Formulas of the Exponential Matrix for Some Real Semi Skew-Symmetric Matrices of Order 4

Article Sidebar

PDF
Published: Jun 30, 2023
Keywords:
Exponential matrix Semi skew–symmetric matrix Sylvester's formula

Main Article Content

Poonchayar Patthanangkoor
Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, Pathum Thani 12120
Konkanok Promjabok
Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, Pathum Thani 12120
Kotchaporn Promjabok
Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, Pathum Thani 12120
Warunya Wong-u-ra
Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, Pathum Thani 12120

Abstract

In this paper the formula of the exponential matrix eA  for some real semi skew-symmetric matrix  A of order 4 is derived.

Article Details

Issue
Vol.31 No.3 (May-June 2023)
Section
Physical Sciences

References

Celledoni, E. and Iserles, A., 1998, Approximating the exponential from a Lie algebra to a Lie group, Tech.

Report DAMTP 1998/ NA03. Numerical Analysis: Cambridge University. Cambridge. England.

Kula, L., 2003, Split Quaternions and Geometrical Applications, Ph.D Thesis: Graduate School and The

Natural Science. Ankara University.

Kula, L., Karacan, M. K. and Yayli, Y., 2005, Formulas for the exponential of a semi skew-symmetric matrix

of order 4, Mathematical and Computational Applications. 10(1): 99-104.

Moler, C. and Van Loan, C., 1978, Nineteen dubious ways to compute the exponential of a matrix, SIAM

Review. 20(4): 801-836.

Politi, T., 2001, A formula for the exponential of a real skew-symmetric matrix of order 4, BIT Numerical

Mathematics. 41(4): 842-845.

Sylvester, J. J., 1883, On the equation to the secular inequalities in the planetary theory, Philosophical

Magazine. 16:267–269.