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LING Si-tao, JIANG Tong-song, WEI Mu-sheng. Algebraic method for least squares problems in quaternionic quantum theory[J]. Journal of East China Normal University (Natural Sciences), 2009, (4): 39-46.
Citation:
LING Si-tao, JIANG Tong-song, WEI Mu-sheng. Algebraic method for least squares problems in quaternionic quantum theory[J]. Journal of East China Normal University (Natural Sciences), 2009, (4): 39-46.
LING Si-tao, JIANG Tong-song, WEI Mu-sheng. Algebraic method for least squares problems in quaternionic quantum theory[J]. Journal of East China Normal University (Natural Sciences), 2009, (4): 39-46.
Citation:
LING Si-tao, JIANG Tong-song, WEI Mu-sheng. Algebraic method for least squares problems in quaternionic quantum theory[J]. Journal of East China Normal University (Natural Sciences), 2009, (4): 39-46.
Department of Mathematics, East China Normal University, Shanghai} 200241, China};} \DWEI{2. Department of Mathematics, Linyi Normal University, Linyi Shandong} 276005, China};} \DWEI{3. Department of Mathematics, Shanghai Normal University, Shanghai} 200234
This paper introduced concepts of norms of quaternion matrices by means of complex representation of a quaternion matrix, studied the quaternionic least squares (QLS) problem and derived an algebraic method of finding solutions of the QLS problem in quaternionic quantum theory. A numerical example verified the efficiency of the algorithm.
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