Journal of Applied and Pure Mathematics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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A NEW CRITERION FOR SUBDIVISION ITERATION DETERMINATION OF GENERALIZED STRICTLY DIAGONALLY DOMINANT MATRICES

  • HUI SHI (Jishou University Zhangjiajie College) ;
  • XI CHEN (College of Mathematics and Statistics, Jishou University) ;
  • QING TUO (College of Mathematics and Statistics, Jishou University) ;
  • LE WU (Xiangnan Middle School)
  • Received : 2023.04.08
  • Accepted : 2023.08.07
  • Published : 2023.11.30
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Abstract

Generalized strictly diagonally dominant matrices have a wide range of applications in matrix theory and practical applications, so it is of great theoretical and practical value to study their numerical determination methods. In this paper, we study the numerical determination of generalized strictly diagonally dominant matrices by using the properties of generalized strictly diagonally dominant matrices. We obtain a new criterion for subdivision iteration determination of the generalized strictly diagonally dominant matrices by subdividing the set of non-prevailing row indices and constructing new iteration factors for the set of predominant row indices, new elements of the positive diagonal factors are derived. Advantages are illustrated by numerical examples.

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Acknowledgement

We are very grateful to the judges for their valuable feedback on this fraudulent article.

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