Explicit formulas for exponential of 2×2 split-complex matrices

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dc.contributor.authorÇakır, Hasan
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2022-12-27T11:15:05Z
dc.date.available2022-12-27T11:15:05Z
dc.date.issued2022
dc.description.abstractSplit-complex (hyperbolic) numbers are ordered pairs of real numbers, written in the form x + j y with j 2 = − 1 , used to describe the geometry of the Lorentzian plane. Since a null split-complex number does not have an inverse, some methods to calculate the exponential of complex matrices are not valid for split-complex matrices. In this paper, we examined the exponential of a 2 x 2 split-complex matrix in three cases : i : Δ = 0 , i i : Δ ≠ 0 and Δ is not null split-complex number, i i i : Δ ≠ 0 and Δ is a null split-complex number where Δ = ( t r A ) 2 − 4 d e t A .tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage532tr_TR
dc.identifier.issn/e-issn1303-5991
dc.identifier.issue2tr_TR
dc.identifier.startpage518tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.991894tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/86497
dc.identifier.volume71tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.991894tr_TR
dc.relation.journalCommunications, Series A1:Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıtr_TR
dc.subjectSplit-complex numbers, hyperbolic numbers, matrix exponentialtr_TR
dc.titleExplicit formulas for exponential of 2×2 split-complex matricestr_TR
dc.typeArticletr_TR

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Cilt:71 Sayı:02 (2022)