摘要
给出第k行和第k+1行元素幂差为t的广义范得蒙行列式的表达式以及计算公式,利用此公式和组合数学相关知识可以将高阶数字较大的行列式计算转换为低阶较小数字的行列式的计算.
This paper present the expression and calculation formula of the generalized Vandermonde determinant with the power difference of t in the k and k+1 row. By using this formula and the knowledge of combinatorial mathematics, the calculation of the determinant with large number of higher order can be converted into that of the determinant with small number of lower order.
作者
张宁
彭丽
ZHANG Ning;PENG Li(Shandong University of Science and Technology,Basic Course Department,Shandong Taian,271019)
出处
《兰州工业学院学报》
2020年第4期79-82,共4页
Journal of Lanzhou Institute of Technology
基金
国家自然科学基金(11805114)
泰安市社会科学课题(19-ZD-007
20-YB-025).
关键词
广义范得蒙行列式
Laplace定理
组合数学
generalized Vandermonde determinant
Laplace etheorem
combinatorial mathematics
