Local Convergence of Exquerro-Hernandez Method

Abstract

Local convergence of Ezquerro-Hernandez iteration is investigated in the setting of finite dimensional spaces. A procedure to estimate the local convergence radius for this iteration is proposed. Numerical experiments show that our procedure gives estimates which are very close to the maximum convergence radii.

Keywords

• nonlinear equation
• iterative method
• local convergence
• ezquerro-hernandez iteration
• local convergence radius