100 citations · 116 across the 14 of their papers we have counts for
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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…
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…
The Multi-Symplectic Lanczos Algorithm and Its Applications to Color Image Processing
Zhigang Jia, Xuan Liu, Mei-Xiang Zhao
Low-rank approximations of original samples are playing more and more an important role in many recently proposed mathematical models from data science. A natural and initial requi…
Perturbation Analysis of An Eigenvector-Dependent Nonlinear Eigenvalue Problem With Applications?
Yunfeng Cai, Zhigang Jia, Zheng-Jian Bai
The eigenvector-dependent nonlinear eigenvalue problem (NEPv) , where the columns of are orthonormal, , is Hermitia…
A New Real Structure-preserving Quaternion QR Algorithm
Zhigang Jia, Musheng Wei, Meixiang Zhao +1
New real structure-preserving decompositions are introduced to develop fast and robust algorithms for the (right) eigenproblem of general quaternion matrices. Under the orthogonall…