| Title |
Exponentials of general multivector in 3D Clifford algebras |
| Authors |
Dargys, Adolfas ; Acus, Artūras |
| DOI |
10.15388/namc.2022.27.24476 |
| Full Text |
|
| Is Part of |
Nonlinear analysis: modelling and control.. Vilnius : Vilniaus universiteto leidykla. 2022, vol. 27, no. 1, p. 179-197.. ISSN 1392-5113. eISSN 2335-8963 |
| Abstract [eng] |
Closed form expressions to calculate the exponential of a general multivector (MV) in Clifford geometric algebras (GAs) Clp;q are presented for n = p + q = 3. The obtained exponential formulas were applied to find exact GA trigonometric and hyperbolic functions of MV argument. We have verified that the presented exact formulas are in accord with series expansion of MV hyperbolic and trigonometric functions. The exponentials may be applied to solve GA differential equations, in signal and image processing, automatic control and robotics. |
| Published |
Vilnius : Vilniaus universiteto leidykla |
| Type |
Journal article |
| Language |
English |
| Publication date |
2022 |
| CC license |
|
