用间接递推法计算行列式

Calculating Determinants by Indirect Recursion

介绍了用间接递推关系方法和差分法求具有形如aDn+bDn-1+cDn-2=0(a≠0)二阶常系数递推关系式的行列式值的一般方法:首先求出行列式与其类型相同的低阶行列式之间的递推关系式;然后应用间接递推法和差分法计算其结果。并将差分法得到的公式应用于行列式的计算中。

This paper introduces a general method for the value of determinants of the two - rank constant modulus recursion relation as by indirect recursion and difference method： First, we find the recursive relation between the determinant and other low rank determinants of the same type; Second, we use indirect recursion and difference method to calculate determinants, and apply the gained formula from difference method to the calculation of determinants.