A structure-preserving method for the quaternion LU decomposition in quaternionic quantum theory |
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| Authors: | Minghui Wang Wenhao Ma |
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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, for the first time, the structure-preserving Gauss transformation is defined. Then by means of its real representation matrix, we present a novel structure-preserving algorithm for the LU decomposition of a quaternion matrix. Numerical experiments show that the structure-preserving algorithm is better than that in the newest quaternion toolbox for matlab (QTFM). |
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| Keywords: | Quaternion matrix LU decomposition Structure-preserving algorithm |
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