Mathematics

Spectral residual methods are derivative-free and low-cost per iteration procedures  for solving nonlinear systems of equations. They are generally coupled with a nonmonotone  linesearch strategy and compare well with Newton-based methods for large nonlinear systems and sequences of nonlinear systems. The residual vector is used as the search direction and choosing the steplength has a crucial impact on the performance. In this seminar we will address both theoretically and experimentally the steplength selection and provide results on a real application such as a rolling contact problem.