Monotony by some Newton-like methods

Kramar, Edvard

doi:10.1007/bf01849610

Period Math Hung

1981

DOI: 10.1007/bf01849610

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Monotony by some Newton-like methods

Edvard Kramar¹

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1984

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Iterative Einschliessung von Lösungen Nichtlinearer Operatorgleichungen und Bestimmung von Startnäherungen

Voller

1984

Period Math Hung

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In the present paper some :Newton-like iteration methods are developed to enclose solutions of nonlinear operator equations of the kind F(x) ~ O. Here F maps a certain subset of a partially ordered vector space into another partially ordered vector space. The obtained results are proved without any special properties of the orderings by taking use of a new kind of a generalized divided difference operator, so that they even hold for nonconvex operators. Furthermore a method for constructing including starting points is presented and two examples are given.

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Iterative Einschliessung von Lösungen Nichtlinearer Operatorgleichungen und Bestimmung von Startnäherungen

Voller

1984

Period Math Hung

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Monotony by some Newton-like methods

Cited by 1 publication

References 4 publications

Iterative Einschliessung von Lösungen Nichtlinearer Operatorgleichungen und Bestimmung von Startnäherungen

Iterative Einschliessung von Lösungen Nichtlinearer Operatorgleichungen und Bestimmung von Startnäherungen

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