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  • 标题:The Conditions for the Convergence of Power Scaled Matrices and Applications
  • 本地全文:下载
  • 作者:Xuzhou Chen ; Robert E. Hartwig
  • 期刊名称:American Journal of Computational Mathematics
  • 印刷版ISSN:2161-1203
  • 电子版ISSN:2161-1211
  • 出版年度:2011
  • 卷号:1
  • 期号:2
  • 页码:63-71
  • DOI:10.4236/ajcm.2011.12007
  • 出版社:Scientific Research Publishing
  • 摘要:For an invertible diagonal matrix D , the convergence of the power scaled matrix sequence D-NAN is investigated. As a special case, necessary and sufficient conditions are given for the convergence of D-NTN , where T is triangular. These conditions involve both the spectrum as well as the diagraph of the matrix .The results are then used to privide a new proof for the convergence of subspace iteration.
  • 关键词:Convergence; Iterative Method; Triangular matrix; Gram-Schmidt
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