Extension of the method of quasilinearization and rapid convergence

    Authors

    R. N. Mohapatra; K. Vajravelu;Y. Yin

    Comments

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    Abbreviated Journal Title

    J. Optim. Theory Appl.

    Keywords

    existence; nonlinear initial-value problems; upper and lower solutions; convergence; quasilinearization; LINEARIZATION; Operations Research & Management Science; Mathematics, Applied

    Abstract

    An extension of the method of quasilinearization has been applied to first-order nonlinear initial-value problems (IVP for short). It has been shown that there exist monotone sequences which converge rapidly to the unique solution of IVP.

    Journal Title

    Journal of Optimization Theory and Applications

    Volume

    96

    Issue/Number

    3

    Publication Date

    1-1-1998

    Document Type

    Article

    Language

    English

    First Page

    667

    Last Page

    682

    WOS Identifier

    WOS:000072957600009

    ISSN

    0022-3239

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