数据驱动的分数代数系统求解器

IF 4.4 2区数学 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Mathematics and Computers in Simulation Pub Date : 2025-04-04 DOI:10.1016/j.matcom.2025.03.004

Emmanuel Lorin , Howl Nhan

引用次数: 0

摘要

在本文中，我们探索了一类（数据驱动/监督）基于神经网络的算法，用于求解线性和分数阶代数系统。后者被重新表述为动力系统，并使用神经网络求解。提出了所导出算法的一些数学性质，并进行了一些数值实验。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Data-driven fractional algebraic system solver

In this paper, we explore a class of (data-driven

/

supervised) neural network-based algorithms for solving linear and fractional algebraic systems. The latter are reformulated as dynamical systems, and solved using neural networks. Some mathematical proprieties of the derived algorithms are proposed, as well as several illustrating numerical experiments.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Mathematics and Computers in Simulation 数学-计算机：跨学科应用

CiteScore

8.90

自引率

4.30%

发文量

335

审稿时长

54 days

期刊介绍： The aim of the journal is to provide an international forum for the dissemination of up-to-date information in the fields of the mathematics and computers, in particular (but not exclusively) as they apply to the dynamics of systems, their simulation and scientific computation in general. Published material ranges from short, concise research papers to more general tutorial articles. Mathematics and Computers in Simulation, published monthly, is the official organ of IMACS, the International Association for Mathematics and Computers in Simulation (Formerly AICA). This Association, founded in 1955 and legally incorporated in 1956 is a member of FIACC (the Five International Associations Coordinating Committee), together with IFIP, IFAV, IFORS and IMEKO. Topics covered by the journal include mathematical tools in: •The foundations of systems modelling •Numerical analysis and the development of algorithms for simulation They also include considerations about computer hardware for simulation and about special software and compilers. The journal also publishes articles concerned with specific applications of modelling and simulation in science and engineering, with relevant applied mathematics, the general philosophy of systems simulation, and their impact on disciplinary and interdisciplinary research. The journal includes a Book Review section -- and a "News on IMACS" section that contains a Calendar of future Conferences/Events and other information about the Association.