The Conditions for the Convergence of Power Scaled Matrices and Applications

نویسندگان

  • Xuzhou Chen
  • Robert E. Hartwig
چکیده

For an invertible diagonal matrix D , the convergence of the power scaled matrix sequence N N D A  is investigated. As a special case, necessary and sufficient conditions are given for the convergence of N N D T  , where T is triangular. These conditions involve both the spectrum as well as the diagraph of the matrix T . The results are then used to privide a new proof for the convergence of subspace iteration.

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عنوان ژورنال:
  • American J. Computational Mathematics

دوره 1  شماره 

صفحات  -

تاریخ انتشار 2011