复线性方程组ABS方法

ABS algorithm for solving systems of complex linear equations

首次给出求解复线性方程组的 ABS算法 .它是通过研究复矩阵空间 Cm× n( m≥ 1 ,n≥ 1是任意整数 )与 R2 m× 2 n中一个子空间的同构关系得到的 .证明了复 ABS算法与求解一特殊块结构的实方程组的分块 ABS算法是一一对应的 .给出了复 ABS算法的若干重要性质 .

An ABS algorithm for solving the systems of complex linear equations, called the complex ABS algorithm, denoted by C ABC, is proposed, based on a subspace of R 2m×2n isomorphic to R m×n (m≥1 and n≥1 arbitrary integers) and on an one to one correspondence between the systems of complex linear equations and the systems of real linear equations with two dimensional block structure.