The parallel tiled WZ factorization algorithm for multicore architectures

DOI10.2478/amcs-2019-0030zbMath1498.65232OpenAlexW2962431673WikidataQ127547120 ScholiaQ127547120MaRDI QIDQ2299101

Jarosław Bylina, Beata Bylina

Publication date: 20 February 2020

Published in: International Journal of Applied Mathematics and Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/amcs-2019-0030

zbMATH Keywords

high-performance computingmulticore architecturesWZ factorizationAmdahl's lawsolution of linear systemstiled algorithm

Mathematics Subject Classification ID

Parallel numerical computation (65Y05) Direct numerical methods for linear systems and matrix inversion (65F05) Numerical algorithms for specific classes of architectures (65Y10)

Related Items (3)

Partitioning and Reordering for Spike-Based Distributed-Memory Parallel Gauss--Seidel ⋮ Unnamed Item ⋮ The parallel tiled WZ factorization algorithm for multicore architectures

Uses Software

• LAPACK
• BLAS
• MKL
• MAGMA
• PLASMA

Cites Work

• The WZ matrix factorisation method
• Parallel quadrant interlocking factorization on hypercube computers
• Existence and uniqueness of WZ factorization
• The block WZ factorization
• The parallel tiled WZ factorization algorithm for multicore architectures
• Influence of Preconditioning and Blocking on Accuracy in Solving Markovian Models
• LAPACK Users' Guide
• A parallel linear system solver
• A set of level 3 basic linear algebra subprograms
• Some Computer Organizations and Their Effectiveness

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