麻烦那位英语高手给我翻译一下下面的内容,急用,谢谢。
摘要:牛顿迭代法也称为牛顿切线法,是一种在实数域和复数域上近似求解方程根的方法,是求非线性方程根的一种常见的高效计算方法,该方法将非线性方程局部线性化,在单根附近具有较高...
摘要:牛顿迭代法也称为牛顿切线法,是一种在实数域和复数域上近似求解方程根的方法,是求非线性方程根的一种常见的高效计算方法,该方法将非线性方程局部线性化,在单根附近具有较高的收敛速度,而且该法还可以用来求方程的重根、复根。另外该方法广泛用于计算机编程中。
本文介绍了牛顿迭代法的相关概念,牛顿迭代法的相关定理,以及在求解非线性方程根时的理论依据,收敛性分析,初始值的选取规则等。另外本文还涉及到修正的牛顿迭代格式,以及该法在求重根时的应用。
关键词:牛顿迭代法 收敛阶数 初始值 牛顿下山法 重根 展开
本文介绍了牛顿迭代法的相关概念,牛顿迭代法的相关定理,以及在求解非线性方程根时的理论依据,收敛性分析,初始值的选取规则等。另外本文还涉及到修正的牛顿迭代格式,以及该法在求重根时的应用。
关键词:牛顿迭代法 收敛阶数 初始值 牛顿下山法 重根 展开
2个回答
展开全部
Abstract: The Newton iteration method is also called the Newton tangent method, is one kind on the real number field and the complex field the approximate solution equation root method, is asks the misalignment equation root one common highly effective computational method, this method the nonlinear equation partial linearization, has nearby the simple root the high convergence rate, moreover this law may also use for to ask the equation the multiple root, the duplicate root. Moreover this method widely uses in the computer programming.
This article introduced Newton iteration method's related concept, Newton iteration method's correlation theorem, as well as when solves the misalignment equation root the theory basis, the astringent analysis, the starting value selection rule and so on. Moreover this article also involves to the revision Newton iterative scheme, as well as this law when asks the multiple root the application. key word: Newton iteration method restraining exponent number starting value Newton descends the mountain the law multiple root
This article introduced Newton iteration method's related concept, Newton iteration method's correlation theorem, as well as when solves the misalignment equation root the theory basis, the astringent analysis, the starting value selection rule and so on. Moreover this article also involves to the revision Newton iterative scheme, as well as this law when asks the multiple root the application. key word: Newton iteration method restraining exponent number starting value Newton descends the mountain the law multiple root
推荐律师服务:
若未解决您的问题,请您详细描述您的问题,通过百度律临进行免费专业咨询