The optimal ball algorithm for nonlinear equations of quasi-strongly monotone operators

Abstract

A new ball algorithm for bounding a zero point of a nonlinear quasi-strongly monotone operator in Hilbert spaces is presented. It is shown that the algorithm converges much more rapidly than the existing ball algorithms for the given problems. Numerical comparisons are made to support the conclusion.

Keywords:

• Ball algorithm
• region contraction algorithm
• geometric estimator
• nonlinear quasi-strongly monotone operator
• gib Lipschitz constant

C.R. Categories:

• G.1.5