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Communications in Algebra Volume 42, 2014 - Issue 8
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Original Articles

Algorithms for Finding the Roots of Some Quadratic Octonion Equations

Qing-Wen Wang Department of Mathematics, Shanghai University, Shanghai, ChinaCorrespondence[email protected]
,
Xiang Zhang Department of Mathematics, Guizhou Normal University, Guiyang, China
&
Yang Zhang Department of Mathematics, University of Manitoba, Winnipeg, Canada
Pages 3267-3282 | Received 01 Feb 2012, Published online: 04 Apr 2014
 
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Abstract

In this paper, we give an algorithm to find the roots of the octonionic quadratic equation x 2 + bx + c = 0, and develop a Matlab package to find solutions. We also discuss how to find the roots of some other octonion quadratic equations, such as an algorithm is given for finding the roots of the octonion quadratic equation xax + bx + c = 0.

2010 AMS Subject Classification:

ACKNOWLEDGMENT

This research was supported by the grants from the National Natural Science Foundation of China (11171205), the Natural Science Foundation of Shanghai (11ZR1412500), Shanghai Leading Academic Discipline Project (J50101), the Fund of Science and Technology Department of Guizhou Province ([2013]2223), the Doctor Fund of Guizhou Normal University, and Canadian NSERC.

Notes

Communicated by J.-T. Yu.

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