Numerical recovery strategies for parallel resilient Krylov linear solvers

DOI10.1002/nla.2059zbMath1424.65024OpenAlexW2399595040MaRDI QIDQ2955988

Emmanuel Agullo, Mawussi Zounon, Luc Giraud, Abdou Guermouche, Jean Roman

Publication date: 13 January 2017

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/hal-01323192/file/final_nlaa.pdf

zbMATH Keywords

fault tolerancenumerical resiliencyhard faultsnumerical linear system solutionnumerical remedies

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Parallel numerical computation (65Y05)

Related Items (8)

FT-GCR: a fault-tolerant generalized conjugate residual elliptic solver ⋮ Numerical recovery strategies for parallel resilient Krylov linear solvers ⋮ A minimally intrusive low-memory approach to resilience for existing transient solvers ⋮ Towards local-failure local-recovery in PDE frameworks: the case of linear solvers ⋮ Sensitivity of computational fluid dynamics simulations against soft errors ⋮ Interpolation-Restart Strategies for Resilient Eigensolvers ⋮ Resilience for Massively Parallel Multigrid Solvers ⋮ Hard Faults and Soft-Errors: Possible Numerical Remedies in Linear Algebra Solvers

Uses Software

• MUMPS
• SparseMatrix
• Online-ABFT
• ickp

Cites Work

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• Interpolation-Restart Strategies for Resilient Eigensolvers
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• The university of Florida sparse matrix collection
• Algorithm-Based Fault Tolerance for Matrix Operations
• Recovery Patterns for Iterative Methods in a Parallel Unstable Environment
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• On the Complexity of Sparse $QR$ and $LU$ Factorization of Finite-Element Matrices
• A linear algebraic model of algorithm-based fault tolerance
• Solution of Sparse Indefinite Systems of Linear Equations
• A Flexible Inner-Outer Preconditioned GMRES Algorithm
• Methods of conjugate gradients for solving linear systems

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