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Algebraic method for inequality constrained quaternion least squares problem. (English) Zbl 1391.15100

Summary: 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.

MSC:

15B33 Matrices over special rings (quaternions, finite fields, etc.)
15A45 Miscellaneous inequalities involving matrices
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