Extending the applicability of Newton’s and secant methods under regular smoothness

Ioannis K. Argyros, Santhosh George, Shobha M. Erappa

Research output: Contribution to journalArticlepeer-review

Abstract

The concept of regular smoothness has been shown to be an appropriate and powerfull tool for the convergence of iterative procedures converging to a locally unique solution of an operator equation in a Banach space setting. Motivated by earlier works, and optimization considerations, we present a tighter semi-local convergence analysis using our new idea of restricted convergence domains. Numerical examples complete this study.

Original languageEnglish
Pages (from-to)195-210
Number of pages16
JournalBoletim da Sociedade Paranaense de Matematica
Volume39
Issue number6
DOIs
Publication statusPublished - 11-10-2020

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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