Relations between forcing sequences and inexact Newton iterates in Banach space (Q1818414)

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scientific article; zbMATH DE number 1383912
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Relations between forcing sequences and inexact Newton iterates in Banach space
scientific article; zbMATH DE number 1383912

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    Relations between forcing sequences and inexact Newton iterates in Banach space (English)
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    17 May 2000
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    The author uses inexact Newton iterates to approximate a solution of a nonlinear equation in a Banach space by assuming that the involved operator is twice continuously Fréchet-differentiable in a neighborhood of a solution. The author essentially reproduces all results found earlier. However, his upper error bounds on the distances involved are smaller.
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    inexact Newton method
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    Banach space
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    forcing sequence
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    convergence
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    error bounds
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