New Horizons in Mathematical Physics

NHMP
>
Volume 3, Number 2, June 2019

Iterative Methods for Least Squares Problem in Split Quaternionic Mechanics
DOI:

10.22606/nhmp.2019.32003
**Author(s)**
Minghui Wang

**Affiliation(s)**
Department of Mathematics, Qingdao University of Science and Technology, Qingdao, 266061, P.R. China

**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.

**Keywords**
Split quaternion matrix, Split quaternionic mechanics, Least squares problem, LSQR,
Iterative algorithm.

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