A newton two-stage waveform relaxation method for solving systems of nonlinear algebraic equations

Salkuyeh D. K., Hassanzadeh Z.

Mathematical Communications, cilt.20, sa.1, ss.1-15, 2015 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 1
  • Basım Tarihi: 2015
  • Dergi Adı: Mathematical Communications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1-15
  • Anahtar Kelimeler: Inner/outer iterations, Newton method, Nonlinear algebraic equations, Splitting function, Two-stage, Waveform relaxation method
  • İstanbul Gelişim Üniversitesi Adresli: Hayır

Özet

In this paper, a Newton two-stage waveform relaxation method is introduced to solve systems of nonlinear algebraic equations. The proposed method is derived from the Newton waveform relaxation method by adding further a splitting function and inner iterations. Sufficient conditions for the convergence of the method have been provided. Some numerical examples are given to show the effectiveness of the presented method and to compare it with two available methods.