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Teaching

courses NMNM331: Analysis of Matrix Calculations 1, 2/2, winter Fundamentals of numerical linear algebra, methods for solving linear algebraic equations, eigenvalue problems, and least squares problems. Krylov subspace methods, matrix functions, special matrices. NMNV543: Approximation of functions 1, 2/2, winter  visit course homepage  Approximation problems, best approximation. Polynomial approximation using Chebfun, interpolation, minimax, the exchange algorithm, least squares approximation, convergence. NMNV503: Numerical Optimization Methods 1, 3/1, winter Part 1 (Vaclav Kucera): Solution of nonlinear equations and their system, Newton's method and it modifications. Part 2 (Petr Tichy): The minimization of functionals, line-search and trust-region methods. NMNV544: Numerical Optimization Methods 2, 2/2, summer Theory of constrained optimization and fundamentals of algorithms for nonlinear optimization. Numerical optimization methods for solving problems of linear, quadratic, and sequential quadratic programming. supervisor - master theses The Lanczos method in finite precision arithmetic, MFF UK, 2019. Optimization using derivative-free and metaheuristic methods, MFF UK, 2016. Chovani metody sdruzenych gradientu v konecne aritmetice, FAV ZCU, 2012. Odhady normy chyby v metode sdruzenych gradientu, FAV ZCU, 2012. supervisor - bachelor theses Výpočet kořenů polynomů pomocí přidružených matic, MFF UK, 2023. Computations of Google's PageRank, MFF UK, 2022. Vyber delky kroku v metodach spadovych smeru, MFF UK, 2018. Volba kroku v metodach s lokalne omezenym krokem, MFF UK, 2017. Pole hodnot matice: Teorie a vypocet, MFF UK, 2016. Numericke pocitani s funkcemi pomoci Chebfun, MFF UK, 2015.