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Dergiler / Turkish Journal of Mathematics and Computer Science / 2026 / Volume: 15 Issue: 1

Complex Interval Matrix and Its Some Properties

Halise Levent(İNÖNÜ ÜNİVERSİTESİ)0000-0002-7139-361X
Yılmaz Yılmaz(INONU UNIVERSITY)0000-0003-1484-782X
Sayfa
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Yayın Tarihi
2023-06-30
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, we put a norm on the space of the complex interval matrices and we calculate the norm of a complex interval matrices.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we present the notion of complex interval matrix.
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Temel Bulgular & Veri:Further, we discuss the algebraic structure of the set of all $(m\times n)$ complex interval matrices by using tools of quasilinear functional analysis.
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Sonuç & Katkı:Finally, we put a norm on the space of the complex interval matrices and we calculate the norm of a complex interval matrices.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Normed quasilinear space · complex interval · complex interval matrix

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.

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Bu Makaleye Atıf Yap

Levent, H., Yılmaz, Y. (2023). Complex Interval Matrix and Its Some Properties. Turkish Journal of Mathematics and Computer Science, Volume: 15 Issue: 1. https://doi.org/10.47000/tjmcs.1171285

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Kaynakça (13)

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  5. Bozkurt, H., Yılmaz, Y., Some new results on inner product quasilinear spaces, Cogents Mathematics, (2016).
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  10. Moore, R.E., Kearfott, R.B., Cloud, M.J., Introduction to Interval Analysis, Philadelphia: SIAM, 2009.
  11. Rohn, J., Interval matrices: Singularity and real eiganvalues, SIAM Journal of Matrix Analysis and Applications, 1(1993), 82–91.
  12. Yılmaz, Y., Levent, H., Inner-product quasilinear spaces with applications in signal processing, Advanced Studies: Euro-Tbilisi Mathematical Journal, 14(2021), 4.
  13. Yılmaz, Y., Bozkurt, H., Çakan, S., On orthonormal sets in inner product quasilinear spaces, Creat. Math. Inform, 25(2016), 229–239.