Shanks and Anderson-type acceleration techniques for systems of nonlinear equations

Abstract This paper examines a number of extrapolation and acceleration methods introduces few modifications the standard Shanks transformation that deal with general sequences. One goals is to lay out framework encompasses most known strategies. The also considers Anderson Acceleration (AA) method under new light exploits connection quasi-Newton in order establish local linear convergence results stabilized version AA method. are tested on problems, including arise from nonlinear partial differential equations.