EN
Complex Interval Matrix and Its Some Properties
Abstract
In this paper, we present the notion of complex interval matrix. Further, we discuss the algebraic structure of the set of all $(m\times n)$ complex interval matrices by using tools of quasilinear functional analysis. Finally, we put a norm on the space of the complex interval matrices and we calculate the norm of a complex interval matrices.
Keywords
References
- Alefeld, G., Herzberger, J., Einführung in die Intervallrechnung, Mannheim: Bibliographhisches Institut., 1974.
- Alefeld, G., Herzberger, J., Introduction to Interval Computations, New York: Academic Press., 1983.
- Aseev, S.M., Quasilinear operators and their application in the theory of multivalued mappings, Proceedings of the Steklov Institute of Mathematics, 2(1969), 23–52.
- Aubin, J.P., Frankowska, H., Set-Valued Analysis, Boston: Birkhauser, 1990.
- Bozkurt, H., Yılmaz, Y., Some new results on inner product quasilinear spaces, Cogents Mathematics, (2016).
- Ganesan, K., On properties of interval matrices, International Journal of Computational and Mathematical Sciences 1(2)(2007).
- Hansen, E.R., Global Optimization Using Interval Analysis, New York: Marcel Dekkar Inc., 1992.
- Kulisch, U., Grundzüge der Intervallrechnung, in: Jahrburch Überblicke Mathematik, Mannheim: Bibliographhisches Institut., 1969.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
June 30, 2023
Submission Date
September 5, 2022
Acceptance Date
January 22, 2023
Published in Issue
Year 2023 Volume: 15 Number: 1
APA
Levent, H., & Yılmaz, Y. (2023). Complex Interval Matrix and Its Some Properties. Turkish Journal of Mathematics and Computer Science, 15(1), 20-26. https://doi.org/10.47000/tjmcs.1171285
AMA
1.Levent H, Yılmaz Y. Complex Interval Matrix and Its Some Properties. TJMCS. 2023;15(1):20-26. doi:10.47000/tjmcs.1171285
Chicago
Levent, Halise, and Yılmaz Yılmaz. 2023. “Complex Interval Matrix and Its Some Properties”. Turkish Journal of Mathematics and Computer Science 15 (1): 20-26. https://doi.org/10.47000/tjmcs.1171285.
EndNote
Levent H, Yılmaz Y (June 1, 2023) Complex Interval Matrix and Its Some Properties. Turkish Journal of Mathematics and Computer Science 15 1 20–26.
IEEE
[1]H. Levent and Y. Yılmaz, “Complex Interval Matrix and Its Some Properties”, TJMCS, vol. 15, no. 1, pp. 20–26, June 2023, doi: 10.47000/tjmcs.1171285.
ISNAD
Levent, Halise - Yılmaz, Yılmaz. “Complex Interval Matrix and Its Some Properties”. Turkish Journal of Mathematics and Computer Science 15/1 (June 1, 2023): 20-26. https://doi.org/10.47000/tjmcs.1171285.
JAMA
1.Levent H, Yılmaz Y. Complex Interval Matrix and Its Some Properties. TJMCS. 2023;15:20–26.
MLA
Levent, Halise, and Yılmaz Yılmaz. “Complex Interval Matrix and Its Some Properties”. Turkish Journal of Mathematics and Computer Science, vol. 15, no. 1, June 2023, pp. 20-26, doi:10.47000/tjmcs.1171285.
Vancouver
1.Halise Levent, Yılmaz Yılmaz. Complex Interval Matrix and Its Some Properties. TJMCS. 2023 Jun. 1;15(1):20-6. doi:10.47000/tjmcs.1171285
Cited By
Algebraic Results on Soft Normed Quasilinear Spaces
Turkish Journal of Mathematics and Computer Science
https://doi.org/10.47000/tjmcs.1433191