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Quadratic Formulas for Generalized Quaternions

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

Abstract

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

quadratic polynomial.

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

GENELLEŞTİRİLMİŞ KUATERNİYONLAR İÇİN KUADRATİK FORMÜLLER

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

Abstract

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

yöntemleri bulmayı amaçlamaktayız

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
There are 6 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Erhan Ata

Yasemin Kemer This is me

Ali Atasoy This is me

Publication Date August 15, 2012
Published in Issue Year 2012 Issue: 028

Cite

APA Ata, E., Kemer, Y., & Atasoy, A. (2012). Quadratic Formulas for Generalized Quaternions. Journal of Science and Technology of Dumlupınar University(028), 27-34.

HAZİRAN 2020'den itibaren Journal of Scientific Reports-A adı altında ingilizce olarak yayın hayatına devam edecektir.