Yıl: 2023 Cilt: 15 Sayı: 1 Sayfa Aralığı: 20 - 26 Metin Dili: İngilizce DOI: 10.47000/tjmcs.1171285 İndeks Tarihi: 25-07-2023

Complex Interval Matrix and Its Some Properties

Öz:
In this paper, we present the notion of complex interval matrix. Further, we discuss the algebraic structure of the set of all $(mtimes n)$ 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.
Anahtar Kelime: Normed quasilinear space complex interval complex interval matrix

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
  • 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.
  • Levent, H., Yılmaz, Y., An application: Representations of some systems on non-deterministic EEG signals, J. Biostat Biometric, App., 2(2017), 101.
  • Moore, R.E., Kearfott, R.B., Cloud, M.J., Introduction to Interval Analysis, Philadelphia: SIAM, 2009.
  • Rohn, J., Interval matrices: Singularity and real eiganvalues, SIAM Journal of Matrix Analysis and Applications, 1(1993), 82–91.
  • Yılmaz, Y., Levent, H., Inner-product quasilinear spaces with applications in signal processing, Advanced Studies: Euro-Tbilisi Mathematical Journal, 14(2021), 4.
  • Yılmaz, Y., Bozkurt, H., Çakan, S., On orthonormal sets in inner product quasilinear spaces, Creat. Math. Inform, 25(2016), 229–239.
APA Levent H, Yilmaz Y (2023). Complex Interval Matrix and Its Some Properties. , 20 - 26. 10.47000/tjmcs.1171285
Chicago Levent Halise,Yilmaz Yilmaz Complex Interval Matrix and Its Some Properties. (2023): 20 - 26. 10.47000/tjmcs.1171285
MLA Levent Halise,Yilmaz Yilmaz Complex Interval Matrix and Its Some Properties. , 2023, ss.20 - 26. 10.47000/tjmcs.1171285
AMA Levent H,Yilmaz Y Complex Interval Matrix and Its Some Properties. . 2023; 20 - 26. 10.47000/tjmcs.1171285
Vancouver Levent H,Yilmaz Y Complex Interval Matrix and Its Some Properties. . 2023; 20 - 26. 10.47000/tjmcs.1171285
IEEE Levent H,Yilmaz Y "Complex Interval Matrix and Its Some Properties." , ss.20 - 26, 2023. 10.47000/tjmcs.1171285
ISNAD Levent, Halise - Yilmaz, Yilmaz. "Complex Interval Matrix and Its Some Properties". (2023), 20-26. https://doi.org/10.47000/tjmcs.1171285
APA Levent H, Yilmaz Y (2023). Complex Interval Matrix and Its Some Properties. Turkish Journal of Mathematics and Computer Science, 15(1), 20 - 26. 10.47000/tjmcs.1171285
Chicago Levent Halise,Yilmaz Yilmaz Complex Interval Matrix and Its Some Properties. Turkish Journal of Mathematics and Computer Science 15, no.1 (2023): 20 - 26. 10.47000/tjmcs.1171285
MLA Levent Halise,Yilmaz Yilmaz Complex Interval Matrix and Its Some Properties. Turkish Journal of Mathematics and Computer Science, vol.15, no.1, 2023, ss.20 - 26. 10.47000/tjmcs.1171285
AMA Levent H,Yilmaz Y Complex Interval Matrix and Its Some Properties. Turkish Journal of Mathematics and Computer Science. 2023; 15(1): 20 - 26. 10.47000/tjmcs.1171285
Vancouver Levent H,Yilmaz Y Complex Interval Matrix and Its Some Properties. Turkish Journal of Mathematics and Computer Science. 2023; 15(1): 20 - 26. 10.47000/tjmcs.1171285
IEEE Levent H,Yilmaz Y "Complex Interval Matrix and Its Some Properties." Turkish Journal of Mathematics and Computer Science, 15, ss.20 - 26, 2023. 10.47000/tjmcs.1171285
ISNAD Levent, Halise - Yilmaz, Yilmaz. "Complex Interval Matrix and Its Some Properties". Turkish Journal of Mathematics and Computer Science 15/1 (2023), 20-26. https://doi.org/10.47000/tjmcs.1171285