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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… 
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Related topics

Related topics

9 relations
Approximation theoryCondition numberGramian matrixJacobi eigenvalue algorithm

Broader (1)

Numerical linear algebra

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2018
2018
On the Numerical Solution of System of Linear Algebraic Equations with Positive Definite Symmetric Ill-Posed Matrices
In this paper we propose a so-called variational sigmoidal transformation, containing two additional parameters, which inherits… 
2016
2016
Weighted least squares design of 2-D FIR filters using a matrix-based generalized conjugate gradient method
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… 
2011
2011
Explicit solution of the finite time L2-norm polynomial approximation problem
Highly Cited
2009
Highly Cited
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… 
2009
2009
Average characteristic polynomials for multiple orthogonal polynomial ensembles
Highly Cited
2007
Highly Cited
2007
Numerical Analysis Using MATLAB and Excel
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… 
2000
2000
Pin-pointing solution of ill-conditioned square systems of linear equations
1996
1996
Parallel Computation of Polynomial GCD and Some Related Parallel Computations over Abstract Fields
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