Explicit Solutions on a Class of Quaternions Equation and Octonions Equation

ZHOU Yu-xing; HUANG Zong-wen

doi:10.3969/j.issn.1673-159X.2015.05.011

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ZHOU Yu-xing, HUANG Zong-wen. Explicit Solutions on a Class of Quaternions Equation and Octonions Equation[J]. Journal of Xihua University(Natural Science Edition), 2015, 34(5): 59-62. DOI: 10.3969/j.issn.1673-159X.2015.05.011

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ZHOU Yu-xing, HUANG Zong-wen. Explicit Solutions on a Class of Quaternions Equation and Octonions Equation[J]. Journal of Xihua University(Natural Science Edition), 2015, 34(5): 59-62. DOI: 10.3969/j.issn.1673-159X.2015.05.011

Citation:

ZHOU Yu-xing, HUANG Zong-wen. Explicit Solutions on a Class of Quaternions Equation and Octonions Equation[J]. Journal of Xihua University(Natural Science Edition), 2015, 34(5): 59-62. DOI: 10.3969/j.issn.1673-159X.2015.05.011

Explicit Solutions on a Class of Quaternions Equation and Octonions Equation

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Elementary algebra method is applied to solve equations such as x²=x₀, where x, x₀ are quaternions or octonions. The explicit solutions of equations are obtained. and the solution approach is demonstrated with some numerical examples.

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Explicit Solutions on a Class of Quaternions Equation and Octonions Equation

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