巢湖学院学报
巢湖學院學報
소호학원학보
CHAOHU TEACHERS COLLEGE JOURNAL
2011年
6期
18-19
,共2页
四元数体%矩阵方程%最小二乘解
四元數體%矩陣方程%最小二乘解
사원수체%구진방정%최소이승해
quaternion field%matrix equation%least square solution
利用四元数体上自共轭矩阵的奇异值分解。得到了实四元数矩阵方程X＋AXB=C的最小二乘解的表达式，同时给出了在相应解集中矩阵方程的极小，范数解．
利用四元數體上自共軛矩陣的奇異值分解。得到瞭實四元數矩陣方程X＋AXB=C的最小二乘解的錶達式，同時給齣瞭在相應解集中矩陣方程的極小，範數解．
이용사원수체상자공액구진적기이치분해。득도료실사원수구진방정X＋AXB=C적최소이승해적표체식，동시급출료재상응해집중구진방정적겁소，범수해．
By applying the singular value decomposition of self-conjugate matrices in the quatemion field, the least square solutions to is presented. In addition, the expression of minimum norm solution in the corresponding solution set to the given matrix is also derived.
