The factorization of elements of So(n) in terms of the eulers angles

Yusuf Yaylı

doi:10.1501/Commua1_0000000498

EN

The factorization of elements of So(n) in terms of the eulers angles

Abstract

In [1 ], the orthogonal matrices have been obtained with the aid of Skew-symmetric matrices in E 2 and E3, In addition, an interpretation for these matrices has been given in this paper we tried to give the solution of this problem for En , n > 3. It has been shown in [2 ] that the Lie algebra of the Lie group of orthogonal matrices O(n) consists of the skew symmetric matrices. Here, we explain the orthogonal nxn matrices in terms of the exponential expansion of the bases of skew-symmetric matrices. Consequently we give a factorization of elements of SO(n) in terms of Euler Angles.

Keywords

References

Communications, Series A1:Mathematics and Statistics

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Yusuf Yaylı This is me
Türkiye

Publication Date

January 1, 1992

Submission Date

January 1, 1992

Acceptance Date

-

Published in Issue

Year 1992 Volume: 41

DOI

https://doi.org/10.1501/Commua1_0000000498

IZ

https://izlik.org/JA84GH85KZ

Cite

RIS / Bibtex

APA

Yaylı, Y. (1992). The factorization of elements of So(n) in terms of the eulers angles. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 41. https://doi.org/10.1501/Commua1_0000000498

AMA

1.Yaylı Y. The factorization of elements of So(n) in terms of the eulers angles. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1992;41. doi:10.1501/Commua1_0000000498

Chicago

Yaylı, Yusuf. 1992. “The Factorization of Elements of So(n) in Terms of the Eulers Angles”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 41 (January). https://doi.org/10.1501/Commua1_0000000498.

EndNote

Yaylı Y (January 1, 1992) The factorization of elements of So(n) in terms of the eulers angles. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 41

IEEE

[1]Y. Yaylı, “The factorization of elements of So(n) in terms of the eulers angles”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 41, Jan. 1992, doi: 10.1501/Commua1_0000000498.

ISNAD

Yaylı, Yusuf. “The Factorization of Elements of So(n) in Terms of the Eulers Angles”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 41 (January 1, 1992). https://doi.org/10.1501/Commua1_0000000498.

JAMA

1.Yaylı Y. The factorization of elements of So(n) in terms of the eulers angles. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1992;41. doi:10.1501/Commua1_0000000498.

MLA

Yaylı, Yusuf. “The Factorization of Elements of So(n) in Terms of the Eulers Angles”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 41, Jan. 1992, doi:10.1501/Commua1_0000000498.

Vancouver

1.Yusuf Yaylı. The factorization of elements of So(n) in terms of the eulers angles. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1992 Jan. 1;41. doi:10.1501/Commua1_0000000498

Cited By

Density estimation and regression analysis on hyperspheres in the presence of measurement error

Scandinavian Journal of Statistics

https://doi.org/10.1111/sjos.12684

Limit theorems for conditional U-statistics analysis on hyperspheres for missing at random data in the presence of measurement error

Journal of Computational and Applied Mathematics

https://doi.org/10.1016/j.cam.2025.116811

Multivariate spatial conditional quantiles on hyperspheres in the presence of measurement error

Results in Applied Mathematics

https://doi.org/10.1016/j.rinam.2026.100690