Global aspects of the continuous and discrete Newton method: A case study

Global aspects of the continuous and discrete Newton method: A case study
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连续和离散牛顿法的全局方面:案例研究

DOI:
10.1007/978-94-009-2281-5_4
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发表时间:
1988
期刊:
Acta Applicandae Mathematica
影响因子:
--
通讯作者:
Klaus Schmitt
Klaus Schmitt
中科院分区:
--
文献类型:
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作者:
H. Peitgen;Michael Prüfer;Klaus Schmitt

文献摘要

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牛顿方法是近年来Julia集理论和复杂动力系统复兴的典范之一。本文在Julia集理论的指导下,将牛顿法作为一个由多个联立方程组成的真实的动力系统,对某些特殊的模型问题进行了实验研究。
Newton's method has recently become one of the paradigms in the revival of Julia set theory and complex dynamical systems. This paper, to a large extent experimental in nature, investigates Newton's method for some particular model problems as a real dynamical system of several simultaneous equations guided by the Julia set theory.