Hilbert matrix

Known as: Hilbert matrices 
In linear algebra, a Hilbert matrix, introduced by Hilbert (), is a square matrix with entries being the unit fractions For example, this is the 5… (More)
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Related topics

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9 relations
Approximation theoryCondition numberGramian matrixJacobi eigenvalue algorithm
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Numerical linear algebra

Papers overview

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2017
2017
Hilbert matrix on spaces of Bergman-type
Abstract It is well known (see [8] , [14] ) that the Libera operator L is bounded on the Besov space H ν p , q , α if and only if… (More)
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2017
2017
On the spectrum of the multiplicative Hilbert matrix
We study the multiplicative Hilbert matrix, i.e. the infinite matrix with entries (mn−−−√log(mn))−1 for m,n≥2. This matrix was… (More)
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2016
2016
The multiplicative Hilbert matrix
Abstract It is observed that the infinite matrix with entries ( m n log ⁡ ( m n ) ) − 1 for m , n ≥ 2 appears as the matrix of… (More)
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2012
2012
The Eigenfunctions of the Hilbert Matrix
AbstractFor each noninteger complex number λ, the Hilbert matrix $$H_\lambda= \biggl( \frac{1}{n+m+\lambda} \biggr)_{n,m\geq0… (More)
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2012
2012
HILBERT MATRIX OPERATOR ON SPACES OF ANALYTIC FUNCTIONS
We consider the action of the Hilbert matrix operator, H; on the Hardy space H 1 , weighted Hardy spaces H p fi (fi ‚ 0); Bergman… (More)
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2011
2011
Hilbert Matrix Based Cryptosystem using a Session Key
Cryptography protects users by providing functionality for the encryption of data and authentication of other users. This… (More)
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2010
2010
ON THE HILBERT MATRIX, II1
where the best possible constant Mk is it for k ^ 1/2 and ir\ csc irk\ for 1/2 <k. Thus, when considered as a linear operator on… (More)
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1998
1998
A Generalized Hilbert Matrix Problem and Confluent Chebyshev--Vandermonde Systems
This paper deals with fast solution of the generalized Hilbert matrix problem and confluent Chebyshev--Vandermonde systems. First… (More)
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Highly Cited
1983
Highly Cited
1983
TRICKS OR TREATS WITH THE HILBERT MATRIX
It is natural to ask: What are the natural consequences from such a natural assemblage of (the reciprocals of) natural numbers… (More)
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1957
1957
On the Hilbert matrix
The present paper is concerned with the existence2 of the eigenvalue ir of the Hilbert matrix A = ((i+k-1)-') or A = ((i+k)-'), i… (More)
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