Petr Tichý
Department of Numerical Mathematics
Sokolovska 83, 18675 Praha 8, Czech Republic

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
  1. Metoda sdružených gradientů pro diferenciální operátory, MFF UK, 2025.
  2. The Lanczos method in finite precision arithmetic, MFF UK, 2019.
  3. Optimization using derivative-free and metaheuristic methods, MFF UK, 2016.
  4. Chovani metody sdruzenych gradientu v konecne aritmetice, FAV ZCU, 2012.
  5. Odhady normy chyby v metode sdruzenych gradientu, FAV ZCU, 2012.
supervisor - bachelor theses
  1. Remezův algoritmus, MFF UK, 2025.
  2. Metoda Vandermonde with Arnoldi, MFF UK, 2025.
  3. Gaussova a Clenshaw-Curtisova kvadratura, MFF UK, 2025.
  4. Numerický výpočet derivací, MFF UK, 2024.
  5. Numerické srovnání algoritmů CGLS a LSQR, MFF UK, 2024.
  6. Výpočet kořenů polynomů pomocí přidružených matic, MFF UK, 2023.
  7. Computations of Google's PageRank, MFF UK, 2022.
  8. Vyber delky kroku v metodach spadovych smeru, MFF UK, 2018.
  9. Volba kroku v metodach s lokalne omezenym krokem, MFF UK, 2017.
  10. Pole hodnot matice: Teorie a vypocet, MFF UK, 2016.
  11. Numericke pocitani s funkcemi pomoci Chebfun, MFF UK, 2015.
@ Petr Tichý, last update 16.05.2025 , thanks