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Upper bounds for the spectral radius of the \(n \times n\) Hilbert matrix

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Publication:816313
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DOI10.2140/pjm.2005.219.323zbMath1100.15009OpenAlexW2033119601MaRDI QIDQ816313

Peter Otte

Publication date: 10 March 2006

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2005.219.323

zbMATH Keywords

spectral radiusoperator normHilbert matrixWielandt min-max principle


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

Asymptotic Spectral Properties of the Hilbert \(L\) -Matrix, Uncertainty quantification for random Hamiltonian systems by using polynomial expansions and geometric integrators, Uncertainty quantification for nonlinear difference equations with dependent random inputs via a stochastic Galerkin projection technique, A family of explicitly diagonalizable weighted Hankel matrices generalizing the Hilbert matrix



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