Benchmarks of Cuda-Based GMRES Solver for Toeplitz and Hankel Matrices and Applications to Topology Optimization of Photonic Components

Generalized Minimal Residual Method (GMRES) was benchmarked on many types of GPUs for solving linear systems based on dense and sparse matrices. However, there are still no GMRES implementation benchmarks on Tesla V100 compared to GTX 1080 Ti ones or even for Toeplitz-like matrices. The introduced s...

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Bibliographic Details
Published in:	Computational mathematics and modeling Vol. 32; no. 4; pp. 438 - 452
Main Authors:	Minin, Iu. B., Matveev, S. A., Fedorov, M. V., Zacharov, I. E., Rykovanov, S. G.
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.10.2021 Springer Nature B.V
Subjects:	Applications of Mathematics Benchmarks Computational Mathematics and Numerical Analysis Electric fields Green's functions Hankel matrices Helmholtz equations Integral equations Linear systems Mathematical analysis Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Optimization Photonics Solvers Sparse matrices Topology optimization Python module C++ performance GMRES Helmholtz equation Toeplitz-like matrix topology optimization parallelization GPU
ISSN:	1046-283X, 1573-837X
Online Access:	Get full text
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