Iterative Methods for Least Squares Problem in Split Quaternionic Mechanics

Abstract

Split Quaternionic least squares (SQLS) problem is one method of solving overdetermined sets of quaternion linear equations AX = E that is appropriate when there is error in the matrix E. In this paper, by means of real representation of split quaternion matrices, we derive an iterative method for finding the minimum-norm solution of the SQLS problems in split quaternionic mechanics.