Abstract
The purpose of this paper is to show how the problem of finding roots (or zeros) of the monic quaternionic quadratic polynomials (MQQP) can be solved by its equivalent real quadratic form. The real quadratic form matrices, firstly defined in this paper, are used to form a simple equivalent real quadratic form of MQQP. Some necessary and sufficient conditions for the existence of roots of MQQP are also presented. The main idea of the practical method proposed in this work can be summarized in two steps: translating MQQP into its equivalent real quadratic form, and giving directly the quaternionic roots of MQQP by solving its equivalent real quadratic form.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.