Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Hidayet Hüda KÖSAL"'
Publikováno v:
Axioms, Vol 13, Iss 11, p 771 (2024)
In this study, we developed a MATLAB 2024a toolbox that performs advanced algebraic calculations in the algebra of elliptic numbers and elliptic quaternions. Additionally, we introduce color image processing methods, such as principal component analy
Externí odkaz:
https://doaj.org/article/30980bf20ad24ff2bd9a00de0fca72af
Publikováno v:
Axioms, Vol 13, Iss 10, p 656 (2024)
In this study, we obtained results for the computation of eigen-pairs, singular value decomposition, pseudoinverse, and the least squares problem for elliptic quaternion matrices. Moreover, we established algorithms based on these results and provide
Externí odkaz:
https://doaj.org/article/adead5ed861f4dc7803e6ffb5c692c81
Publikováno v:
Journal of Mathematical Sciences and Modelling, Vol 4, Iss 3, Pp 104-109 (2021)
In this study, we derive Gershgorin discs of elliptic complex matrices in the elliptic plane. Also, we investigate the location of the zeros of an elliptic complex valued polynomial with the help of Gershgorin discs of elliptic complex matrices. To p
Externí odkaz:
https://doaj.org/article/4295ce95955947f09545c15cb6c07b0c
Autor:
Hidayet Hüda Kösal, Müge Pekyaman
Publikováno v:
Mathematical Methods in the Applied Sciences. 45:12136-12146
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9e7889415f32525bc32fea1fd2055612
https://doi.org/10.1002/mma.7618
https://doi.org/10.1002/mma.7618
Publikováno v:
Analele Universitatii "Ovidius" Constanta - Seria Matematica. 29:165-182
The main goal of this study is to define a new metric space which is a generalization of complex valued metric spaces introduced by Azam et al. [1] using the set of elliptic numbers 𝔼 p = { ∈ = υ + i ω : υ , ω ∈ ℝ , i 2 = p < 0 } , {\mat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::16987f3aecc3e0d28864c974ce3f9223
https://doi.org/10.2478/auom-2021-0011
https://doi.org/10.2478/auom-2021-0011
Autor:
Tuçe Bilgili, Hidayet Hüda Kösal
Publikováno v:
Volume: 13, Issue: 2 98-107
International Electronic Journal of Geometry
International Electronic Journal of Geometry
In this study, Euler and De Moivre's formulas for fundamental matrices of commutative quaternions are obtained. Simple and effective methods are provided to find the powers and roots of these matrices with the aid of De Moivre's formula obtained from
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fbd819061a91304ffa65dfe035d50093
https://doi.org/10.36890/iejg.768821
https://doi.org/10.36890/iejg.768821
Autor:
Kemal Eren, Hidayet Hüda Kösal
Publikováno v:
AIMS Mathematics, Vol 5, Iss 3, Pp 2027-2039 (2020)
In this study, we investigate the evolution of space curves and the special ruled surfaces with modified orthogonal frame. Firstly, we recall the relations between the Serret-Frenet frame and the modified orthogonal frame. Then we investigate the evo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9813cafefa0c1b4543ca6c1f106aecde
https://www.aimspress.com/article/10.3934/math.2020134/fulltext.html
https://www.aimspress.com/article/10.3934/math.2020134/fulltext.html
Publikováno v:
Volume: 4, Issue: 3 104-109
Journal of Mathematical Sciences and Modelling
Journal of Mathematical Sciences and Modelling
In this study, we derive Gershgorin discs of elliptic complex matrices in the elliptic plane. Also, we investigate the location of the zeros of an elliptic complex valued polynomial with the help of Gershgorin discs of elliptic complex matrices. To p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::749a25e5d1b585e8148b31f9eb6c06bd
https://dergipark.org.tr/tr/pub/jmsm/issue/67202/986344
https://dergipark.org.tr/tr/pub/jmsm/issue/67202/986344
Autor:
Hidayet Hüda Kösal
Publikováno v:
Journal of Modern Optics. 66:1802-1810
In this study, we derive the expressions of the minimal norm least-squares solution for the reduced biquaternion (RB) matrix equation AX=B by using the e1−e2 form of RB matrices, and the Moore–Penr...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8e22eb5cf8d8595fe0490fa06c84e409
https://doi.org/10.1080/09500340.2019.1676474
https://doi.org/10.1080/09500340.2019.1676474
Autor:
Hidayet Hüda Kösal, Kemal Eren
Publikováno v:
Volume: 4, Issue: 3 180-186
Fundamental Journal of Mathematics and Applications
Fundamental Journal of Mathematics and Applications
In this study, we develop a general method to solve the general linear elliptic quaternionic matrix equations by means of real representation of elliptic quaternion matrices. A pseudocode for our approach that provides the solution of the linear elli
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8434264a23c1551b8bffa11e1c7d8986
https://dergipark.org.tr/tr/pub/fujma/issue/64796/888705
https://dergipark.org.tr/tr/pub/fujma/issue/64796/888705