TY - GEN A1 - Baur, Ulrike T1 - Low Rank Solution of Data-Sparse Sylvester Equations N2 - In this paper a method for solving large-scale Sylvester equations is presented. The method is based on the sign function iteration and is particularly effective for Sylvester equations with factorized right-hand side. In this case, the solution will be computed in factored form as it is for instance required in model reduction. The hierarchical matrix format and the corresponding formatted arithmetic is integrated in the iteration scheme to make the method feasible for large-scale computations. KW - Hierarchical matrices KW - Sylvester equation KW - matrix sign function Y1 - 2005 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/269 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-2695 ER -