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Multilevel incomplete factorizations
Mudroňová, Veronika ; Tůma, Miroslav (advisor) ; Strakoš, Zdeněk (referee)
In this work we present incomplete matrix decomposition algorithms including their multi-level extensions. First, we have mentioned classical standard strategies that are used for the solution of linear systems. Second, we present incomplete methods based on the hierarchical approach known as multilevel matrix decom- positions. Just this latter type of approaches is considered for numerical expe- riments. Namely, two major hierarchical algorithms, the greedy search with the strongest coupling and the greedy search with the smallest degree, are compared, using the Fortran programming language. The results presented in the Matlab figures are commented and discussed. 1

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