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Дата изменения: Mon Dec 16 17:38:30 2002 Дата индексирования: Mon Oct 1 22:35:36 2012 Кодировка: |
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"Necessary conditions for the power convergence rate of a class of iterative
processes for nonlinear ill-posed operator equations in Banach spaces"
M.Yu. Kokurin and V.V. Kluchev |
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We study the rate of convergence of a class of iterative methods for solving nonlinear ill-posed equations with operators possessing sectorial derivatives. It is found that the condition of sourcewise representation for an initial residual with a positive exponent (which is sufficient for power convergence estimates with the same exponent) is actually close to a necessary one and cannot be substantially weakened.
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| M.Yu. Kokurin and V.V. Kluchev e-mail: kokurin@marsu.ru |