AN EXPLICIT FORMULA FOR SPECTRAL NORMS OF CIRCULANT MATRICES WITH CHEBYSHEV POLYNOMIALS OF THE SECOND-KIND
Acta Mathematica Universitatis Comenianae, cilt.94, sa.1, ss.1-5, 2025 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 94 Sayı: 1
- Basım Tarihi: 2025
- Dergi Adı: Acta Mathematica Universitatis Comenianae
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Central & Eastern European Academic Source (CEEAS), MathSciNet, zbMATH
- Sayfa Sayıları: ss.1-5
- Anahtar Kelimeler: Chebyshev polynomials, Circulant matrices, spectral norm
- Ankara Hacı Bayram Veli Üniversitesi Adresli: Evet
Özet
The spectral norms of circulant matrices containing some well-known number sequences are computed in numerous publications in the literature; however, they only provide bounds for the spectral norms. In this paper, we provide an explicit formula for the circulant matrix involving the Chebyshev polynomials of the second-kind.