The complex dynamic of conjugate gradient method

DOI10.1080/00207160701589510zbMath1160.65315OpenAlexW1993426425MaRDI QIDQ3615545

Ilham Djellit, Mohamed Lamine Sahari

Publication date: 20 March 2009

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160701589510

zbMATH Keywords

convergencedynamical systemscomplex functionsfractalsconjugate gradientbasins of attractionnon-linear equationsroot-finding algorithmCayley's problem

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Numerical computation of solutions to single equations (65H05) Fractals (28A80)

Cites Work

• Cayley's problem and Julia sets
• Newton's method and complex dynamical systems
• Descent Property and Global Convergence of the Fletcher—Reeves Method with Inexact Line Search
• A Rapidly Convergent Descent Method for Minimization
• A new approach to variable metric algorithms

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