A Monotone Newton-Like Method for the Computation of Fixed Points

DOI10.1007/978-3-319-18161-5_29zbMath1372.65155OpenAlexW2295169111MaRDI QIDQ5356998

Boubakeur Benahmed, Lotfi Mouhadjer

Publication date: 12 September 2017

Published in: Advances in Intelligent Systems and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-18161-5_29

zbMATH Keywords

rate of convergencefixed point iterationmonotone Newton-like methodnonlinear operators in ordered Banach spaces

Mathematics Subject Classification ID

Numerical solutions to equations with nonlinear operators (65J15) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (1)

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Cites Work

• On the Hermitian positive defnite solution of the nonlinear matrix equation \(X + A^*X ^{-1} A + B^*X ^{-1} B = I\)
• Fixed point theorems in ordered Banach spaces via quasilinearization
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