On the rate of convergence of the preconditioned conjugate gradient method (Q1058261)

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scientific article; zbMATH DE number 3900040
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On the rate of convergence of the preconditioned conjugate gradient method
scientific article; zbMATH DE number 3900040

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    On the rate of convergence of the preconditioned conjugate gradient method (English)
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    1986
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    We derive new estimates for the rate of convergence of the conjugate gradient method by utilizing isolated eigenvalues of parts of the spectrum. We present a new generalized version of an incomplete factorization method and compare the derived estimates of the number of iterations with the number actually found for some elliptic difference equations and for a similar problem with a model empirical distribution function.
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    incomplete factorization method
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    conjugate gradient method
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    rate of convergence
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