On the iterative analysis of the dirichlet-neumann map for linear elliptic PDEsOn the iterative analysis of the dirichlet-neumann map for linear elliptic PDEs Αφίσα σε Συνέδριο Conference Poster 2015-10-162007enTaking advantage of the structural properties of the Col- location coefficient matrix associated with the Dirichlet-Neumann map for linear elliptic PDEs, we present a complete spectral analysis for the Laplace’s equation on a square domain with the same type of bound- ary conditions on all sides. Through this analysis we are able to recover optimal classical SOR and Krylov iterative methods.http://creativecommons.org/licenses/by/4.0/129-132Conference on numerical analysis Saridakis Ioannis Σαριδακης Ιωαννης Sifalakis Anastasios Σηφαλακης Αναστασιος Papadopoulou Eleni Παπαδοπουλου Ελενη S. R. Fulton