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Cubic formulas for computing the zeros of certain quaternionic polynomial
Author(s) -
Liu MingSheng,
Tang Yan
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4304
Subject(s) - mathematics , polynomial , cubic function , zero (linguistics) , pure mathematics , polynomial function theorems for zeros , cubic form , algebra over a field , mathematical analysis , matrix polynomial , alternating polynomial , philosophy , linguistics
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.