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GENERALIZED NEKRASOV MATRICES AND APPLICATIONS 被引量：20

GENERALIZED NEKRASOV MATRICES AND APPLICATIONS
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摘要 In this paper, the concept of generalized Nekrasov matrices is introduced, some properties of these matrices are discussed, obtained equivalent representation of generalized diagonally dominant matrices. In this paper, the concept of generalized Nekrasov matrices is introduced, some properties of these matrices are discussed, obtained equivalent representation of generalized diagonally dominant matrices.
作者 Mingxian Pang Zhuxiang Li (Dept. of Math, of Normal college, Beihua University, Ji Lin 132013, China)
出处 《Journal of Computational Mathematics》 SCIE CSCD 2003年第2期183-188,共6页 计算数学（英文）
关键词 Nekrasov matrix Generalized Nekrasov matrix Generalized diagonally domi- nant matrix. Nekrasov matrix, Generalized Nekrasov matrix, Generalized diagonally domi- nant matrix.
分类号 O151.21 [理学—基础数学]
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参考文献5

  • 1T.Szulc., Some remarks on a theorem of Gudkov, Linear Algebra Appl. 225(1995), 221-235.
  • 2Wen Li. On Nekrasov matrices, Linear Algebra Appl., 281(1998), 87-96.
  • 3Neuman M., A note on generalization of strict diagonal dominance for real matrices, Linear Algebra Appl, 26(1979), 3-14.
  • 4Pang Mingxian, Deteminants and applications of the generalized diagonally dominant matrices.,Anal of Math. 6A(3) (1985), 323-330.
  • 5Berman A. and Plemmons R.J., Nonnegative matrices in the mathematics science, Academic. New York, 1979.

同被引文献49

  • 1黄廷祝.非奇H矩阵的简捷判据[J].计算数学,1993,15(3):318-328. 被引量：198
  • 2沈光星.非奇异H阵的新判据[J].工程数学学报,1998,15(4):21-27. 被引量：44
  • 3王强 ,宋永忠 ,李维国 .一类迭代矩阵的谱半径的上界估计[J].南京大学学报（数学半年刊）,2005,22(1):96-106. 被引量：23
  • 4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
  • 5Gan Tai-Bin, Huang Ting-Zhu. Simple criteria for nonsingular H-matrices[J]. Linear Alg. Appl., 2003 ( 374 ): 317-326.
  • 6Li W. On Nekrasov Matrices[J]. Lin. Alg, Appl., 1998 (281): 87-96.
  • 7SUN Y X. An improvement on a theorem by Ostrowski and its applications [J]. Northeastern Math, 1997,7(4) : 497-502.
  • 8LI W. On nekrasov matrices [J]. Lin Alg Appl, 1992,81 (8): 87-96.
  • 9BERMAN A,PLEMMONS R J. Nonnegative Matrices in the Mathematical Science [M]. New York: Academic Press, 1979.
  • 10逄明贤.广义对角占优阵的判定及其应用.数学年刊：A辑,1985,6(3):323-330.

引证文献20

二级引证文献48

Journal of Computational Mathematics
2003年 第2期

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