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Algorithm Q-LSQR for the least squares problem in quaternionic quantum theory

Authors :
Wang, Minghui
Source :
Computer Physics Communications. Jun2010, Vol. 181 Issue 6, p1047-1050. 4p.
Publication Year :
2010

Abstract

Abstract: In this paper, an iterative algorithm for the standard quaternionic least squares problem is proposed without using the real (complex) representation. Our algorithm is implemented in the quaternion field and by means of direct quaternion arithmetic and is a natural generalization of the LSQR algorithm for the real least squares problem. [Copyright &y& Elsevier]

Subjects

Subjects :
*QUATERNION functions
*LEAST squares
*QUANTUM theory
*ITERATIVE methods (Mathematics)
*ALGORITHMS
*MATHEMATICAL analysis

Details

Language :
English
ISSN :
00104655
Volume :
181
Issue :
6
Database :
Academic Search Index
Journal :
Computer Physics Communications
Publication Type :
Periodical
Accession number :
50243686
Full Text :
https://doi.org/10.1016/j.cpc.2010.02.011
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