, several sufficient and necessary conditions for determining strictly α- diagonally dominant matrices are given. Furthermore, some sufficient conditions for non- singular H-matrix by using the theory of diagonally dominant matrices are obtained. The numerical example illustrates the effectiveness of the criteria.
出处 《数值计算与计算机应用》 CSCD 北大核心 2011年第3期203-208,共6页 Journal on Numerical Methods and Computer Applications
基金 国家自然科学基金(10802068)资助项目
关键词 非奇H-矩阵 严格α-对角占优矩阵 nonsingular H-matrix strictly α-diagonally dominant matrix
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  • 2LI Houbiao, HUANG Tingzhu, LI Hong. An improvement on a new upper bound for moduli of eigenvalues of iterative matrices[J]. Applied Mathematics and Computation,2006,173 :977-984.
  • 3HUANG T Z,GAO Z X. A new upper bound for moduli of eigenvalues of interative matrices[J]. Northeastern Math J, 2003,80: 799-803.
  • 4HU J G. The upper and lower bounds for |λ(M^-1N) [ [J]. J Comput Math,1986,7(2) :41-46.
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