Solving dense generalized eigenproblems on multi-threaded architectures

DOI10.1016/j.amc.2012.05.020zbMath1278.65037arXiv1111.6374OpenAlexW2125872426MaRDI QIDQ387520

Enrique S. Quintana-Ortí, Davor Davidović, Paolo Bientinesi, Francisco D. Igual, José I. Aliaga, Edoardo Di Napoli

Publication date: 23 December 2013

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.6374

zbMATH Keywords

eigenvaluesgraphics processorsKrylov-subspace iterationmulti-core architecturestridiagonal form

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Parallel numerical computation (65Y05)

Related Items (3)

Exploring large macromolecular functional motions on clusters of multicore processors ⋮ The geometric mean algorithm ⋮ A fast band-Krylov eigensolver for macromolecular functional motion simulation on multicore architectures and graphics processors

Uses Software

• FLAME
• LAPACK
• Magma
• CUDA
• ARPACK
• libflame
• SBR Toolbox
• FLEUR
• iMod

Cites Work

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• Exploiting thread-level parallelism in the iterative solution of sparse linear systems
• Multiple representations to compute orthogonal eigenvectors of symmetric tridiagonal matrices
• Rounding error analysis of the classical Gram-Schmidt orthogonalization process
• Programming matrix algorithms-by-blocks for thread-level parallelism
• Algorithm 807
• High-Performance Solvers for Dense Hermitian Eigenproblems
• A Parallel Eigensolver for Dense Symmetric Matrices Based on Multiple Relatively Robust Representations

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