%0 Journal Article %T 范德蒙行列式的矩阵形式推广及其应用
The Popularization and Application of Matrix Form of Vandermonde’s Determinant %A 周颂奇 %A 白颖 %J Pure Mathematics %P 648-654 %@ 2160-7605 %D 2020 %I Hans Publishing %R 10.12677/PM.2020.107078 %X

本文旨在利用分块矩阵及矩阵直积的性质,将范德蒙行列式中的元素换成矩阵形式进行推广,使其推广后的行列式仍具有类似范德蒙行列式的通解公式,且能解决更复杂的行列式求值问题。
The purpose of this article is to use the properties of block matrices and matrix direct products to generalize the elements of the Vandermonde determinant into a matrix form, so that the general-ized determinant still has a general solution formula similar to the Vandermonde determinant, and can solve more complicated problem of determinant evaluation.

%K 范德蒙行列式,分块矩阵,矩阵直积
Vandermonde Determinant %K Block Matrix %K Kronecker Product %U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=36547