Convergence Behavior for Newton-Steffensen’s Method under -Condition of Second Derivative
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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 -condition, the convergence criterion and convergence ball for Newton-Steffensen’s method are established.
1964 ◽
Vol 4
(6)
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pp. 159-165
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2016 ◽
Vol 26
(4)
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pp. 579-590
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1992 ◽
Vol 5
(4)
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pp. 7-9
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1986 ◽
Vol 9
(3)
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pp. 583-587
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