线性方程组迭代解法的教学改革研究
Teaching Reform Research on Iterative Methods for Solving Linear Systems
DOI: 10.12677/ae.2026.1671491, PDF,    科研立项经费支持
作者: 熊点华, 柳雪飞*, 李熙春：广西民族师范学院数学与计算机科学学院，广西 崇左
关键词: 数值分析；线性方程组；教学改革；Matlab软件；Numerical Analysis； Linear Systems of Equations； Teaching Reform； Matlab Software
摘要: 线性方程组的迭代解法是数值分析中的重点教学内容，该部分知识点难度较高，教学难度较大，为了让本校学生在学习这部分内容时能更好地理解相关内容，本文对教学过程中出现的问题进行剖析，结合相关教学经验总结探讨了线性方程组迭代解法的迭代程序，并从教师的教和学生的学两个方面给出了建议。
Abstract: Iterative methods for solving linear systems are a key topic in numerical analysis, and this subject area is both challenging in content and difficult to teach. To help students at our institution better understand this material, this paper analyzes common problems encountered during instruction, summarizes relevant teaching experiences, discusses the iterative algorithms used in solving linear systems, and provides recommendations from both the instructor’s teaching perspective and the student’s learning perspective.
文章引用：熊点华, 柳雪飞, 李熙春. 线性方程组迭代解法的教学改革研究[J]. 教育进展, 2026, 16(7): 1229-1236. https://doi.org/10.12677/ae.2026.1671491

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