Using desktop computers to solve large-scale dense linear algebra problems

We provide experimental evidence that current desktop computers feature enough computational power to solve large-scale dense linear algebra problems. While the high computational cost of the numerical methods for solving these problems can be tackled by the multiple cores of current processors, we...

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Bibliographic Details
Published in:Journal of supercomputing 2011-11, Vol.58 (2), p.145-150
Main Authors: MARQUES, M, QUINTANA-ORTI, G, QUINTANA-ORTI, E. S, VAN DE GEIJN, R
Format: Article
Language:English
Subjects:
Algebra
Applied sciences
Compilers
Computer Science
Computer science
control theory
systems
Computer systems and distributed systems. User interface
Exact sciences and technology
Interpreters
Linear and multilinear algebra, matrix theory
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical approximation
Processor Architectures
Programming Languages
Sciences and techniques of general use
Software
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Summary:We provide experimental evidence that current desktop computers feature enough computational power to solve large-scale dense linear algebra problems. While the high computational cost of the numerical methods for solving these problems can be tackled by the multiple cores of current processors, we propose to use the disk to store the large data structures associated with these applications. Our results also show that the limited amount of RAM and the comparatively slow disk of the system pose no problem for the solution of very large dense linear systems and linear least-squares problems. Thus, current desktop computers are revealed as an appealing, cost-effective platform for research groups that have to deal with large dense linear algebra problems but have no direct access to large computing facilities.
ISSN:0920-8542
1573-0484
DOI:10.1007/s11227-010-0394-2