On the solution of a class of nonlinear systems governed by an M -matrix (Articolo in rivista)

Type
Label
  • On the solution of a class of nonlinear systems governed by an M -matrix (Articolo in rivista) (literal)
Anno
  • 2012-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1155/2012/412052 (literal)
Alternative label
  • Themistoclakis, Woula; Vecchio, Antonia (2012)
    On the solution of a class of nonlinear systems governed by an M -matrix
    in Discrete dynamics in nature and society (Online)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Themistoclakis, Woula; Vecchio, Antonia (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#altreInformazioni
  • Article ID: 412052 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://www.hindawi.com/journals/ddns/2012/412052/ (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 2012 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 12 (literal)
Note
  • ISI Web of Science (WOS) (literal)
  • Scopu (literal)
  • athematical Reviews on the web (MathSciNet) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • CNR National Research Council of Italy, Istituto per le Applicazioni Del Calcolo 'Mauro Picone', Via P. Castellino 111, 80131 Napoli, Italy (literal)
Titolo
  • On the solution of a class of nonlinear systems governed by an M -matrix (literal)
Abstract
  • We consider a weakly nonlinear system of the form (I + phi(x)A)x = p, where phi(x) is a real function of the unknown vector x, and (I + phi(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 + phi(x(r))A)x(r + 1) = p, r = 0, 1, ... . The global convergence is proved by considering a related fixed-point problem. (literal)
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