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Zeros of quaternion polynomials

✍ Scribed by R. Serôdio; Lok-Shun Siu

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 147 KB
Volume: 14
Category: Article
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(00)00142-7

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✦ Synopsis

It is well known that, over a division ring, every zero of a polynomial f(x) = (:rxl) •.. (x -xn) is congruent to Xr for some r. In this note, we show further that, over the quaternion field, there exists at least one quaternion qr congruent to each x~, and that, through this result, a constructive method for determining the zeros of quaternion polynomials can be established. (~) 2000 Elsevier Science Ltd. All rights reserved.

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