Research Article

Complex Interval Matrix and Its Some Properties

Volume: 15 Number: 1 June 30, 2023
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

  1. Alefeld, G., Herzberger, J., Einführung in die Intervallrechnung, Mannheim: Bibliographhisches Institut., 1974.
  2. Alefeld, G., Herzberger, J., Introduction to Interval Computations, New York: Academic Press., 1983.
  3. 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.
  4. Aubin, J.P., Frankowska, H., Set-Valued Analysis, Boston: Birkhauser, 1990.
  5. Bozkurt, H., Yılmaz, Y., Some new results on inner product quasilinear spaces, Cogents Mathematics, (2016).
  6. Ganesan, K., On properties of interval matrices, International Journal of Computational and Mathematical Sciences 1(2)(2007).
  7. Hansen, E.R., Global Optimization Using Interval Analysis, New York: Marcel Dekkar Inc., 1992.
  8. 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

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