Solving nonlinear integral equations arising in radiative transfer

DOI10.1080/01630569908816917zbMath0942.47043OpenAlexW1973854024MaRDI QIDQ4705843

M. A. Salanova, Miguel A. Hernández, José Manuel Gutiérrez Jimenez, José Antonio Ezquerro

Publication date: 23 August 2000

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569908816917

zbMATH Keywords

nonlinear integral equationorder of convergencequadratic equationssuper-Holley method

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Fixed-point theorems (47H10) Integral operators (47G10) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (11)

A modified Chebyshev's iterative method with at least sixth order of convergence ⋮ A family of modified super-Halley methods with fourth-order convergence ⋮ A variant of super-Halley method with accelerated fourth-order convergence ⋮ On iterative methods with accelerated convergence for solving systems of nonlinear equations ⋮ On the Kung-Traub conjecture for iterative methods for solving quadratic equations ⋮ An improvement to double-step Newton method and its multi-step version for solving system of nonlinear equations and its applications ⋮ On some cubic convergence iterative formulae without derivatives for solving nonlinear equations ⋮ An extension of Gander's result for quadratic equations ⋮ Newton Methods with Hölder Derivative ⋮ Some higher order Newton-like methods for solving system of nonlinear equations and its applications ⋮ Unnamed Item

Cites Work

• Unnamed Item
• On the method of tangent hyperbolas in Banach spaces
• On a class of nonlinear integral equations arising in neutron transport
• Recurrence relations for the super-Halley method
• A note on the Halley method in Banach spaces
• A local convergence theorem for the super-Halley method in a Banach space
• Quadratic equations in Banach spaces
• A family of Chebyshev-Halley type methods in Banach spaces
• Resolution of quadratic equations in banach spaces
• A Unified Convergence Theory for a Class of Iterative Processes

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