Cubic formulas for computing the zeros of certain quaternionic polynomial |
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| Authors: | Ming‐Sheng Liu Yan Tang |
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| Institution: | School of Mathematical Sciences, South China Normal University, Guangzhou, Guangdong, China |
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| Abstract: | In this paper, we derive the explicit formulas for computing the zeros of certain cubic quaternionic polynomial. From these, we obtain a necessary and sufficient condition to quaternionic cubic polynomial have a spherical zero, and some examples are also provided. Moreover, we will discuss some applications of the cubic quaternionic formulas. Copyright © 2017 John Wiley & Sons, Ltd. |
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| Keywords: | quaternion cubic formula niven
s algorithm solving polynomial equation |
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