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Algorithms 2015, 8(3), 774-785;

Parallel Variants of Broyden’s Method

West University of Timisoara, B-dul V. Parvan No.4, Timisoara 300223, Romania
Author to whom correspondence should be addressed.
Academic Editors: Alicia Cordero, Juan R. Torregrosa and Francisco I. Chicharro
Received: 23 June 2015 / Revised: 27 August 2015 / Accepted: 1 September 2015 / Published: 15 September 2015
(This article belongs to the Special Issue Numerical Algorithms for Solving Nonlinear Equations and Systems)
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In this paper we investigate some parallel variants of Broyden’s method and, for the basic variant, we present its convergence properties. The main result is that the behavior of the considered parallel Broyden’s variants is comparable with the classical parallel Newton method, and significantly better than the parallel Cimmino method, both for linear and nonlinear cases. The considered variants are also compared with two more recently proposed parallel Broyden’s method. Some numerical experiments are presented to illustrate the advantages and limits of the proposed algorithms. View Full-Text
Keywords: systems of equations; Broyden’s method; parallel algorithms systems of equations; Broyden’s method; parallel algorithms

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Bistran, I.; Maruster, S.; Mafteiu-Scai, L.O. Parallel Variants of Broyden’s Method. Algorithms 2015, 8, 774-785.

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