High-Performance Computing Center Stuttgart

Iterative Solvers for Linear Systems

LRZ building

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 (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. 

This course is co-organised by LRZ and HLRS.

Location

Leibniz Supercomputing Centre of the Bavarian Academy of Sciences and Humanities (LRZ)
Boltzmannstraße 1
D-85748 Garching near Munich, Germany

Start date

Sep 10, 2025
09:00

End date

Sep 11, 2025
17:00

Language

English

Entry level

Basic

Course subject areas

Domain-Specific Courses

Simulation

Topics

Numerical Methods

Numerical Simulation

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Prerequisites

Basics of linear algebra
Basic knowledge of MATLAB or GNU Octave

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.

Registration information

Register via the button at the top of this page.

Further information about this course, see the website at LRZ.

Due date for registration

Registration is open until Wednesday, 27 August 2025, 23:59.

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See the training overview and the Supercomputing Academy pages.

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High-Performance Computing Center Stuttgart Nobelstraße 19, 70569 Stuttgart, Germany

Contact & Location

+49 711 685-87269 info(at)hlrs.de

A member of the Gauss Centre for Supercomputing, HLRS is one of three German national centers for high-performance computing.

www.gauss-centre.eu

HLRS is a central unit of the University of Stuttgart.

www.uni-stuttgart.de/en/

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