A Population-Based Optimization Method Using Newton Fractal
نویسندگان
چکیده
منابع مشابه
Fractal Characteristics of Newton ' s Method onPolynomialsM
In this report, we present a simple geometric generation principle for the fractal that is obtained when applying Newton's method to nd the roots of a general complex polynomial with real coee-cients. For the case of symmetric polynomials z ? 1, the generation mechanism is derived from rst principles. We discuss the case of a general cubic and are able to give a description of the arising fract...
متن کاملCommunication-Efficient Distributed Optimization using an Approximate Newton-type Method
We present a novel Newton-type method for distributed optimization, which is particularly well suited for stochastic optimization and learning problems. For quadratic objectives, the method enjoys a linear rate of convergence which provably improves with the data size, requiring an essentially constant number of iterations under reasonable assumptions. We provide theoretical and empirical evide...
متن کاملPain and Agony using a Newton Based Method
The subject of this thesis is contact force determination, specifically for use in interactive rigid body simulation. The aim of the thesis is twofold, to overthrow the projected Gauss-Seidel method and replace it with a more accurate and robust method, and to propose a more accurate friction model than the one used in most interactive simulators. Part of the thesis is presented in the form of ...
متن کاملFractal Newton Basins
The dynamics of complex cubic polynomials have been studied extensively in the recent years. The main interest in this work is to focus on the Julia sets in the dynamical plane, and then is consecrated to the study of several topics in more detail. Newton’s method is considered since it is the main tool for finding solutions to equations, which leads to some fantastic images when it is applied ...
متن کاملFractal Population Ecology Theory
Abstract Purpose - The aim of this paper is to describe the population ecology theory through fractal thinking, an emergent human operating system that is creative, adaptive, healthy, and evolutionary; furthermore, a parallel is drawn between the population ecology model and the fractal structure. Top-down hierarchies are typically characterized by command and control systems of the authority t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Complexity
سال: 2019
ISSN: 1076-2787,1099-0526
DOI: 10.1155/2019/5379301