【摘要】 提出了关于不相容矩阵方程对(AXB,CXD)=(E,F)最小Frobenius范数问题的一个迭代算法.对于任意的初始矩阵X0,在没有舍入误差的情况下,运用此算法能在有限步内得到方程对在Frobenius范数意义下的最小解.数值例子表明所提出算法的有效性.更多还原

【Abstract】 This paper presented an iterative algorithm for solving the least Frobenius norm problem of inconsistent matrix equation pair(AXB,CXD)=(E,F) with a real matrix X.By this algorithm,for any(special) initial matrix X0,a solution(the minimal Frobenius norm solution) can be obtained within finite iteration steps in the absence of roundoff errors.The numerical examples verify the efficiency of the algorithm.更多还原