三对角型行列式的计算方法探讨

Discussion on Calculation of the Tridiagonal Determinant of Larger Matrix

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。

Abstract: 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.