Algebraic methods for equality constrained least squares problems in commutative quaternionic theory |
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| Authors: | Dong Zhang Gang Wang V. I. Vasil'ev Tongsong Jiang |
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| Affiliation: | Institute of Mathematics and Information Science, North-Eastern Federal University, Yakutsk, Russia |
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| Abstract: | This paper, by means of two matrix representations of a commutative quaternion matrix, studies the relationship between the solutions of commutative quaternion equality constrained least squares (LSE) problems and that of complex and real LSE problems and derives two algebraic methods for finding the solutions of equality constrained least squares problems in commutative quaternionic theory. |
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| Keywords: | commutative quaternion complex representation equality constrained least squares matrix norm real representation |
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