# Avram Sidi

According to our database1, Avram Sidi authored at least 49 papers between 1988 and 2021.

Collaborative distances:
• Dijkstra number2 of five.
• Erdős number3 of four.

Book
In proceedings
Article
PhD thesis
Other

## Bibliography

2021
PVTSI<sup>m</sup>: A Novel Approach to Computation of Hadamard Finite Parts of Nonperiodic Singular Integrals.
CoRR, 2021

Exactness and Convergence Properties of Some Recent Numerical Quadrature Formulas for Supersingular Integrals of Periodic Functions.
CoRR, 2021

Unified Compact Numerical Quadrature Formulas for Hadamard Finite Parts of Singular Integrals of Periodic Functions.
CoRR, 2021

Application of a Generalized Secant Method to Nonlinear Equations with Complex Roots.
Axioms, 2021

2020
Acceleration of convergence of some infinite sequences {A<sub>n</sub>} whose asymptotic expansions involve fractional powers of n via the ${\tilde {d}}^{(m)}$ transformation.
Numer. Algorithms, 2020

A convergence study for reduced rank extrapolation on nonlinear systems.
Numer. Algorithms, 2020

Generalization of the Secant Method for Nonlinear Equations (extended version).
CoRR, 2020

Vector versions of Prony's algorithm and vector-valued rational approximations.
Adv. Comput. Math., 2020

2017
On a vectorized version of a generalized Richardson extrapolation process.
Numer. Algorithms, 2017

Minimal polynomial and reduced rank extrapolation methods are related.
Adv. Comput. Math., 2017

Vector Extrapolation Methods with Applications.
Computational science and engineering 17, SIAM, ISBN: 978-1-611-97495-9, 2017

2014
Richardson Extrapolation on Some Recent Numerical Quadrature Formulas for Singular and Hypersingular Integrals and Its Study of Stability.
J. Sci. Comput., 2014

Biorthogonal polynomials and numerical quadrature formulas for some finite-range integrals with symmetric weight functions.
J. Comput. Appl. Math., 2014

2013
Compact Numerical Quadrature Formulas for Hypersingular Integrals and Integral Equations.
J. Sci. Comput., 2013

2012
Euler-Maclaurin expansions for integrals with arbitrary algebraic endpoint singularities.
Math. Comput., 2012

Review of two vector extrapolation methods of polynomial type with applications to large-scale problems.
J. Comput. Sci., 2012

2011
Acceleration of convergence of general linear sequences by the Shanks transformation.
Numerische Mathematik, 2011

Asymptotic expansions of Legendre series coefficients for functions with interior and endpoint singularities.
Math. Comput., 2011

2010
Asymptotic analysis of a generalized Richardson extrapolation process on linear sequences.
Math. Comput., 2010

A simple approach to asymptotic expansions for Fourier integrals of singular functions.
Appl. Math. Comput., 2010

2009
Efficient Beltrami Image Filtering via Vector Extrapolation Methods.
SIAM J. Imaging Sci., 2009

Variable transformations and Gauss-Legendre quadrature for integrals with endpoint singularities.
Math. Comput., 2009

Asymptotic expansions of Gauss-Legendre quadrature rules for integrals with endpoint singularities.
Math. Comput., 2009

Asymptotic expansions of Legendre series coefficients for functions with endpoint singularities.
Asymptot. Anal., 2009

2008
Methods for Acceleration of Convergence (Extrapolation) of Vector Sequences.
Proceedings of the Wiley Encyclopedia of Computer Science and Engineering, 2008

A de Montessus type convergence study of a least-squares vector-valued rational interpolation procedure.
J. Approx. Theory, 2008

Vector extrapolation methods with applications to solution of large systems of equations and to PageRank computations.
Comput. Math. Appl., 2008

2007
A Novel Class of Symmetric and Nonsymmetric Periodizing Variable Transformations for Numerical Integration.
J. Sci. Comput., 2007

2006
Extension of a class of periodizing variable transformations for numerical Integration.
Math. Comput., 2006

Algebraic properties of some new vector-valued rational interpolants.
J. Approx. Theory, 2006

Numerical integration over smooth surfaces in R<sup>3</sup> via class S<sub>m</sub> variable transformations. Part II: Singular integrands.
Appl. Math. Comput., 2006

2005
Analysis of Atkinson's variable transformation for numerical integration over smooth surfaces in ℝ<sup>3</sup>.
Numerische Mathematik, 2005

Numerical integration over smooth surfaces in R<sup>3</sup> via class S<sub>m</sub> variable transformations. Part I: Smooth integrands.
Appl. Math. Comput., 2005

2004
Euler-Maclaurin expansions for integrals with endpoint singularities: a new perspective.
Numerische Mathematik, 2004

A new approach to vector-valued rational interpolation.
J. Approx. Theory, 2004

Application of Extrapolation Methods to Numerical Solution of Fredholm Integral Equations Related to Boundary Value Problems.
Proceedings of the Computational Science, 2004

2003
Orthogonal polynomials and semi-iterative methods for the Drazin-inverse solution of singular linear systems.
Numerische Mathematik, 2003

A convergence and stability study of the iterated Lubkin transformation and the Theta-algorithm.
Math. Comput., 2003

Practical Extrapolation Methods - Theory and Applications.
Cambridge monographs on applied and computational mathematics 10, Cambridge University Press, ISBN: 978-0-521-66159-1, 2003

2002
New convergence results on the generalized Richardson extrapolation process GREP for logarithmic sequences.
Math. Comput., 2002

2000
The Richardson Extrapolation Process with a Harmonic Sequence of Collocation Points.
SIAM J. Numer. Anal., 2000

Extrapolation methods and derivatives of limits of sequences.
Math. Comput., 2000

1998
Upper bounds for convergence rates of acceleration methods with initial iterations.
Numer. Algorithms, 1998

1996
Towards Automatic Multigrid Algorithms for SPD, Nonsymmetric and Indefinite Problems.
SIAM J. Sci. Comput., 1996

An automatic integration procedure for infinite range integrals involving oscillatory kernels.
Numer. Algorithms, 1996

1995
Application of Vector-Valued Rational Approximations to the Matrix Eigenvalue Problem and Connections with Krylov Subspace Methods.
SIAM J. Matrix Anal. Appl., 1995

1994
Convergence of intermediate rows of minimal polynomial and reduced rank extrapolation tables.
Numer. Algorithms, 1994

1989
Comparison of some numerical quadrature formulas for weakly singular periodic Fredholm integral equations.
Computing, 1989

1988
Quadrature methods for periodic singular and weakly singular Fredholm integral equations.
J. Sci. Comput., 1988