Convexity in Newton's Method / / by José Antonio Ezquerro Fernández, Miguel Ángel Hernández Verón

• Autore: Ezquerro Fernández José Antonio
• Pubblicazione: Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2025
• Edizione: 1st ed. 2025.
• Descrizione fisica: 1 online resource (XII, 242 p. 48 illus., 35 illus. in color.)
• Disciplina: 515.7
• Soggetto topico: Functional analysis; Operator theory; Functional Analysis; Operator Theory
• Persona (resp. second.): Hernández VerónMiguel Ángel
• Nota di contenuto: The degree of logarithmic convexity -- The Newton method and convexity -- Accelerations of the Newton method -- Newton-like methods with high order of convergence -- Optimization of the Chebyshev method.
• Sommario/riassunto: This monograph examines a variety of iterative methods in Banach spaces with a focus on those obtained from the Newton method. Together with the authors’ previous two volumes on the topic of the Newton method in Banach spaces, this third volume significantly extends Kantorovich's initial theory. It accomplishes this by emphasizing the influence of the convexity of the function involved, showing how improved iterative methods can be obtained that build upon those introduced in the previous two volumes. Each chapter presents theoretical results and illustrates them with applications to nonlinear equations, including scalar equations, integral equations, boundary value problems, and more. Convexity in Newton's Method will appeal to researchers interested in the theory of the Newton method as well as other iterative methods in Banach spaces.
• Titolo autorizzato: Convexity in Newton's Method
• ISBN: 3-031-85754-2
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9911002544803321
• Lo trovi qui: Univ. Federico II
• Serie: Frontiers in Mathematics, . 1660-8054