arXiv Open Access 2022

Quadratic unilateral polynomials over split quaternions

Wensheng Cao

Lihat Sumber

Abstrak

In this paper, we derive explicit formulas for computing the roots of $ax^{2}+bx+c=0$ with $a$ being not invertible in split quaternion algebra. We also imitate the approach developed by Opfer, Janovska and Falcao etc. to verify our results when the corresponding companion polynomials are not identically vanishing.

Topik & Kata Kunci

math.AG

Penulis (1)

Wensheng Cao

Format Sitasi

APA MLA BibTeX

Cao, W. (2022). Quadratic unilateral polynomials over split quaternions. https://arxiv.org/abs/2205.03605

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓