文章基本信息

标题：QR Factorization for the Cell Broadband Engine
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作者：Jakub Kurzak ; Jack Dongarra
期刊名称：Scientific Programming
印刷版ISSN：1058-9244
出版年度：2009
卷号：17
DOI：10.3233/SPR-2009-0268
出版社：Hindawi Publishing Corporation
摘要：The QR factorization is one of the most important operations in dense linear algebra, offering a numerically stable method for solving linear systems of equations including overdetermined and underdetermined systems. Modern implementations of the QR factorization, such as the one in the LAPACK library, suffer from performance limitations due to the use of matrix–vector type operations in the phase of panel factorization. These limitations can be remedied by using the idea of updating of QR factorization, rendering an algorithm, which is much more scalable and much more suitable for implementation on a multi-core processor. It is demonstrated how the potential of the cell broadband engine can be utilized to the fullest by employing the new algorithmic approach and successfully exploiting the capabilities of the chip in terms of single instruction multiple data parallelism, instruction level parallelism and thread-level parallelism.