Algebraic algorithms for least squares problem in quaternionic quantum theory
Quaternionic least squares (QLS) problem is one method of solving overdetermined sets of quaternion linear equations AX approximate to B that is appropriate when there is error in the matrix B. In this paper, by means of complex representation of a quaternion matrix, we introduce a concept of norm of quaternion matrices, discuss singular values and generalized inverses of a quaternion matrix, study the QLS problem and derive two algebraic methods for finding solutions of the QLS problem in quaternionic quantum theory. (c) 2007 Elsevier B.V. All rights reserved.
algorithm least squares quaternionic quantum theory quaternion matrix