A Class of Sparse Direct Broyden Method for Solving Sparse Nonlinear Equations

In our paper, we present a sparse quasi-Newton method, called the direct Broyden for solving nonlinear equations. The method can be seen as Broyden-like and is least change update satisfying sparsity condition tangent simultaneously. local q-superlinear convergence presented based on bounded deterioration property Dennis–Moré condition. By adopting nonmonotone line search, establish global superlinear convergence. Moreover, unit step length essentially accepted. Numerical results demonstrate that effective competitive large-scale