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New Horizons in Mathematical Physics
NHMP > Volume 3, Number 2, June 2019

Iterative Methods for Least Squares Problem in Split Quaternionic Mechanics

Download PDF  (543.8 KB)PP. 74-82,  Pub. Date:May 15, 2019
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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