Inexact Newton Methods for singular problems

Inexact Newton methods for inverse eigenvalue problems

In this paper, we survey some of the latest development in using inexact Newton-like methods for solving inverse eigenvalue problems. These methods require the solutions of nonsymmetric and large linear systems. One can solve the approximate Jacobian equation by iterative methods. However, iterative methods usually oversolve the problem in the sense that they require far more (inner) iterations...

An Inexact Newton-Type Method for Inverse Singular Value Problems

In this paper, an inexact Newton-type approach is proposed for solving inverse singular value problems. We show that the method converges superlinearly. This method can reduce significantly the oversolving problem of the Newton-type method and improve the efficiency. Numerical experiments is also presented to illustrate our results.

Inexact semismooth Newton methods for large-scale complementarity problems

The semismooth Newton method is a nonsmooth Newton-type method applied to a suitable reformulation of the complementarity problem as a nonlinear and nonsmooth system of equations. It is one of the standard methods for solving these kind of problems, and it can be implemented in an inexact way so that all linear systems of equations have to be solved only inexactly. However, from a practical poi...

Efficiently preconditioned inexact Newton methods for large symmetric eigenvalue problems

Efficiently preconditioned inexact Newton methods for large symmetric eigenvalue problems L. Bergamaschi & A. Martínez a Department of Civil, Environmental and Architectural Engineering, University of Padua, via Trieste 63, 35100 Padova, Italy b Department of Mathematics, University of Padua, via Trieste 63, 35100 Padova, Italy Accepted author version posted online: 14 Apr 2014.Published online...

Global inexact Newton methods for very large scale nonlinear problems