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  • 1
    Electronic Resource
    Electronic Resource
    On the monotone convergence of Newton's method (1986)
    Springer
    Computing 36 (1986), S. 81-90 
    Details
    ISSN: 1436-5057
    Keywords: 65H10 ; Key words ; Systems of nonlinear equations ; Newton's method ; monotone convergence
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Neue hinreichende Bedingungen für die monotone Konvergenz der Newton-Methode für die Lösung nichtlinearer Gleichung werden gegeben. Diese Bedingungen sind affin-invariant und allgemeiner als die Voraussetzungen des Satzes von Baluev.
    Notes: Abstract New sufficient conditions for the monotone convergence of Newton's method for solving nonlinear systems of equations are given. These conditions are affine-invariant and less restrictive than the hypothesis of Baluev's theorem.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02238194
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