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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… Expand
Wikipedia

Related topics

Related topics

9 relations
Approximation theoryCondition numberGramian matrixJacobi eigenvalue algorithm
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Broader (1)

Numerical linear algebra

Papers overview

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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… Expand
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2015
2015
Estimating a Few Extreme Singular Values and Vectors for Large-Scale Matrices in Tensor Train Format
We propose new algorithms for singular value decomposition (SVD) of large-scale matrices based on a low-rank tensor approximation… Expand
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2012
2012
PAPR reduction performance analysis of Optimized Matrix based Phase Sequences in OFDM systems
Orthogonal Frequency Division Multiplexing (OFDM) is the digital multicarrier modulation scheme for high speed communication… Expand
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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… Expand
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2011
2011
Explicit solution of the finite time L2-norm polynomial approximation problem
Abstract The aim of this paper is to present a new approach to the finite time L 2 -norm polynomial approximation problem. A new… Expand
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2009
2009
On Solving the Ill-Conditioned System Ax=b: General-Purpose Conditioners Obtained From the Boundary-Collocation Solution of the Laplace Equation, Using Trefftz Expansions With Multiple Length Scales
Here we develop a general purpose pre/post conditioner T, to solve an ill-posed system of linear equations, Ax = b. The… Expand
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2007
2007
Numerical Analysis Using MATLAB and Excel
 
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2007
2007
A new algorithm for encoding and decoding the Hilbert order
An iterative algorithm is described, based on the replication process of the Hilbert matrix, for encoding and decoding the… Expand
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1996
1996
Parallel Computation of Polynomial GCD and Some Related Parallel Computations over Abstract Fields
  • V. Pan
  • Theor. Comput. Sci.
  • 1996
    • Corpus ID: 38894833
Several fundamental problems of computations with polynomials and structured matrices are well known for their resistance to… Expand
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Highly Cited
1973
Highly Cited
1973
Implementation of a high level language machine
Computing machines which directly execute the statements of a high level language have been proposed in the past. This report… Expand
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