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Convergence behavior for Newton-Steffensen’s method under \(\gamma\)-condition of second derivative. (English) Zbl 07095233
Summary: The present paper is concerned with the semilocal as well as the local convergence problems of Newton-Steffensen’s method to solve nonlinear operator equations in Banach spaces. Under the assumption that the second derivative of the operator satisfies \(\gamma\)-condition, the convergence criterion and convergence ball for Newton-Steffensen’s method are established.
65 Numerical analysis
47 Operator theory
Full Text: DOI
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