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Quadratic Formulas for Generalized Quaternions

Year 2012, Issue: 028, 27 - 34, 15.08.2012
https://izlik.org/JA83HL95YE

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
https://izlik.org/JA83HL95YE

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 Research Article
Authors

Erhan Ata

Yasemin Kemer This is me

Ali Atasoy

Publication Date August 15, 2012
IZ https://izlik.org/JA83HL95YE
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. https://izlik.org/JA83HL95YE

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