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Große dünn besetzte lineare Gleichungssysteme sind zentral für viele komplexe und rechenintensive Probleme in verschiedenen wissenschaftlichen Bereichen. Hochleistungsrechnen (High Performance Computing, HPC) und hochgradig parallelisierbare iterative Verfahren sind wichtige Werkzeuge, um diese Systeme effizient zu lösen.
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High-Performance GMRES Multi-Precision Benchmark.

Proposed for presentation at the Performance Modeling, Benchmarking and Simulation of High Performance Computer Systems in ,, 2022
Ichitaro Yamazaki +5 more
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Verfahren der konjugierten Gradienten und GMRES-Verfahren

2000
Ziel der nachfolgenden Betrachtungen ist erneut die approximative Losung eines regularen linearen Gleichungssystems $$Ax = b\quad (A \in {\mathbb{R}^{N \times N}}\;regul\ddot ar,\quad b \in {\mathbb{R}^N})$$ (mit der eindeutigen Losung x * = A −1 b ∈ℝ N ), und hierzu seien $$\{ 0\} \subset {D_1} \subset {D_2} \subset ...
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Kaczmarz-Type Inner-Iteration Preconditioned Flexible GMRES Methods for Consistent Linear Systems

SIAM Journal of Scientific Computing, 2021
Yishu Du, Ken Hayami
exaly

The superlinear convergence behaviour of GMRES

Journal of Computational and Applied Mathematics, 1993
Cornelis Vuik
exaly

A Restarted GMRES Method Augmented with Eigenvectors

SIAM Journal on Matrix Analysis and Applications, 1995
Ronald B Morgan
exaly

A Jacobian-Free Newton-GMRES(m) Method with Adaptive Preconditioner and Its Application for Power Flow Calculations

IEEE Transactions on Power Systems, 2006
Ying Chen, Chen Shen
exaly

The Tortoise and the Hare Restart GMRES

SIAM Review, 2003
Mark Embree
exaly

Comparing GMRES and P-GMRES in domain decomposition with approximate subdomain solution

2000
Electrical Engineering, Mathematics and Computer ...
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