从常整数的欧几里得除法到时变变量的张除法

Yunong Zhang, Min Yang, Maotai Zou, Sheng Wu, Binbin Qiu
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引用次数: 1

摘要

静态欧几里得除法已经研究了几十年。在本文中,我们关注时变分割(或称为张分割)。由于Zhang动力学(ZD)和梯度动力学(GD)在求解各种时变问题方面表现出强大的能力,我们分别通过定义Zhang函数和能量函数,提出了用于时变划分的ZD模型和GD模型。通过算例,有效地验证了所提出的ZD和GD模型对时变分区在线求解的有效性。此外,本文还解决了零除(DBZ)问题,易于理解。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
From Euclid division of constant integers to Zhang division of time-varying variables
Static Euclid division has been studied for many decades. In this paper, we focus on time-varying division (or termed, Zhang division). As Zhang dynamics (ZD) and gradient dynamics (GD) have shown powerful abilities to solve a great variety of time-varying problems, we present a ZD model and a GD model for time-varying division by defining a Zhang function and an energy function, respectively. Through illustrative examples, the efficacy of the presented ZD and GD models for online solution of time-varying division is substantiated effectively. In addition, division-by-zero (DBZ) problem is solved readily in this paper, which is well understood.
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