Affiliation:
1. İSTANBUL GELİŞİM ÜNİVERSİTESİ
2. Turkish Aviation Academy
Abstract
In this study, firstly, we will present some properties of hyperbolic numbers. Then, we will introduce hyperbolic matrices, which are matrices with hyperbolic number entries. Additionally, we will examine the algebraic properties of these matrices and reveal its difference from other matrix structures such as real, dual, and complex matrices. As a result of comparing the results found in this work with real, dual, and complex matrices, it will be revealed that there are similarities in additive properties and differences in some multiplicative properties. Finally, we will define some special hyperbolic matrices and give their properties and relations with real matrices.
Publisher
Turkish Journal of Mathematics and Computer Science, Association of Mathematicians
Reference13 articles.
1. Alagöz, Y., Oral, K.H., Yüce, S., Split quaternion matrices, Miskolc Mathematical Notes, 13(2)(2012), 223–232.
2. Assis, A.K.T., Perplex numbers and quaternions, International Journal of Mathematical Education in Science and Technology, 22(4)(1991), 555–562.
3. Beauregard, R.A., Suryanarayan E.R., Pythagorean triples: the hyperbolic view, The College Mathematics Journal, 27(3)(1996), 170–181.
4. Dağdeviren, A., Kürüz, F., Special real and dual matrices with Hadamard product, Journal of Engineering Technology and Applied Sciences, 6(2)(2021), 127–134.
5. Dağdeviren, A., Lorentz matris carpimi ve dual matrislerin ozellikleri, Master’s Thesis, Yildiz Technical University, 2013.
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2 articles.
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