On the Solution of a Class of Nonlinear Systems Governed by an M-Matrix
Joint Authors
Themistoclakis, Woula
Vecchio, Antonia
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-06-08
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We consider a weakly nonlinear system of the form (I+φ(x)A)x=p, where φ(x) is a real function of the unknown vector x, and (I+φ(x)A) is an M-matrix.
We propose to solve it by means of a sequence of linear systems defined by the iteration procedure (I+φ(xr)A)xr+1=p, r=0,1,….
The global convergence is proved by considering a related fixed-point problem.
American Psychological Association (APA)
Themistoclakis, Woula& Vecchio, Antonia. 2012. On the Solution of a Class of Nonlinear Systems Governed by an M-Matrix. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-470022
Modern Language Association (MLA)
Themistoclakis, Woula& Vecchio, Antonia. On the Solution of a Class of Nonlinear Systems Governed by an M-Matrix. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-470022
American Medical Association (AMA)
Themistoclakis, Woula& Vecchio, Antonia. On the Solution of a Class of Nonlinear Systems Governed by an M-Matrix. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-470022
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-470022
