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H-矩阵的Oppenheim型不等式

Oppenheim-Like Inequalities for H-Matrices
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摘要 应用M-矩阵的比较矩阵的有关性质,研究了H-矩阵,得到了H-矩阵与其比较矩阵具有相类似的性质的结论.利用H-矩阵和其比较矩阵的性质以及M-矩阵的Hadamard秉积的Oppenheim不等式,把M-矩阵的Hadamard乘积的Oppenheim不等式的结果推广到了H-矩阵的Fan积的Oppenheim不等式,得到了关于H-矩阵的Fan积的Oppenheim不等式. In this paper,we first apply properties of comparison matrices of M-matrix to study H-matrices, then similar properties are obtained.Applying the properties of H-matrices and its comparison matrices,we extend the Oppenheim-like inequality for general M-matrices on Hadamard product to the Oppenheim-like inequality for H-matrices on Fan product,Then we obtain the Oppenheim-like inequality for H-matrices on Fan product.
出处 《电子科技大学学报》 EI CAS CSCD 北大核心 2007年第S1期424-426,共3页 Journal of University of Electronic Science and Technology of China
关键词 比较矩阵 行列式 H-矩阵 M-矩阵 OPPENHEIM不等式 comparison matrices determinant H-matrix M-matrix Oppenheim-like inequality
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参考文献9

  • 1Yao-tang Li (Department of Mathemotics, Yuunan University, Kunming 650091, China) Ji-cheng Li (Department of Mathematics, Xian Jiaotong University, Xian 71049, China).ON THE ESTIMATIONS OF BOUNDS FOR DETERMINANT OF HADAMARD PRODUCT OF H-MATICES[J].Journal of Computational Mathematics,2001,19(4):365-370. 被引量:6
  • 2杨忠鹏,刘继春.M矩阵Fan乘积的Oppenheim不等式[J].应用科学学报,1999,17(3):334-336. 被引量:6
  • 3黄廷祝.M矩阵的Oppenheim型不等式[J].应用科学学报,1996,14(3):369-371. 被引量:7
  • 4BEMAN A,PLEMMONS R.Nonnegative matrices in the mathematical sciences. . 1994
  • 5HORN R A,JOHNSON C R.Matrix analysis. . 1985
  • 6Lee Y S.Inequalities for M and N0 matrices. Linear and Multilinear Algebra . 1991
  • 7Liu Jian-zhou,Li Zhu.Some improvement of Oppenheim s inequality for M-matrices. SIAM Journal on Computing . 1997
  • 8ON THE ESTIMATIONS OF BOUNDS FOR DETERMINANT OF HADAMARD PRODUCT OF H-MATICES. Journal of Computational Mathematics . 2001
  • 9Fan K.Inequalities for M-matrices. Indagationes Mathematicae . 1964

二级参考文献8

  • 1黄廷祝.M矩阵的Oppenheim型不等式[J].应用科学学报,1996,14(3):369-371. 被引量:7
  • 2Lee Y S,Lin Multilin Alg,1991年,29卷,149页
  • 3Fan K,Indag Math,1964年,26卷,602页
  • 4Berman A,Plemmons R J.Nonnegative matrices in the mathematical sciences[]..1979
  • 5Lynn M S.On the Schur product of the H-matrices and nonnegative matrices and related inequalities[].Proceedings of the Cambridge Philosophical Society.1964
  • 6M. Fiedler,V. Ptak.Diagonally Dominant Matrices[].Czechosl Math J.1967
  • 7J.Z.Liu,L.Zhu.Some improvement of Oppenheim‘s inequality for M-matrices[].SIAM Journal on Matrix Analysis and Applications.1997
  • 8K. Fan.Inequalities for M-matrices[].Indagationes Mathematicae New Series.1964

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