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	Library for Interactive Numerical Computation with Rational Numbers Špaček, Michal ; Kočí, Radek (referee) ; Janoušek, Vladimír (advisor) The main aim of this thesis is to design and implement library for interactive numerical computation with rational numbers. The library implements mainly numerical methods commonly used in practical engineering. This thesis describes principles of numerical methods suited for computation using rational numbers and design and implementation of the library in Python language. Detailed record
	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 Detailed record
	Library for Interactive Numerical Computation with Rational Numbers Špaček, Michal ; Kočí, Radek (referee) ; Janoušek, Vladimír (advisor) The main aim of this thesis is to design and implement library for interactive numerical computation with rational numbers. The library implements mainly numerical methods commonly used in practical engineering. This thesis describes principles of numerical methods suited for computation using rational numbers and design and implementation of the library in Python language. Detailed record

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