Parallel subspace method for non-Hermitian eigenproblems on the Connection Machine (CM2)

DOI10.1016/0168-9274(92)90053-GzbMath0760.65042OpenAlexW2047932765MaRDI QIDQ1188308

Serge G. Petiton

Publication date: 13 August 1992

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(92)90053-g

zbMATH Keywords

eigenvalueseigenvectorsparallel implementationvery large matricesperformancesConnection MachineArnoldi's subspace methodmassively-parallel machinesnon-Hermitian eigenproblems

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Parallel numerical computation (65Y05) Numerical algorithms for specific classes of architectures (65Y10)

Related Items (3)

The Padé-Rayleigh-Ritz method for solving large Hermitian eigenproblems ⋮ A hybrid GMRES/LS-Arnoldi method to accelerate the parallel solution of linear systems ⋮ A case against a divide and conquer approach to the nonsymmetric eigenvalue problem

Cites Work

• A parallel implementation of the QR-algorithm
• Variations on Arnoldi's method for computing eigenelements of large unsymmetric matrices
• Computing the singular value decomposition on the Connection Machine
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