Existence of a Unique Zero of Nonlinear Systems

Paul Bao, François Anton, Jon Rokne

    Research output: Contribution to journalJournal articleResearch

    35 Downloads (Pure)

    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 languageEnglish
    JournalJournal of Numerical Mathematics
    Volume15
    Issue number1
    Pages (from-to)1-6
    ISSN1569-3953
    DOIs
    Publication statusPublished - 2007

    Bibliographical note

    Accepted for publication. Details to come

    Keywords

    • Newton's method
    • existence of zeros
    • non-linear equations

    Cite this

    Bao, Paul ; Anton, François ; Rokne, Jon. / Existence of a Unique Zero of Nonlinear Systems. In: Journal of Numerical Mathematics. 2007 ; Vol. 15, No. 1. pp. 1-6.
    @article{b53d66e78bd648849d660e6e56227b56,
    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.",
    keywords = "Newton's method, existence of zeros, non-linear equations",
    author = "Paul Bao and Fran{\cc}ois Anton and Jon Rokne",
    note = "Accepted for publication. Details to come",
    year = "2007",
    doi = "10.1515/JNUM.2007.001",
    language = "English",
    volume = "15",
    pages = "1--6",
    journal = "Journal of Numerical Mathematics",
    issn = "1570-2820",
    publisher = "Walterde Gruyter GmbH",
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    }

    Existence of a Unique Zero of Nonlinear Systems. / Bao, Paul; Anton, François; Rokne, Jon.

    In: Journal of Numerical Mathematics, Vol. 15, No. 1, 2007, p. 1-6.

    Research output: Contribution to journalJournal articleResearch

    TY - JOUR

    T1 - Existence of a Unique Zero of Nonlinear Systems

    AU - Bao, Paul

    AU - Anton, François

    AU - Rokne, Jon

    N1 - Accepted for publication. Details to come

    PY - 2007

    Y1 - 2007

    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

    KW - existence of zeros

    KW - non-linear equations

    U2 - 10.1515/JNUM.2007.001

    DO - 10.1515/JNUM.2007.001

    M3 - Journal article

    VL - 15

    SP - 1

    EP - 6

    JO - Journal of Numerical Mathematics

    JF - Journal of Numerical Mathematics

    SN - 1570-2820

    IS - 1

    ER -