Some New Properties of The Real Quaternion Matrices and Matlab Applications

Kemal Gökhan Nalbant; Salim Yüce

doi:10.17776/csj.425691

TR EN

Some New Properties of The Real Quaternion Matrices and Matlab Applications

Abstract

In this study, firstly, it was shown that the set of real quaternion matrices is a -dimensional module over the real matrix ring and -dimensional module over the complex matrix ring . Moreover, some new properties of the real quaternion matrices were described. Then, matrix representations of the real quaternion matrices were found easily by Matlab. These matrices were also applied to find the inverse of the real quaternion matrices and inverse matrices were obtained easily with these matrices. In addition, some new properties for matrix representations of the real quaternion matrices were found. Also, the inverse of the real quaternion block matrices was obtained by new methods. Finally, a new method to calculate the determinant of the real quaternion matrices was found and the determinant of these matrices was calculated easily with Matlab application.

Keywords

Quaternions,real quaternions,real quaternion matrices,real matrix representation,determinant,block matrices,block matrices

References

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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Kemal Gökhan Nalbant ^*
0000-0002-5065-2504
Türkiye

Salim Yüce
0000-0002-8296-6495
Türkiye

Publication Date

March 22, 2019

Submission Date

May 21, 2018

Acceptance Date

January 2, 2019

Published in Issue

Year 2019 Volume: 40 Number: 1

DOI

https://doi.org/10.17776/csj.425691

IZ

https://izlik.org/JA46FE84CA

APA

Nalbant, K. G., & Yüce, S. (2019). Some New Properties of The Real Quaternion Matrices and Matlab Applications. Cumhuriyet Science Journal, 40(1), 42-60. https://doi.org/10.17776/csj.425691

AMA

1.Nalbant KG, Yüce S. Some New Properties of The Real Quaternion Matrices and Matlab Applications. CSJ. 2019;40(1):42-60. doi:10.17776/csj.425691

Chicago

Nalbant, Kemal Gökhan, and Salim Yüce. 2019. “Some New Properties of The Real Quaternion Matrices and Matlab Applications”. Cumhuriyet Science Journal 40 (1): 42-60. https://doi.org/10.17776/csj.425691.

EndNote

Nalbant KG, Yüce S (March 1, 2019) Some New Properties of The Real Quaternion Matrices and Matlab Applications. Cumhuriyet Science Journal 40 1 42–60.

IEEE

[1]K. G. Nalbant and S. Yüce, “Some New Properties of The Real Quaternion Matrices and Matlab Applications”, CSJ, vol. 40, no. 1, pp. 42–60, Mar. 2019, doi: 10.17776/csj.425691.

ISNAD

Nalbant, Kemal Gökhan - Yüce, Salim. “Some New Properties of The Real Quaternion Matrices and Matlab Applications”. Cumhuriyet Science Journal 40/1 (March 1, 2019): 42-60. https://doi.org/10.17776/csj.425691.

JAMA

1.Nalbant KG, Yüce S. Some New Properties of The Real Quaternion Matrices and Matlab Applications. CSJ. 2019;40:42–60.

MLA

Nalbant, Kemal Gökhan, and Salim Yüce. “Some New Properties of The Real Quaternion Matrices and Matlab Applications”. Cumhuriyet Science Journal, vol. 40, no. 1, Mar. 2019, pp. 42-60, doi:10.17776/csj.425691.

Vancouver

1.Kemal Gökhan Nalbant, Salim Yüce. Some New Properties of The Real Quaternion Matrices and Matlab Applications. CSJ. 2019 Mar. 1;40(1):42-60. doi:10.17776/csj.425691

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Some New Properties of The Real Quaternion Matrices and Matlab Applications

Reel Kuaterniyon Matrislerinin Bazı Yeni Özellikleri ve Matlab Uygulamaları

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Keywords

Some New Properties of The Real Quaternion Matrices and Matlab Applications

Abstract

Keywords

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Details

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Published in Issue

DOI

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