Improving Performance of Sparse Numerical Linear Algebra Computations: Algorithmic optimization techniques for sparse direct and sparse iterative numerical solvers of large linear equations - Softcover

Luszczek, Piotr

Softcover

ISBN 10: 3838334698 ISBN 13: 9783838334691

Publisher: LAP Lambert Academic Publishing, 2010

Synopsis

With new processor families appearing every few years, it is increasingly harder to achieve high performance rates in sparse matrix computations. This monograph studies new methods for sparse matrix factorizations and applies them efficiently while retaining ease of use of existing solutions. The implementations are timed and analyzed using a commonly accepted set of test matrices. Contemporary processors are used for the tests. The new factorization techniques are proven to be quite competitive with state of the art software. In addition, an optimization effort is applied to an iterative algorithm that stands out for its numerical robustness. This also gives satisfactory results on the tested computing platforms in terms of performance improvement. The same set of test matrices is used to enable an easy comparison between both investigated techniques, even though they are customarily treated separately in the literature. Possible extensions of the presented work range from easily conceivable merging with existing solutions to rather more evolved schemes dependent on hard to predict progress in theoretical and algorithmic research.

Edition details

• Publisher: LAP Lambert Academic Publishing
• Publication date: 2010
• ISBN 10: 3838334698
• ISBN 13: 9783838334691
• Binding: Paperback
• Language: English
• Number of pages: 84