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A contribution to condition numbers of the multidimensional total least squares problem with linear equality constraint
Qiaohua Liu, Zhigang Jia, Yimin Wei
This paper is devoted to condition numbers of the multidimensional total least squares problem with linear equality constraint (TLSE). Based on the perturbation theory of invariant…
Condition numbers of the mixed least squares-total least squares problem: revisited
Qiaohua Liu, Qian Zhang, Dongmei Shen
A new closed formula for the first order perturbation estimate of the mixed least squares-total least squares (MTLS) solution is presented. It is mathematically equivalent to the o…
Randomized Quaternion Singular Value Decomposition for Low-Rank Approximation
Qiaohua Liu, Sitao Ling, Zhigang Jia
This paper presents a randomized quaternion singular value decomposition (QSVD) algorithm for low-rank matrix approximation problems, which are widely used in color face recognitio…
On condition numbers of the total least squares problem with linear equality constraint
Qiaohua Liu, Zhigang Jia
This paper is devoted to condition numbers of the total least squares problem with linear equality constraint (TLSE). With novel limit techniques, closed formulae for normwise, mix…