TY - GEN A1 - Mense, C. A1 - Nabben, Reinhard T1 - On algebraic multilevel methods for non-symmetric systems - convergence results N2 - Here we analyze algebraic multilevel methods applied to non-symmetric M-matrices. We consider two types of multilevel approximate block factorizations. The first one is related to the AMLI method. The second method is the multiplicative counterpart of the AMLI approach which we call multiplicative algebraic multilevel method, the MAMLI method. The MAMLI method is closely related to certain geometric and algebraic multigrid methods like the AMGr method. Although these multilevel methods work very well in practice for many problems, there is not that much known about theoretical convergence properties for non-symmetric problems. Here, we establish convergence results and comparison results between AMLI and MAMLI multilevel methods applied to non-symmetric M-matrices. KW - Algebraic multilevel methods KW - multilevel approximate block factorizations KW - algebraic multigrid methods KW - AMLI method Y1 - 2008 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/488 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-4884 ER -