JOURNAL OF LIGHT INDUSTRY

CN 41-1437/TS  ISSN 2096-1553

Volume 29 Issue 2
March 2014
Article Contents
CUI Run-qing and YAN Xue-hua. New conditions for nonsingular H-matrix[J]. Journal of Light Industry, 2014, 29(2): 105-108. doi: 10.3969/j.issn.2095-476X.2014.02.026
Citation: CUI Run-qing and YAN Xue-hua. New conditions for nonsingular H-matrix[J]. Journal of Light Industry, 2014, 29(2): 105-108. doi: 10.3969/j.issn.2095-476X.2014.02.026 shu

New conditions for nonsingular H-matrix

  • Received Date: 2014-03-03
    Available Online: 2014-03-15
  • Aiming at the problem of fewer practical decision condition whether a matrix is nonsingular H-matrix, based on the properties of matrix element itself,by constructing positive diagonal matrix and comprehensive utilization of inequality techniques and sufficient and necessary conditions of nonsingular H-matrix,some of the judgement theorem were expanded and improved.And the scope of judging nonsingular matrices was also expanded.The numerical example showed that the new criterion had wide range of application than the original results.
  • 加载中
    1. [1]

      陈公宁.矩阵理论与应用[M].北京:科学出版社,2007:225-227.

    2. [2]

      范迎松,陆全,徐仲.非奇异H-矩阵的一组判定条件[J].高校应用数学学报,2011,26(4):474.

    3. [3]

      李敏,孙玉祥.非奇异H-矩阵的新判定准则[J].工程数学学报,2012,29(5):715.

    4. [4]

      Huang T Z,Li W,Lei G Y.Contributions to nonsingular H-matrices[J].ZAMM-Zeitschrift fur Angewandte Mathematik and Mechanik,2000,80(1):493.

    5. [5]

      Sun Y X.An improvement on a theorem by Ostrowski and its applications[J].Northeastern Mathematical Journal,1991,7(4):497.

    6. [6]

      侯进军,李斌.H-矩阵的一组新判定[J].应用数学学报,2009,31(2):266.

    7. [7]

      徐仲,陆全.判定广义严格对角占优矩阵的一组充分条件[J].工程数学学报,2001,18(3):11.

    8. [8]

      庹清.非奇异H-矩阵判定的新条件[J].工程数学学报,2008,25(4):749.

    9. [9]

      黄廷祝.非奇异H-矩阵的简捷判据[J].计算数学,1993(3):318.

    10. [10]

      Varge R S.On recurring throrems on diagonal dominance[J].Linear Algebra Appl,1976(13):1.

    11. [11]

      崔润卿,闫学华.非奇异H-矩阵的一组新判据[J].郑州轻工业学院学报:自然科学版,2013,28(3):98.

    12. [12]

      李敏,孙维娜,张雪.α-双对角占优矩阵的等价表征及应用[J].北华大学学报:自然科学版,2012,12(4):396.

    13. [13]

      宋岱才,赵晓颖.α-链严格对角占优矩阵的一个充要条件[J].辽宁石油化工大学学报,2011,31(3):81.

    14. [14]

      王再玉,赵鸣霖.广义α-对角占优矩阵与非奇异H-矩阵的判别[J].长春理工大学学报:自然科学版,2011(3):171.

    15. [15]

      秦建国,谢栋梁,王静娜.一类可以对角化的矩阵[J].郑州轻工业学院学报:自然科学版,2013,28(2):106.

Article Metrics

Article views(758) PDF downloads(16) Cited by()

Ralated
    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return