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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 theory
Condition number
Gramian matrix
Jacobi eigenvalue algorithm
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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
I. Burova
,
M. A. Kalnitskaia
,
A. V. Malevich
2018
Corpus ID: 59158709
In this paper we propose a so-called variational sigmoidal transformation, containing two additional parameters, which inherits…
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2016
2016
The generalized Lilbert matrix
E. Kılıç
,
H. Prodinger
Periodica Mathematica Hungarica
2016
Corpus ID: 29668833
We introduce a generalized Lilbert [Lucas-Hilbert] matrix. Explicit formulæ are derived for the LU-decomposition and their…
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2016
2016
HILBERT MATRIX AND DIFFERENCE OPERATOR OF ORDER m
Murat Kiricsci
,
Harun Polat
Facta Universitatis Series Mathematics and…
2016
Corpus ID: 119279062
In this paper, some applications of the Hilbert matrix in image processing and cryptology are mentioned and an algorithm related…
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2014
2014
Hilbert Matrices and Existence
Jan S. Xoah
2014
Corpus ID: 17084022
Let rΦ = 1. The goal of the present paper is to classify subrings. We show that Q 6= vp. The groundbreaking work of F. Raman on…
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2011
2011
Hilbert Matrix Based Cryptosystem using a Session Key
P. V. K. Raja
,
A. Chakravarthy
,
P. S. Avadhani
arXiv.org
2011
Corpus ID: 6247733
Cryptography protects users by providing functionality for the encryption of data and authentication of other users. This…
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2010
2010
On admissible Hilbert matrices on $\mathbb P^1\times \mathbb P^1$
Paola Bonacini
,
Lucia Marino
2010
Corpus ID: 119041350
In this paper we determine a class of admissible matrices which are the Hilbert functions of some 0-dimensional schemes in…
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2008
2008
N T ] 1 1 Se p 20 06 Fibonacci numbers and orthogonal polynomials
C. Berg
2008
Corpus ID: 18443180
We prove that the sequence (1/Fn+2)n≥0 of reciprocals of the Fibonacci numbers is a moment sequence of a certain discrete…
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2005
2005
Upper bounds for the spectral radius of the n × n hilbert matrix
P. Otte
2005
Corpus ID: 122289642
We derive upper bounds for the spectral radius of the n x n Hilbert matrix. The key idea is to write the Hilbert matrix as…
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1990
1990
ON COMPUTATIONAL COMPLEXITY FOR THE MULTIPLICATION OF GENERALIZED HILBERT MATRICES WITH VECTORS AND SOLUTION OF CERTAIN GENERALIZED HILBERT LINEAR SYSTEMS
路浩
1990
Corpus ID: 119011805
1990
1990
ON COMPUTATIONAL COMPLEXITY FOR THE MULTIPLICATION OF GENERALIZED HILBERT MATRICES WITH VECTORS AND SOLUTION OF CERTAIN GENERALIZED HILBERT LINEAR SYSTEMS
H. Lu
1990
Corpus ID: 124568678