Singular values of Cauchy-Toeplitz matrices

DOI10.1016/0024-3795(92)90007-WzbMath0746.15018MaRDI QIDQ1183150

Evgenij E. Tyrtyshnikov

Publication date: 28 June 1992

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

Frobenius normsingular valuesspectral normCauchy matrixToeplity matrix

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (9)

A unifying approach to some old and new theorems on distribution and clustering ⋮ On eigen and singular value clusters ⋮ Singular values and eigenvalues of non-Hermitian block Toeplitz matrices ⋮ Extreme singular values and eigenvalues of non-Hermitian block Toeplitz matrices ⋮ Some results on complex Toeplitz eigenvalues ⋮ Quantitative PAT with simplified P _N approximation ⋮ A note on singular values of Cauchy-Toeplitz matrices ⋮ On the condition numbers of large semi-definite Toeplitz matrices ⋮ Positive definiteness and semi-definiteness of even order symmetric Cauchy tensors

Cites Work

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• Algebraic methods for Toeplitz-like matrices and operators
• The method of discrete singularities in plane problems of the theory of elasticity
• Cauchy-Toeplitz matrices and some applications
• On the distribution of the singular values of Toeplitz matrices
• On bilinear forms in Gaussian random variables and Toeplitz matrices
• Extreme Eigenvalues of Toeplitz Forms and Applications to Elliptic Difference Equations

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