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Dergiler / Mathematical and Computational Applications / 2002 / Cilt: 7 - Sayı: 3

Some bounds on $\ell_p$ matrix and $\ell_p$ operator norms of almost circulant, Cauchy-Toeplitz and Cauchy- Hankel matrices

SÜLEYMAN SOLAK
Durmuş BOZKURT
Sayfa
211–218
DOI
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Moreover, we give some results for Kronecker products $C_n\bigotimesT_n$ and $C_n\bigotimesH_n$

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Let $C_n$ , $T_n$ and $H_n$ denote almost circulant, Cauchy-Toeplitz and Cauchy-Hankel matrices, respectively.
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Temel Bulgular & Veri:We find some upper bounds for $\ell_p$ matrix norm and $\ell_p$ operator norm of this matrices.
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Sonuç & Katkı:Moreover, we give some results for Kronecker products $C_n\bigotimesT_n$ and $C_n\bigotimesH_n$
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

Let $C_n$ , $T_n$ and $H_n$ denote almost circulant, Cauchy-Toeplitz and Cauchy-Hankel matrices, respectively. We find some upper bounds for $\ell_p$ matrix norm and $\ell_p$ operator norm of this matrices. Moreover, we give some results for Kronecker products $C_n\bigotimesT_n$ and $C_n\bigotimesH_n$

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Bu Makaleye Atıf Yap

SOLAK, S., BOZKURT, D. (2002). Some bounds on $\ell_p$ matrix and $\ell_p$ operator norms of almost circulant, Cauchy-Toeplitz and Cauchy- Hankel matrices. Mathematical and Computational Applications, Cilt: 7 - Sayı: 3, 211–218. https://ajindex.com/articles/280175

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Kaynakça (1)

  1. ⦁ D.Bozkurt, On the é Norms of Almost Cauchy-Toeplitz Matrices, Turkish Journal of Mathematics, 20, 4, 1996. ⦁ D.Taşçi, The ë Operator Norms of Some Special Matrices, S.U. Fen-Edebi yat Fakultesi, Fen Bilimleri Dergisi, 12, 1994. ⦁ E.E. Tyrtshnikov, Cauchy-Toeplitz Matrices and Some Applications, Linear Algebra and Its Applications, 149, 1-18,1991. ⦁ R. Moenck, On computing closed forms for summations, Proc. MACSYMA user’s conf., 225-236, 1977.