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On generalized
weighted Hilbert matrices
Emmanuel Preissmann and Olivier Lévêque |
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Vol. 265 (2013), No. 1, 199–219
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Abstract |
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We study spectral properties of generalized weighted Hilbert matrices. In particular, we establish results on the spectral norm, the determinant, and various relations between the eigenvalues and eigenvectors of such matrices. We also study the asymptotic behavior of the spectral norm of the classical Hilbert matrix. |
Keywords
Hilbert matrices, Hilbert inequalities,
eigenvalue-eigenvector relations
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Mathematical Subject Classification 2010
Primary: 26D15
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Milestones
Received: 17 August 2012
Accepted: 11 February 2013
Published: 28 August 2013
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Authors |
| Emmanuel Preissmann | |
| Swiss Federal Institute of
Technology CH-1015 Lausanne Switzerland |
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| Olivier Lévêque | |
| Swiss Federal Institute of
Technology CH-1015 Lausanne Switzerland |
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