Contents V.12 N.2.2021

  • EXTENDED KUNG-TRAUB-TYPE METHOD FOR SOLVING EQUATIONS
    IOANNIS K. ARGYROS , SANTHOSH GEORGE (pp. 193-198)

    • Abstract.

    We are motivated by a Kung-Traub-type method for solving equations on the real line. In particular, we extend this method for Banach space valued operators. The radius of convergence is also obtained as well as error bounds on the distances involved and a uniqueness result. Our convergence analysis avoids Taylor expansions and the computation of higher order than one derivatives.

    Keywords:

    Kung-Traub method, local convergence, Banach space.

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