反馈校正机制视角下数值计算方法教学实践与探索——以方程求根为例  

Feedback View of Numerical Methods of Linear Algebraic Equations in Course of Numerical Calculation Methods

作　　者：曹科才 顾菊平 CAO Kecai;GU Juping(School of Electronic Information Engineering,Suzhou University of Science and Technology,Suzhou Jiangsu 215009,China;College of Automation,Nanjing Institute of Technology,Nanjing 211167,China)

机构地区：[1]苏州科技大学电子与信息工程学院,江苏苏州215009 [2]南京工程学院自动化学院,南京211167

出　　处：《大学数学》2024年第5期28-34,共7页College Mathematics

基　　金：江苏省高校哲学社会科学研究重大项目(2020SJZDA098);2022年度教育部“春晖计划”合作科研项目(HZKY20220149)。

摘　　要：数值计算方法与自动控制原理看似泾渭分明的两门自动化专业课,在科学思想上存在千丝万缕的联系,甚至具有异曲同工之妙.本文以数值计算方法中的方程求根与自动控制原理中反馈控制设计为切入点,分析数值计算方法方程求根算法中的反馈控制理念,挖掘求根算法背后的科学思想,为学生深入理解和掌握两门课程的基本思想,形成合理的知识结构提供启迪,同时为进一步提升现有算法的计算效率、计算智能乃至原始创新提供理论抓手与思想基础.Although it seems that there is no connection between course of Numerical Calculation Methods and course of Automatic Control Principle,these two courses are tightly interrelated to each other where different approaches are employed but lead to equally satisfactory results.Numerical methods of linear algebraic equations and feedback control have been selected as the breakthrough point in this paper where view of feedback has been employed to interpret those complex algorithms proposed for solving linear algebraic equations.Obtained results will help students not only understand and master the scientific thought behind these algorithms but also formulate their knowledge tree which will contribute to some innovative work such as improving efficiency of computation,enhancing smartness of computation and even raising original innovation.

关 键 词：反馈校正 线性方程求根公式 数值计算方法 自动控制原理 

分 类 号：O241.6[理学—计算数学]