矩阵方程AXB=C最小二乘D反对称解  

The Least-squares D-skew-symmetric Solutions of the Matrix Equation AXB=C

作　　者：屈立新[1,2] 孟纯军[1] 

机构地区：[1]湖南大学数学与计量经济学院,湖南长沙410082 [2]长沙商贸旅游职业技术学院,湖南长沙410004

出　　处：《经济数学》2010年第1期30-33,共4页Journal of Quantitative Economics

基　　金：国家自然科学基金资助项目(10571047)

摘　　要：首先将对称矩阵推广到D反对称矩阵,然后研究了方程AXB=C的D反对称最小二乘解,利用矩阵对的广义奇异分解、标准相关分解及子空间上的投影定理,得到了最小二乘解的通式.The symmetric matrices were extended to the D skew-symmetric matrices, and the least squares D skew symmetric solutions of AXB=C were solved. Applying the generalized singular value decom- position, the canonical correlation decomposition and the projection over the subspace, the general expression for the least squares D skew symmetric solutions for AXB=C has been presented.

关 键 词：广义奇异值分解 标准相关分解 最小二乘D反对称解 

分 类 号：O241.6[理学—计算数学]