Recurrence Relations for Chebyshev-Type Methods

Journal Article · Wed Mar 15 00:00:00 EST 2000 · Applied Mathematics and Optimization

DOI:https://doi.org/10.1007/S002459911012· OSTI ID:21067529

Ezquerro, J A; es, mahernan@dmc unirioja

The convergence of new second-order iterative methods are analyzed in Banach spaces by introducing a system of recurrence relations. A system of a priori error bounds for that method is also provided. The methods are defined by using a constant bilinear operator A , instead of the second Frechet derivative appearing in the defining formula of the Chebyshev method. Numerical evidence that the methods introduced here accelerate the classical Newton iteration for a suitable A is provided.

• OSTI ID: 21067529
• Journal Information: Applied Mathematics and Optimization, Vol. 41, Issue 2; Other Information: DOI: 10.1007/s002459911012; Copyright (c) 2000 Springer-Verlag New York Inc.; Article Copyright (c) Inc. 2000 Springer-Verlag New York; Country of input: International Atomic Energy Agency (IAEA); ISSN 0095-4616
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BANACH SPACE
CONVERGENCE
ERRORS
ITERATIVE METHODS
RECURSION RELATIONS