Iterative algorithm for solving least Frobenius norm problem of an inconsistent matrix equation pair(English)
-
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Frobienius范数意义下的最小解. 数值例子表明提出算法的有效性.
-
关键词:
- 迭代算法 /
- Kronecker积 /
- 矩阵方程对
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 Frobienius norm solution) can be obtained within finite iteration steps in the absence of roundoff errors. The numerical examples verify the efficiency of the algorithm.
点击查看大图
计量
- 文章访问数: 3456
- HTML全文浏览量: 50
- PDF下载量: 346
- 被引次数: 0