Conjugate gradient algorithm and fractals

DOI10.1155/DDNS/2006/52682zbMath1104.37035OpenAlexW1969613692MaRDI QIDQ2491484

Ilham Djellit, Mohamed Lamine Sahari

Publication date: 29 May 2006

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/126879

zbMATH Keywords

gradient methodbasins of attractionfractal structuresCayley's problemcomplex roots of polynomials

Mathematics Subject Classification ID

Fractals (28A80) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Methods of reduced gradient type (90C52)

Cites Work

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• On the quadratic mapping \(z\rightarrow z^{2}-\mu \) for complex \(\mu \) and \(z\): the fractal structure of its set, and scaling
• 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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