Truncated nonsmooth Newton multigrid methods for block-separable minimization problems
Truncated nonsmooth Newton multigrid methods for block-separable minimization problems is a scholarly work, published in 2018 in ''IMA Journal of Numerical Analysis''. The main subjects of the publication include nonlinear system, convexity, multigrid method, block, range, separable space, regular polygon, local convergence, Newton's method, convex optimization, partial differential equation, mathematical optimization, numerical linear algebra, minification, computer science, convergence, compressed sensing, applied mathematics, and mathematics. The paper proves global convergence of the method under weak conditions both on the objective functional, and on the local inexact subproblem solvers that are part of the method.