Title: Towards the solution of large-scale nonlinear SDP problems Abstract: Memory requirements and complexity of Hessian assembling are limiting factors when solving large-scale linear SDPs by second-order methods. The situation becomes dramatic when trying to solve nonlinear SDPs. We propose a first order method that is based on the Augmented Lagrangian algorithm whereas the linear systems are solved by the preconditioned conjugate gradient method. The new algorithm is implemented in the code PENNON. We will refer on computational experience for linear and nonlinear SDPs. This is a joint work with Michael Stingl, University of Erlangen.