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Algebraic Method for Inequality Constrained Quaternion Least Squares Problem |
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| Authors: | Sitao Ling Xiangjian Xu Tongsong Jiang |
| Institution: | 1. Department of Mathematics, China University of Mining and Technology, Xuzhou, 221116, P.R. China 2. School of Science, Nantong University, Nantong, 226007, China 3. Department of Mathematics, Linyi University, Linyi, 276005, P.R. China 4. Department of Computer Science and Technology, Shandong University, Jinan, 250100, P.R. China |
| Abstract: | In this paper, we introduce a kind of complex representation of quaternion matrices (or quaternion vectors) and quaternion matrix norms, study quaternionic least squares problem with quadratic inequality constraints (LSQI) by means of generalized singular value decomposition of quaternion matrices (GSVD), and derive a practical algorithm for finding solutions of the quaternionic LSQI problem in quaternionic quantum theory. |
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