Path Following by SVD

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Conference object , Article 01 Jan 2006 Italy Publisher:Springer Berlin Heidelberg

Authors: L. DIECI; GASPARO, MARIA GRAZIA; PAPINI, ALESSANDRA;

doi: 10.1007/11758549_92

handle: 2158/261120

Path Following by SVD

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Abstract

In this paper, we propose a path-following method for computing a curve of equilibria of a dynamical system, based upon the smooth Singular Value Decomposition (SVD) of the Jacobian matrix. Our method is capable of detecting fold points, and continuing past folds. It is also able to detect branch points and to switch branches at such points. Algorithmic details and examples are given.

Country

Italy

Related Organizations

University of Florence
Italy
Mississippi School for Mathematics and Science
United States
Georgia Institute of Technology
United States

Keywords

Algorithms; Computer science; Matrix algebra Branch points; Jacobian matrix; Singular Value Decomposition (SVD)

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