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Solving nonlinear systems of equations via spectral residual methods: stepsize selection and applications

Cristina Sgattoni
Institution: 
University of Florence
Schedule: 
Friday, May 22, 2020 - 14:00
Location: 
Online
Location: 
Zoom (sign in to get the link)
Abstract: 

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.

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