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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.
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.