Existence of a Unique Zero of Nonlinear Systems

Paul Bao; François Anton; Jon Rokne

doi:10.1515/JNUM.2007.001

Existence of a Unique Zero of Nonlinear Systems

Paul Bao, François Anton, Jon Rokne

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Abstract

Existence statements for zeros of nonlinear equations are established via the interval Newton method generalizing previous theorems requiring regularity of the inclusion for the Jacobian.

Original language	English
Journal	Journal of Numerical Mathematics
Volume	15
Issue number	1
Pages (from-to)	1-6
ISSN	1569-3953
DOIs	https://doi.org/10.1515/JNUM.2007.001
Publication status	Published - 2007

Bibliographical note

Accepted for publication. Details to come

Keywords

Newton's method
existence of zeros
non-linear equations

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title = "Existence of a Unique Zero of Nonlinear Systems",

abstract = "Existence statements for zeros of nonlinear equations are established via the interval Newton method generalizing previous theorems requiring regularity of the inclusion for the Jacobian.",

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author = "Paul Bao and Fran{\c c}ois Anton and Jon Rokne",

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doi = "10.1515/JNUM.2007.001",

language = "English",

volume = "15",

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AU - Bao, Paul

AU - Anton, François

AU - Rokne, Jon

N1 - Accepted for publication. Details to come

PY - 2007

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N2 - Existence statements for zeros of nonlinear equations are established via the interval Newton method generalizing previous theorems requiring regularity of the inclusion for the Jacobian.

AB - Existence statements for zeros of nonlinear equations are established via the interval Newton method generalizing previous theorems requiring regularity of the inclusion for the Jacobian.

KW - Newton's method

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KW - non-linear equations

U2 - 10.1515/JNUM.2007.001

DO - 10.1515/JNUM.2007.001

M3 - Journal article

SN - 1569-3953

VL - 15

SP - 1

EP - 6

JO - Journal of Numerical Mathematics

JF - Journal of Numerical Mathematics

IS - 1

ER -

Existence of a Unique Zero of Nonlinear Systems

Abstract

Bibliographical note

Keywords

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