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华罗庚的矩阵情结与矩阵“打洞”技术的应用
Hua Loo-Keng’s Matrix Complex and Applications of “Hole Drilling” Technology
【摘要】 在回顾华罗庚的数学研究与其一生的矩阵情结的关系的基础上,重点探讨了极具中国传统文化特色的矩阵打洞技术对矩阵理论研究与教学的深刻影响.注意到矩阵打洞技术在近年来考研试题的广泛应用,指出“打洞”的反向——“补洞”技术是解决一些难题的强有力工具.将打洞与补洞有机结合,对全面理解运用华罗庚学派的矩阵理论及应用是很有意义的.
【Abstract】 On the basis of reviewing the relationship between Hua Loo-Keng’s mathematical research and strong complex of matrix, this paper focuses on the profound influence of matrix hole drilling technology with Chinese traditional culture characteristics on the research and teaching of matrix theory.With the wide use of matrix hole-drilling technology in the postgraduate entrance examination questions in recent years, the reverse “Hole Filling” technology of “Hole Drilling” is pointed out to solve some difficult problems.Combining the “Hole Drilling”and “Hole Filling” technology organically will be significant to understand and apply the matrix theory of Hua system.
【Key words】 Hua Loo-Keng; matrix; matrix hole drilling; matrix hole filling; elementary transformation of block matrix;
- 【文献出处】 北华大学学报(自然科学版) ,Journal of Beihua University(Natural Science) , 编辑部邮箱 ,2023年02期
- 【分类号】K826.11;O151.21
- 【下载频次】70