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广义Nekrasov矩阵的细分迭代判别法

郭爱丽, 聂祥荣, 武玲玲   

  1. 贵州工程应用技术学院理学院, 毕节 551700
  • 收稿日期:2019-02-12 出版日期:2020-11-15 发布日期:2020-11-15
  • 基金资助:

    国家自然科学基金(11301330);贵州省教育厅青年科技人才成长项目(黔教合KY字[2018]393);贵州省科技厅联合基金(黔科合LH字[2017]7015号);毕节市科技局联合基金(毕科联合字G〔2019〕13号)资助.

郭爱丽, 聂祥荣, 武玲玲. 广义Nekrasov矩阵的细分迭代判别法[J]. 计算数学, 2020, 42(4): 508-514.

Guo Aili, Nie Xiangrong, Wu Lingling. THE SUBDIVIDING ITERATIVE CRITERION FOR GENERALIZED NEKRASOV MATRICES[J]. Mathematica Numerica Sinica, 2020, 42(4): 508-514.

THE SUBDIVIDING ITERATIVE CRITERION FOR GENERALIZED NEKRASOV MATRICES

Guo Aili, Nie Xiangrong, Wu Lingling   

  1. The Faculty of science, Guizhou University of Engineering Science, Bijie 551700, China
  • Received:2019-02-12 Online:2020-11-15 Published:2020-11-15
利用细分矩阵下标集合的思想,构造递进系数和特殊的正对角矩阵,结合不等式的放缩,给出广义Nekrasov矩阵的迭代判别法,推广和改进了已有相关结果,并用数值实例说明了所得结果的优越性.
The subdividing iterative criterion for generalized Nekrasov matrices are given by dividing region recursively, selecting coefficient progressively, constructing special diagonal matrices, and combing inequality transformation, which extend and improve some existing results. The advantage is illustrated by an example.

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