On the spectral norms of Cauchy-Toeplitz and Cauchy-Hankel matrices.

DOI10.1016/S0096-3003(02)00205-9zbMath1033.15024OpenAlexW2161607671MaRDI QIDQ1406240

Süleyman Solak, Durmuş Bozkurt

Publication date: 9 September 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00205-9

zbMATH Keywords

upper boundslower boundsspectral normCauchy-Hankel matrixCauchy-Toeplitz matrix

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (13)

Lower bounds for the norms of Cauchy-Toeplitz and Cauchy-Hankel matrices ⋮ Norms and spread of the Fibonacci and Lucas RSFMLR circulant matrices ⋮ On the lower bounds for the norms of Cauchy-Toeplitz and Cauchy-Hankel matrices ⋮ On the spectral norm of the matrix with integer sequences ⋮ L-matrices with lacunary coefficients ⋮ On the Frobenius norm of commutator of Cauchy-Toeplitz matrix and exchange matrix ⋮ An application of matricial Fibonacci identities to the computation of spectral norms ⋮ Further results on Cauchy tensors and Hankel tensors ⋮ Upper bounds for eigenvalues of Cauchy-Hankel tensors ⋮ On the bounds for the norms of \(r\)-circulant matrices with the Fibonacci and Lucas numbers ⋮ The norm of an infinite L-matrix ⋮ Research problem: on the norms of infinite Cauchy–Toeplitz-plus-Cauchy–Hankel matrices ⋮ Positive definiteness and semi-definiteness of even order symmetric Cauchy tensors

Cites Work

• Unnamed Item
• Cauchy-Toeplitz matrices and some applications
• On the distribution of the singular values of Toeplitz matrices
• On the bounds for the norms of Cauchy-Toeplitz and Cauchy-Hankel matrices
• On thel_pnorms of cauchy-toelitz matrices

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