Zero finding via feedback stabilisation

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Title: Zero finding via feedback stabilisation
Author(s): Mylvaganam, T
Astolfi, A
Item Type: Conference Paper
Abstract: Two iterative algorithms for solving systems of linear and nonlinear equations are proposed. For linear problems the algorithm is based on a control theoretic approach and it is guaranteed to yield a converging sequence for any initial condition provided a solution exists. Systems of nonlinear equations are then considered and a generalised algorithm, again taking inspiration from control theory, is proposed. Local convergence is guaranteed in the nonlinear setting. Both the linear and the nonlinear algorithms are demonstrated on a series of numerical examples.
Publication Date: 9-Jul-2017
Date of Acceptance: 27-Feb-2017
URI: http://hdl.handle.net/10044/1/45346
ISSN: 1474-6670
Publisher: Elsevier
Journal / Book Title: IFAC Proceedings Volumes (IFAC-PapersOnline)
Copyright Statement: This paper is embargoed until publication.
Conference Name: IFAC 2017 World Congress
Publication Status: Accepted
Start Date: 2017-07-09
Finish Date: 2017-07-14
Conference Place: Toulouse, France
Embargo Date: publication subject to indefinite embargo
Appears in Collections:Electrical and Electronic Engineering
Aeronautics



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