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Physical Sciences and Mathematics Commons

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Journal

TÜBİTAK

1996

Cauchy-Toeplitz matrix

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Full-Text Articles in Physical Sciences and Mathematics

On The \Ell_{P} Norms Of Almost Cauchy-Toeplitz Matrices, D. Bozkurt Jan 1996

On The \Ell_{P} Norms Of Almost Cauchy-Toeplitz Matrices, D. Bozkurt

Turkish Journal of Mathematics

In this study, we have given the definition of almost Cauchy-Toeplitz matrix. i.e. its elements are t_{ij}= a(i=j) and t_{ij}=1/(i-j)\, (i\neq j) such that a is a real number. We have found a lower and upper bounds for the \ell_{p} norm of this matrix. Furthermore, we have done the proof of the conjecture that were given by myself for the spectral norm of this matrix.