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Semilocal convergence for a fifth-order Newton's method using recurrence relations in Banach spaces
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نویسنده
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chen l. ,gu c. ,ma y.
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منبع
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journal of applied mathematics - 2011 - دوره : 2011 - شماره : 0
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چکیده
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We study a modified newton's method with fifth-order convergence for nonlinear equations in banach spaces. we make an attempt to establish the semilocal convergence of this method by using recurrence relations. the recurrence relations for the method are derived,and then an existence-uniqueness theorem is given to establish the r-order of the method to be five and a priori error bounds. finally,a numerical application is presented to demonstrate our approach. copyright © 2011 liang chen et al.
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آدرس
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department of mathematics,shanghai university,shanghai 200444,china,school of mathematical science,huaibei normal university,anhui, China, department of mathematics,shanghai university, China, school of computer science and technology,huaibei normal university,anhui, China
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Authors
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