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高校应用数学学报
高校应用数学学报  2017, Vol. 32 Issue (3): 361-370    
    
广义$H$-矩阵的一组新判定条件
崔静静, 彭国华, 陆全, 徐仲
西北工业大学 应用数学系, 陕西西安 710072
A set of new determinate conditions for generalized $H$-matrices
CUI Jing-jing, PENG Guo-hua, LU Quan, XU Zhong
Dept. Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an 710072, China
 全文: PDF 
摘要： 利用矩阵指标集的$k$-级划分和子矩阵的谱半径, 给出了正定条件下广义$H$-矩阵的一组判定条件, 当块矩阵退化为点矩阵时, 这些条件即为非奇异$H$-矩阵的充分条件. 这些结果改进了近期的相关结果, 并用数值算例说明本文判定条件的有效性.
关键词： 广义$H$-矩阵;  Hermite正定矩阵;  谱半径    
Abstract: By using $k$-partition of matrices index set and the spectral radius for its sub-matrices, some new determinant conditions for generalized $H$-matrices under positive definite matrix conditions were presented. When a block matrix reduces a point matrix, these conditions then become the sufficient conditions for nonsingular $H$-matrices, and improve some recent related results. Numerical examples are given to show the effectiveness of the corresponding results.
Key words: generalized $H$-matrices    Hermite positive definite matrix    spectral radius
收稿日期: 2015-01-25 出版日期: 2018-04-07
:  O151.21  
基金资助: 国家自然科学基金(10802068)
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崔静静
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引用本文:

崔静静, 彭国华, 陆全, 徐仲. 广义$H$-矩阵的一组新判定条件[J]. 高校应用数学学报, 2017, 32(3): 361-370.

CUI Jing-jing, PENG Guo-hua, LU Quan, XU Zhong. A set of new determinate conditions for generalized $H$-matrices. Applied Mathematics A Journal of Chinese Universities, 2017, 32(3): 361-370.

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http://www.zjujournals.com/amjcua/CN/    或    http://www.zjujournals.com/amjcua/CN/Y2017/V32/I3/361

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