跳行范德蒙矩阵的三角分解

跳行范德蒙矩阵是一种重要的矩阵,在函数插值等方面有着重要的应用.根据跳行范德蒙矩阵的特殊结构,将跳行范德蒙矩阵分解为一系列下三角矩阵与一系列上三角矩阵的乘积.进一步给出了其逆矩阵分解为一系列上三角矩阵与一系列下三角矩阵的乘积的表达式.

The LU Factorization of Jump Vandermonde Matrix

Jump vandermonde matrix is an important kind of matrix,it play an important role in many aspects,such as interpolation theory. In this paper,The Jump Vandermonde Matrix decompose into product of a series of lower triangular matrices and upper triangular matrices according to it′s special structure. At last,we get the expression of The Jump Vandermonde Matrix that decompose into product of a series of upper triangular matrices and lower triangular matrices.