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

Teaching

courses
  • NMNM331: Analysis of Matrix Computations, 2/2, winter, [lecture notes]
    Total least squares problem, Conjugate gradient method, Krylov subspace methods, Matrix functions, Fast Fourier transform, Finite precision computatuions.
  • NMNV503: Numerical Optimization Methods, 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.
  • NMNM337: Approximation of functions, 2/2, summer, [course homepage]
    Approximation problems, best approximation. Polynomial approximation using Chebfun, interpolation, minimax, the exchange algorithm, least squares approximation, convergence.
  • NMNV545: Constrained optimization, 2/0, summer
    Theory of constrained optimization. Linear and semidefinite programming. Fundamentals of algorithms for nonlinear optimization: Penalty and barrier methods, Augmented Lagrangian method, Primal-dual methods.
doctoral theses
  1. On finite precision block Lanczos computations.
master theses
  1. Algorithmic variants of the Vandermonde with Arnoldi method.
  2. The block conjugate gradient method, 2026.
  3. Metoda sdružených gradientů pro diferenciální operátory, 2025.
  4. The Lanczos method in finite precision arithmetic, 2019.
  5. Optimization using derivative-free and metaheuristic methods, 2016.
  6. Chovani metody sdruzenych gradientu v konecne aritmetice, 2012.
  7. Odhady normy chyby v metode sdruzenych gradientu, 2012.
bachelor theses
  1. The AAA Algorithm for rational approximation, 2026.
  2. Block CG and Lanczos algorithms, 2026.
  3. Remezův algoritmus, 2025.
  4. Metoda Vandermonde with Arnoldi, 2025.
  5. Gaussova a Clenshaw-Curtisova kvadratura, 2025.
  6. Numerický výpočet derivací, 2024.
  7. Numerické srovnání algoritmů CGLS a LSQR, 2024.
  8. Výpočet kořenů polynomů pomocí přidružených matic, 2023.
  9. Computations of Google's PageRank, 2022.
  10. Vyber delky kroku v metodach spadovych smeru, 2018.
  11. Volba kroku v metodach s lokalne omezenym krokem, 2017.
  12. Pole hodnot matice: Teorie a vypocet, 2016.
  13. Numericke pocitani s funkcemi pomoci Chebfun, 2015.
@ Petr Tichý, last update 22.04.2026 , thanks