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Aberth method

The Aberth method, or Aberth–Ehrlich method, named after Oliver Aberth and Louis W. Ehrlich, is a root-finding algorithm developed in 1967 for… 
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Related topics

Related topics

10 relations
Durand–Kerner methodGauss–Seidel methodJacobi methodList of numerical analysis topics

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2015
2015
An Algorithm for Quadratic Eigenproblems with Low Rank Damping
We consider quadratic eigenproblems $\left(M\lambda^2+D\lambda+K\right)x=0$, where all coefficient matrices are real and positive… 
2014
2014
On the simultaneous refinement of the zeros of H-palindromic polynomials
2012
2012
Real dqds for the nonsymmetric tridiagonal eigenvalue problem
We present a new transform, triple dqds, to help to compute the eigenvalues of a real tridiagonal matrix C using real arithmetic… 
2011
2011
Midpoint two- steps rule for the square root method
We present a method “Midpoint-Two-Steps rule” for the square root functional iteration for enclosing zeros of a polynomial. The… 
2008
2008
On fourth order simultaneously zero-finding method for multiple roots of complex polynomial equations 1
In this paper, we present and analyse fourth order method for finding simultaneously multiple zeros of polynomial equations. S. M… 
2006
2006
Numerical Methods for the Tridiagonal Hyperbolic Quadratic Eigenvalue Problem
We consider numerical methods for the computation of the eigenvalues of the tridiagonal hyperbolic quadratic eigenvalue problem… 
2004
2004
On a modification of the Ehrlich–Aberth method for simultaneous approximation of polynomial zeros
A modified method of the fourth order for the simultaneous determination of simple complex zeros of a polynomial, which may be… 
2003
2003
On the fourth order zero-finding methods for polynomials
The fourth order methods for the simultaneous approximation of simple complex zeros of a polynomial are considered. The main… 
1975
1975
Aberth Oliver. The concept of effective method applied to computational problems of linear algebra. Journal of computer and system sciences, vol. 5 (1971), pp. 17–25.
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