Quadratic Formulas for Generalized Quaternions

Year 2012, Issue: 028, 27 - 34, 15.08.2012

Erhan Ata Yasemin Kemer Ali Atasoy

Abstract

In this paper, we aim to find basic methods for calculation of th eroots of a generalized quaternionic

quadratic polynomial.

Keywords

Generalizedquaternion, quadratic form

GENELLEŞTİRİLMİŞ KUATERNİYONLAR İÇİN KUADRATİK FORMÜLLER

Abstract

Bu makalede, bir genelleştirilmiş kuaterniyonik kuadratik polinomun köklerini bulmak için temel

yöntemleri bulmayı amaçlamaktayız

Keywords

Generalizedquaternion, quadratic form

References

• [1] Olmez, O., "Generalized Quaternionsand Applications", Master Thesis,Ankara University, 2006
• [2] Zhang, S. Z., Mu, D. L., "Quadratic equations over noncommutative division rings", J. Math. Res.Exposition 14, 260-264, (1994)
• [3] R. Micheal Porter, " Quaternionic linear and quadratic equations", Journal of Natural Geometry 11, 101-106, (1997)
• [4] Niven, I., "Equations in quaternions", American Math. Monthly 48, 654-661,(1941)
• [5] Huang, L.,So, W., "Quadratic formulas for quaternions", Applied Math.Letters, 15(2002) 533-540
• [6] Kula, L., "Split Quaternions and Geometric Applications", Ph. D. Thesis, Ankara University, 2003