Inexact-Newton methods for semismooth systems of equations with block-angular structure
Systems of equations with block-angular structure have applications in evolution problems coming from physics, engineering and economy. Often these systems are time-stage formulations of mathematical models that consist of mathematical programming problems, complementarity, or other equilibrium problems, giving rise to nonlinear and nonsmooth equations. The final versions of these dynamic models are nonsmooth systems with block-angular structure. If the number of state variables and equations is large, it is sensible to adopt an inexact-Newton strategy for solving this type of systems. In this paper the authors defined two inexact-Newton algorithms for semismooth block-angular systems and prove local and superlinear convergence.
scientific article; zbMATH DE number 1334664
scientific article