Resolution of quadratic equations in banach spaces

DOI10.1080/01630569608816686zbMath0849.47038OpenAlexW1517634895MaRDI QIDQ4886619

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

Publication date: 18 July 1996

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

Full work available at URL: https://doi.org/10.1080/01630569608816686

zbMATH Keywords

super-Halley methodquadratic equationsconvergence theorem

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (13)

Recurrence relations for a Newton-like method in Banach spaces ⋮ On the convergence of Newton's method for a class of nonsmooth operators ⋮ Third-order iterative methods for operators with bounded second derivative ⋮ On the convergence of inexact two-point Newton-like methods on Banach spaces ⋮ On the dynamics of the Euler iterative function ⋮ An acceleration of Newton's method: Super-Halley method ⋮ Chaotic dynamics of a third-order Newton-type method ⋮ On the secant method for solving nonsmooth equations ⋮ On the dynamics of a family of third-order iterative functions ⋮ A One-Sided Version of a Theorem of Kantorovich ⋮ On a nonsmooth version of Newton's method using locally Lipschitzian operators ⋮ Solving nonlinear integral equations arising in radiative transfer ⋮ A family of Halley-Chebyshev iterative schemes for non-Fréchet differentiable operators

Cites Work

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• Recurrence relations for rational cubic methods. II: The Chebyshev method
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• On the method of tangent hyperbolas in Banach spaces
• 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
• Results on the Chebyshev method in banach spaces
• Quadratic equations and applications to Chandrasekhar's and related equations
• A family of chebyshev-halley type methods
• A family of Chebyshev-Halley type methods in Banach spaces
• Accessibility Of Solutions By Newton's Method
• A Unified Convergence Theory for a Class of Iterative Processes

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