Accelerating Numerical Dense Linear Algebra Calculations with GPUs

DOI10.1007/978-3-319-06548-9_1zbMath1317.65078OpenAlexW36826159MaRDI QIDQ5261390

Piotr Luszczek, Mark Ralph Gates, Jakub Kurzak, A. Haidar, Ichitaro Yamazaki, Stanimire Z. Tomov, Jack J. Dongarra

Publication date: 3 July 2015

Published in: Numerical Computations with GPUs (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-06548-9_1

zbMATH Keywords

algorithmparallel computationCUDALAPACKstatic schedulingdense linear algebra calculations

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical solutions to overdetermined systems, pseudoinverses (65F20) Parallel numerical computation (65Y05) Direct numerical methods for linear systems and matrix inversion (65F05) Numerical algorithms for specific classes of architectures (65Y10)

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Algorithm 1019: A Task-based Multi-shift QR/QZ Algorithm with Aggressive Early Deflation ⋮ ELSI -- an open infrastructure for electronic structure solvers ⋮ GPU acceleration of all-electron electronic structure theory using localized numeric atom-centered basis functions ⋮ GPU-acceleration of the ELPA2 distributed eigensolver for dense symmetric and Hermitian eigenproblems ⋮ Simulating Low Precision Floating-Point Arithmetic ⋮ Generating Extreme-Scale Matrices With Specified Singular Values or Condition Number ⋮ Exploiting Lower Precision Arithmetic in Solving Symmetric Positive Definite Linear Systems and Least Squares Problems

Uses Software

• LAPACK
• Magma
• CUDA