Quadratic Formulas for Generalized Quaternions

Yıl 2012, Sayı: 028, 27 - 34, 15.08.2012

Erhan Ata , Yasemin Kemer Ali Atasoy

Öz

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

quadratic polynomial.

Anahtar Kelimeler

Generalizedquaternion , quadratic form

GENELLEŞTİRİLMİŞ KUATERNİYONLAR İÇİN KUADRATİK FORMÜLLER

Öz

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

yöntemleri bulmayı amaçlamaktayız

Anahtar Kelimeler

Generalizedquaternion , quadratic form

Kaynakça

• [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