Algebraic methods for least squares problem in split quaternionic mechanics

Zhaozhong Zhang, Ziwu Jiang and Tongsong Jiang

Applied Mathematics and Computation, 2015, vol. 269, issue C, 618-625

Abstract: A split quaternionic least squares problem is one method of solving overdetermined sets of split quaternion linear equations AX ≈ B that is appropriate when there is error in the matrix B. In this paper, by means of complex representation and real representation of a split quaternion matrix, we study the split quaternionic least squares problem, derive two algebraic methods for finding solutions of the problems in split quaternionic mechanics.

Keywords: Least squares problem; Split quaternionic matrices; Complex representation; Real representation; Split quaternionic mechanics (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:269:y:2015:i:c:p:618-625

DOI: 10.1016/j.amc.2015.07.072

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