The Impact of Data Distribution in Accuracy and Performance of Parallel Linear Algebra Subroutines

DOI10.1007/978-3-642-19328-6_36zbMath1323.65131OpenAlexW1560475591MaRDI QIDQ3081378

Vincent Heuveline, Mariana Luderitz Kolberg, Björn Rocker

Publication date: 8 March 2011

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-19328-6_36

zbMATH Keywords

parallel computinghigh performance computingrounding errorsverified computing2-dimensional blockcyclic distribution

Mathematics Subject Classification ID

Parallel numerical computation (65Y05) Complexity and performance of numerical algorithms (65Y20) Algorithms with automatic result verification (65G20) Numerical linear algebra (65F99)

Uses Software

• C-XSC
• C-XSC 2.0
• LAPACK
• ScaLAPACK
• BLAS
• ITER-REF

Cites Work

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• Accelerating scientific computations with mixed precision algorithms
• ScaLAPACK: A portable linear algebra library for distributed memory computers -- design issues and performance
• Fast linear algebra is stable
• Error bounds from extra-precise iterative refinement
• An updated set of basic linear algebra subprograms (BLAS)
• Accurate floating-point summation
• Performance and accuracy of hardware-oriented native-, emulated- and mixed-precision solvers in FEM simulations

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