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块H-矩阵的判定及其逆的无穷大范数的上界 被引量:5

Criteria of block H-matrix and upper bounds of the infinity norms of its inverses
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摘要 给出了块H-矩阵A的一个判定条件,并利用其获得了A的逆矩阵的无穷大范数A-1∞上界的一个新的估计式,数值算例表明所得结论是有效的. Firstly,a new sufficient condition is given for a block H-matrix and we obtain a new estimation formula of the infinity norms of inverses by using the condition.Finally,the efficiency of the results is shown by numerical examples.
出处 《云南大学学报(自然科学版)》 CAS CSCD 北大核心 2011年第2期125-130,135,共7页 Journal of Yunnan University(Natural Sciences Edition)
基金 国家自然科学基金资助项目(10961027)
关键词 块对角占优矩阵 块H-矩阵 矩阵无穷大范数 block diagonal dominance block H-matrix infinity norms
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  • 1逄明贤.局部双对角占优矩阵及应用[J].数学学报(中文版),1995,38(4):442-450. 被引量:22
  • 2黄廷祝,杨传胜.特殊矩阵分析及应用[M].北京:科学出版社,2003.
  • 3HORM R A,JOHNSON C R.Topic in matrix analysis[M].New York:Cambridge University Press,1991.
  • 4HORM R A.JOHNSON C R.Topic in matrix analysis[M].Beijing:People’s Posts and Telecommunications Press,2005.
  • 5RICHARD A.Brualdi,Stephen Mellendorf,Regions in the complex plane containing the eigenvalues of a matrix [J].MathMonthly,1994,101:975-985.
  • 6YONG X R.Proof of a conjecture of fiedler and markham[J].Linear Algebra and its applications,2000,320:167-171.
  • 7CHEN Shen-can.Proof of a conjecture concerning the Hadamard powers of inverse matrices[J].Linear Algebra and its appli- cations,2007,422:477-481.
  • 8FANG M Z.Bounds on eigenvalues of Hadamard product and the Fan product of matrices[J].Linear Algebra and its applica- tions,2007,425:7-15.
  • 9HUANG R.Some inequalities for the Hadamard product and the Fan product of matrices[J].Linear Algebra and its applica- tions,2008,428:1 551-1 559.
  • 10LI Y T,LI Y Y,WANG R W,et al.Some new bounds on eigenvalues of the Hadamard product and the Fan product of matri-ces [J].Linear Algebra and its applications,2010,432:536-545.

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