Iterative Solvers for Linear Systems

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

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Location

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

Start date

Sep 16, 2026
09:00

End date

Sep 17, 2026
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

Instructor

Prof. Dr. Andreas Meister from the University of Kassel

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

Apply for this course via the button at the top of this page.

Please note that by clicking the “Apply” button, you will be redirected to Edoobox at LRZ, an external website that is outside the HLRS area of responsibility.

Due date for registration

Registration is open until Wednesday, 2 September 2026, 23:59.

Contact

education(at)lrz.de

Official course URL(s)

For further information about this course, visit the website at LRZ.

Further courses and training team

See the training overview and the Supercomputing Academy pages.
See also information about the HLRS training department and staff.

HLRS Training Collaborations in HPC and AI

HLRS is part of the Gauss Centre for Supercomputing (GCS), together with JSC in Jülich and LRZ in Garching near Munich. SIDE is the German National Competence Centre (NCC) for High-Performance Computing. HLRS is also a member of the Baden-Württemberg initiative bwHPC.
Since 2025, HLRS has been coordinating one of the AI Factories of the EuroHPC JU: HammerHAI.