摘要
讨论了一类循环矩阵反问题的最小二乘解,给出了解的存在定理和解的一般表达式.考虑了给定矩阵的最佳逼近问题,证明了问题存在唯一解,给出了唯一解的表达式,最后给出了两个数值算例.
The least-square solution to inverse problem of one kind of circulant matrix is presented.The existence theorems are obtained,and a general representation of such a matrix is presented.In addition,the nearst matrix problem for the given matrix is discussed.The unique nearst matrix solution and an expression for this nearest matrix is provided.Two examples are given at last.
出处
《湖南师范大学自然科学学报》
CAS
北大核心
2011年第5期17-21,共5页
Journal of Natural Science of Hunan Normal University
基金
湖南省教育厅基金资助项目(10C0501)
湖南城市学院教改基金资助项目(2011)
关键词
循环矩阵
矩阵反问题
矩阵范数
最小二乘解
circulant matrix
matrix inverse problem
matrix norm
the least-square solution
