𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A generalized Petviashvili iteration method for scalar and vector Hamiltonian equations with arbitrary form of nonlinearity

✍ Scribed by T.I. Lakoba; J. Yang

Book ID
108164128
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
717 KB
Volume
226
Category
Article
ISSN
0021-9991

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Stability of Ishikawa iteration methods
Stability of Ishikawa iteration methods with errors for strong pseudocontractions and nonlinear equations involving accretive operators in arbitrary Real Banach spaces
✍ Zeqing Liu; Shin Min Kang πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 476 KB

Let X be an arbitrary real Banach space and T : X -\* X be a Lipschitz strongly pseudocontraction. It is proved that certain Ishikawa iteration procedures with errors are both convergent and T-stable. A few related results deal with the convergence and stability of the iteration procedures for the i

A new family of exponential iteration me
A new family of exponential iteration methods with quadratic convergence of both diameters and points for enclosing zeros of nonlinear equations
✍ Jinhai Chen πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 209 KB

This paper presents a new class of exponential iteration methods with global convergence for finding a simple root x \* of a nonlinear equation f (x) = 0 in the interval [a, b]. The new methods are shown to be quadratically convergent. Both the sequences of diameters {b na n } and the iterative sequ