Research Article
Year 2023,
Volume: 15 Issue: 1, 20 - 26, 30.06.2023
Abstract
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.
- 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.
Year 2023,
Volume: 15 Issue: 1, 20 - 26, 30.06.2023
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.
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.
- 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.
There are 13 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Mathematical Sciences |
| Journal Section | Articles |
| Authors | |
| Publication Date | June 30, 2023 |
| Published in Issue | Year 2023 Volume: 15 Issue: 1 |