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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 경남대학교 기초과학연구소 Nonlinear Functional Analysis and Applications Nonlinear Functional Analysis and Applications Vol.23 No.3
- 발행연도
- 2018.9
- 수록면
- 551 - 558 (8page)
- DOI
- 10.22771/nfaa.2018.23.03.09
이용수
초록· 키워드
오류제보하기
This paper proposes a form and use of exponential of a matrix over dual quaternions. Due to the property of the product for dual quaternions, we give the way of computing the exponential of a matrix with the exponential map from their Lie algebras into the dual quaternionic matrices and a form of an eigenvalue of the dual quaternionic exponential of a matrix.
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참고문헌 (14)
참고문헌 신청
R. Ablamowicz / 1998 / Matrix exponential via clifford algebras / J. Nonlinear Math. Phys 5:294~313
J.M. Anthonisse / 1977 / Exponential convergence of products of stochastic ma-trices / J. Math. Anal. Appl 59(2):360~364
A. Baker / 1999 / Right eigenvalues for quaternionic matrices: A topological approach / Lin. Alg. Appl 286:303~309
W.K. Clifford / 1873 / Preliminary sketch of bi-quaternions / Proc. London Math. Soc 4:381~395
M. Erdogdu / 2017 / On exponential of split quaternionic matrices / Appl. Math. Comput 315:468~476
J.M. Anthonisse / 1977 / Exponential convergence of products of stochastic ma-trices / J. Math. Anal. Appl 59(2):360~364
A. Baker / 1999 / Right eigenvalues for quaternionic matrices: A topological approach / Lin. Alg. Appl 286:303~309
W.K. Clifford / 1873 / Preliminary sketch of bi-quaternions / Proc. London Math. Soc 4:381~395
M. Erdogdu / 2017 / On exponential of split quaternionic matrices / Appl. Math. Comput 315:468~476
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