Parallel and sequential Kaczmarz methods for solving underdetermined nonlinear equations

摘要

We analyze the convergence of iterative process in Rn, of the type xk + 1 =Φ(xk, wk). Using this theory we prove the local convergence of a sequential Kaczmarz type method and a parallel Kaczmarz type method for solving underdetermined systems of nonlinear equations. Some numerical experiences are presented.