Algorithm Q-LSQR for the least squares problem in quaternionic quantum theory |
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| Authors: | Minghui Wang |
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| Affiliation: | Department of Mathematics, Qingdao University of Science and Technology, Qingdao 266061, PR China |
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| Abstract: | In this paper, an iterative algorithm for the standard quaternionic least squares problem is proposed without using the real (complex) representation. Our algorithm is implemented in the quaternion field and by means of direct quaternion arithmetic and is a natural generalization of the LSQR algorithm for the real least squares problem. |
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| Keywords: | Quaternionic least squares problem LSQR algorithm Quaternion arithmetic |
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