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Bounds on the convergence of Ritz values from Krylov subspaces to interior eigenvalues of Hermitean matrices

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 نشر من قبل Anthony D. Kennedy
 تاريخ النشر 2011
  مجال البحث
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We consider bounds on the convergence of Ritz values from a sequence of Krylov subspaces to interior eigenvalues of Hermitean matrices. These bounds are useful in regions of low spectral density, for example near voids in the spectrum, as is required in many applications. Our bounds are obtained by considering the usual Kaniel-Paige-Saad formalism applied to the shifted and squared matrix.



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