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Training

Iterative Solvers for Linear Systems

16 sep. 2026 - 17 sep. 2026

The focus of this on-site course is on modern iterative solvers for large linear systems of equations. Thereby, beside classical schemes and fundamentals of multigrid techniques different modern Krylov subspace methods as well as highly efficient preconditioning techniques are presented in the context of real life applications

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Praktische info:

16 sep. 2026 - 17 sep. 2026
16 uur
Leibniz Rechenzentrum - Boltzmannstraße 1, 85748 Garching, Germany
Engels
Doelgroep: Researchers, engineers, and HPC users

Inschrijven?

  • Voorwaarden: Basics of linear algebra & basic knowledge of MATLAB or GNU Octave
  • Prijs: The price ranges from €0 to €505
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Beside classical schemes and fundamentals of multigrid techniques different modern Krylov subspace methods (CG, GMRES, BiCGSTAB ...) as well as highly efficient preconditioning techniques are presented in the context of real life applications. Hands-on sessions (MATLAB and GNU Octave respectively) will allow users to immediately test and understand the basic constructs of iterative solvers. 

Learning outcomes

Topics covered include:

  • Consistency and Convergence
  • Jacobi Method
  • Gauß-Seidel Method
  • Relaxation Schemes
  • Method of Steepest Descent
  • Method of Conjugate Gradients
  • Introduction to Multigrid Methods
  • GMRES and BICG
  • Variants of BICG
  • Preconditioning

Hands-On Sessions

Participants are expected to use their own laptops or institute clusters. There are no PCs installed in the LRZ course room.

A recent version of MATLAB or GNU OCTAVE (available for free) should be installed.

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