| 一族变型Halley迭代方法的收敛性 |
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| 引用本文： | 葛华丰.一族变型Halley迭代方法的收敛性[J].浙江师范大学学报(自然科学版),2007,30(2):152-157. |
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| 作者姓名： | 葛华丰 |
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| 作者单位： | 台州学院,数学系,浙江,临海,317000 |
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| 摘 要： | 研究了Banach空间中求解非线性算子方程的一族带参数的变型Halley迭代方法的收敛性问题;在二阶导数满足H lder条件下建立了它的半局部的收敛性定理及误差估计.
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| 关 键 词： | Banach空间 非线性算子方程 变型Halley迭代 H(o)lder条件 |
| 文章编号： | 1001-5051（2007）02-0152-06 |
| 收稿时间： | 2006-10-14 |
| 修稿时间： | 2007-03-10 |
Convergence of a family of the deformed Halley iterations |
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| GE Huafeng.Convergence of a family of the deformed Halley iterations[J].Journal of Zhejiang Normal University Natural Sciences,2007,30(2):152-157. |
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| Authors: | GE Huafeng |
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| Institution: | Department of Mathematics, Taizhou University, Linhai Zhejiang 317000, China |
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| Abstract: | The convergence problem of a family of the deformed Halley iterations with parameters for solving nonlinear operator equations in Banach spaces was studied. Under the assumption that the two derivative of an operator satisfied the HOlder condition, the semi-local convergence of the deformed Halley iterations were established. Finally, the corresponding error estimate was given. |
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| Keywords: | Banach space nonlinear operator equation deformed Halley iterations Holder condition |
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