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四元数矩阵方程AXAH=B的最小二乘解 总被引:8,自引:2,他引:6
引入了四元数矩阵范数的概念,通过使用四无数矩阵的奇异值分解,给出了四元数矩阵方程AXA^H=B在最小二乘意义下的Hermitian解以及Skew-Hermitian解. 相似文献
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TLS和LS问题的比较 总被引:4,自引:0,他引:4
There are a number of articles discussing the total least squares(TLS) and the least squares(LS) problems.M.Wei(M.Wei, Mathematica Numerica Sinica 20(3)(1998),267-278) proposed a new orthogonal projection method to improve existing perturbation bounds of the TLS and LS problems.In this paper,wecontinue to improve existing bounds of differences between the squared residuals,the weighted squared residuals and the minimum norm correction matrices of the TLS and LS problems. 相似文献
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