Convergence analysis of some iterative methods for a nonlinear matrix equation

Hasanov V. I., HAKKAEV S. A.

Computers and Mathematics with Applications, cilt.72, sa.4, ss.1164-1176, 2016 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 72 Sayı: 4
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1016/j.camwa.2016.06.035
  • Dergi Adı: Computers and Mathematics with Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1164-1176
  • Anahtar Kelimeler: Convergence rate, Fixed point iteration, Inversion free iteration, Newton method, Nonlinear matrix equation, Stein iteration
  • Trakya Üniversitesi Adresli: Hayır

Özet

We study iterative methods for finding the largest Hermitian positive definite solution of the matrix e. Convergence rates of the basic fixed point iteration, inversion free variants of the basic fixed point iteration, and Stein iteration are considered. Some numerical examples are presented to illustrate the convergence behaviour of the various algorithms.