An Updated Version of the Kantorovich Theorem for Newton's Method.

Abstract

An affine invariant version of the Kantorovich theorem for Newton's method is presented. The result includes the Gragg-Tapia error bounds, as well as recent optimal and sharper upper bounds, new optimal and sharper lower bounds, and new inequalities showing q-quadratic convergence all in terms of the usual majorizing sequence. Closed form expressions for these bounds are given. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1980
Accession Number
ADA093608

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  • George Miel

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  • University of Wisconsin–Madison

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  • Materials and Manufacturing Processes

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