【摘要】 通过构造线性方程组和一元高次方程,利用线性方程组的解与一元高次方程根与系数的关系推导出第一类准Vandermonde行列式的值.通过构造辅助函数计算一个特殊的第一类准Vandermonde行列式,并把这种方法推广于两类特殊第二类准Vandermonde行列式的计算.更多还原

【Abstract】 The value of the first generalized Vandermonde determinant is obtained using the solutions of linear equations group and relations of roots and coefficients of higher order equation for one variable.Computation of the particular first generalized Vandermonde determinant is investigated via auxiliary function.In addition,the method can be extended to computations of two particular second generalized Vandermonde determinants.更多还原