三对角型行列式的计算方法探讨  

Discussion on Calculation of the Tridiagonal Determinant of Larger Matrix

作　　者：张小华 孟红云 曹向海 

机构地区：[1]西安电子科技大学,人工智能学院,陕西 西安 [2]西安电子科技大学,数学与统计学院,陕西 西安

出　　处：《教育进展》2022年第12期5664-5668,共5页Advances in Education

摘　　要：三对角型行列式是一类典型的行列式,其计算方法灵活多样。本文在对三对角型行列式的通用特征值计算方法优缺点分析的基础之上,针对具体的三对角型行列式给出几种不同的计算方法,以加深学生对各种行列计算方法的理解,其思想方法对于一般的高阶行列式的求解具有一定的参考意义。Tridiagonal determinant is a kind of typical determinant, and its calculation methods are very flexible and diverse. Based on the analysis of the advantages and disadvantages of the general eigenvalue method of the tridiagonal determinant, this paper discusses several different calculation methods for the specific tridiagonal determinant, and deepens the understanding of determinant computation methods. The idea of the listed methods has certain reference significance for the calculation of the general determinant of larger matrix.

关 键 词：三对角型行列式 特征值法 递推公式法 

分 类 号：O151.22[理学—数学]