Some Bounds on \(\ell_p\) Matrix and \(\ell_p\) Operator Norms of Almost Circulant, Cauchy-Toeplitz and Cauchy-Hankel Matrices
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Department of Mathematics, Education Faculty of Selçuk University, 42099, Konya, Turkey
2
Department of Mathematics, Art and Science Faculty of Selçuk University, 42031, Konya, Turkey
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Authors to whom correspondence should be addressed.
Math. Comput. Appl. 2002, 7(3), 211-218; https://doi.org/10.3390/mca7030211
Published: 1 December 2002
Abstract
Let Cn, Tn and Hn 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 Cn\(\otimes\)Tn and Cn\(\otimes\)Hn.
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MDPI and ACS Style
Solak, S.; Bozkurt, D. Some Bounds on \(\ell_p\) Matrix and \(\ell_p\) Operator Norms of Almost Circulant, Cauchy-Toeplitz and Cauchy-Hankel Matrices. Math. Comput. Appl. 2002, 7, 211-218. https://doi.org/10.3390/mca7030211
AMA Style
Solak S, Bozkurt D. Some Bounds on \(\ell_p\) Matrix and \(\ell_p\) Operator Norms of Almost Circulant, Cauchy-Toeplitz and Cauchy-Hankel Matrices. Mathematical and Computational Applications. 2002; 7(3):211-218. https://doi.org/10.3390/mca7030211
Chicago/Turabian StyleSolak, Süleyman, and Durmuş Bozkurt. 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 7, no. 3: 211-218. https://doi.org/10.3390/mca7030211
