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Applied Mathematics and Mechanics (English Edition) ›› 2007, Vol. 28 ›› Issue (11): 1495-1501 .doi: https://doi.org/10.1007/s10483-007-1109-y

• 论文 • 上一篇    下一篇

Some new conditions for generalized H-matrices

朱砾, 刘建州   

  • 收稿日期:2007-01-15 修回日期:2007-09-20 出版日期:2007-11-18 发布日期:2007-11-18
  • 通讯作者: 朱砾

Some new conditions for generalized H-matrices

ZHU Li, LIU Jian-zhou   

  1. School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, Hunan Provice, P. R. China
  • Received:2007-01-15 Revised:2007-09-20 Online:2007-11-18 Published:2007-11-18
  • Contact: ZHU Li

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Abstract: By using a continuous transition method of a matrix and the estimate for spectral radius of a sub-matrix etc., decision methods for a generalized H-matrix under positive definite matrix conditions are researched. Some new sufficient conditions for generalized H-matrices are obtained. When a block matrix degenerates a point matrix, these conditions namely become sufficient conditions of H-matrix.

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