广义Vandermonde矩阵的显式LU分解(英文)

Explicit LU Factorization of the Generalized Vandermonde Matrix

利用对称函数给出了广义Vandermonde矩阵的显示LU分解和带宽为1的分解,从而可将广义Vandermonde矩阵表示为n个带宽为1的下三角矩阵和n个带宽为1的上三角矩阵的乘积。

An explicit LU factorization and 1-banded factorization of the generalized Vandermonde matrix are given by using symmetric functions. So the generalized Vandermonde matrix can be expressed as a product of 1-banded matrices.