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Halley方法在一般条件下的收敛性 被引量:3

Convergence of Halley's method in a general condition.
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摘要 为了使Halley法能适应更多环境的需要,在一个更一般的条件下,该条件可表示为 证明了Halley法的收敛性,而此条件比传统的Kantorovich型条件具有更一般的代表性.能适应更多的环境.同时给出了上述条件的几个变形形式. In order that Halley's method can be applied to more circumstances, in more common conditions, itwould have the following:du. Its convergence can be proved in such conditions that are more effective than thetransditional Kantorovich's conditions. It can be applied to more circumstances, and the deformation of upper conditions is expressed.
作者 沈硕
机构地区 浙江大学数学系
出处 《浙江大学学报(理学版)》 CAS CSCD 2003年第1期19-22,共4页 Journal of Zhejiang University(Science Edition)
关键词 Halley方法 优序列技巧 收敛性条件 BANACH空间 Kantorovich型条件 非线性算子方程 Halley's method majorant method convergence of conditions.
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参考文献7

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二级参考文献10

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