方程组 combined equations; coupled equations; equation group; equation set up; equations set; gleichungssystem system of equations; set of equations; simultaneous equations; system of equations
结构方程组 set of structural equations; structural system of equations
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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。