TY - GEN A1 - Mense, C. A1 - Nabben, Reinhard T1 - On algebraic multi-level methods for non-symmetric systems - comparison results N2 - We establish theoretical comparison results for algebraic multi-level methods applied to nonsingular non-symmetric M-matrices. We consider two types of multi-level approximate block factorizations or AMG methods, the AMLI and the MAMLI method. We compare the spectral radii of the iteration matrices of these methods. This comparison shows, that the spectral radius of the MAMLI method is less than or equal to the spectral radius of the AMLI method. Moreover, we establish how the quality of the approximations in the block factorization effects the spectral radii of the iteration matrices. We prove comparisons results for different approximation of the fine grid block as well as for the used Schur complement. We also establish a theoretical comparison between the AMG methods and the classical block Jacobi and block Gauss-Seidel methods. KW - Algebraic multi-level methods KW - multi-level approximate block factorizations KW - algebraic multigrid methods KW - AMLI method Y1 - 2008 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/486 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-4869 ER -