Search results for "Kantarovich conditions"

showing 1 items of 1 documents

A class of quasi-Newton generalized Steffensen methods on Banach spaces

2002

AbstractWe consider a class of generalized Steffensen iterations procedure for solving nonlinear equations on Banach spaces without any derivative. We establish the convergence under the Kantarovich–Ostrowski's conditions. The majorizing sequence will be a Newton's type sequence, thus the convergence can have better properties. Finally, a numerical comparation with the classical methods is presented.

SequenceClass (set theory)Applied MathematicsMathematical analysisBanach spaceKantarovich conditionsType (model theory)Nonlinear equationsGeneralized Steffensen methodsSteffensen's methodNonlinear systemComputational MathematicsConvergence (routing)Applied mathematicsQuasi-Newton methodMathematicsJournal of Computational and Applied Mathematics
researchProduct