vandermonde matrix meaning in English
范德蒙矩阵
Examples
- In chap 3 , we give the definitions of left inverse and right inverse ; present the fast algorithms of left inverse and right inverse for toeplitz matrix , hankel matrix , loewner matrix and vandermonde matrix with mxn order
第三章先给出左逆及右逆的定义，然后分别给出了求m n阶toeplitz矩阵、 hankel矩阵、 loewner矩阵、 vandermonde矩阵的左逆及右逆的快速算法。 - The paper is built as follows . in chap 1 , we introduce the applied context of the minimal norm least square solutions for vandermonde matrix first . the fast algorithm of the minimal norm least square solutions for vandermonde matrix with mxn order and its transpose are presented later through constructing vtv ( or wt ) and seeking their inverses
本文的结构如下：第一章先给出了vandermonde方程组的极小范数最小二乘解的一些实际应用背景，然后通过构造方阵v ~ tv (或vv ~ t )并求其逆矩阵导出了求以m n阶vandermonde矩阵及其转置，以及m n阶跳行vandermonde矩阵为系数阵的线性方程组极小范数最小二乘解的快速算法。 - Solving linear equations arise in a surprising number in the computing problems of engineering , but sometimes they are unsolvable . in this paper fast algorithms are presented which compute the minimal norm least square solutions for linear equations with special rectangular matrices coefficients , such as vandermonde matrices , toeplitz matrices , loewner matrices etc . and then , this paper presents an algorithm of computing the left inverse or right inverse for these special rectangle matrices
工程中的计算问题大部分都可转化成求解线性方程组的问题，而这些线性方程组有的时候是不相容的，本文研究以一些特殊的长方矩阵为系数阵的不相容方程组? ? vandermonde方程组， toeplitz方程组， loewner方程组等的极小范数最小二乘解的快速算法，以及求这些特殊矩阵的左逆及右逆的快速算法。