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Development of Innovative Library for Singular Value Decomposition Suited to Multi-Core Processors

Development of Innovative Library for Singular Value Decomposition Suited to Multi-Core Processors
适合多核处理器的奇异值分解创新库的开发
批准号:
20246027
负责人:
NAKAMURA Yoshimasa
金额:
$17.72万
依托单位:
依托单位国家:
日本
项目类别:
Grant-in-Aid for Scientific Research (A)
财政年份:
2008
资助国家:
日本
项目状态:
已结题
起止时间:
2008 至 2011

项目摘要

项目成果

NAKAMURA Yoshimasa的其他基金

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中文摘要
翻译
本项目在多核CPU环境下的并行计算方面取得了以下成果。1)提出了一种基于广义牛顿移位的移位策略,用于mdLV计算双对角奇异值。2)本文利用Householder变换和紧WY表示,建立了奇异向量重正交化的加速方法。3)对给定稠密矩阵到双对角矩阵的预处理过程进行了加速。4)讨论了GPGPU双精度计算中奇异值分解算法I-SVD和D & C的性能和精度评价。5)设计了一类带矩阵特征值和奇异值的新的可积算法。根据1)-4)的快速I-SVD算法的结果代码DBDSLV可以在网页上下载,并且已经在国际研讨会和年会上进行了许多演示,并且已经发表了许多研究论文。
英文摘要
This project obtains the following fruits in parallel computations with multi-core CPU environments. 1) A shift strategy based on the generalized Newton shift is completed for computing bidiagonal singular values by the mdLVs. 2) A speed up is established in reorthogonalization of singular vectors by using the Householder transformation with the compact WY representation. 3) A speed up of preconditioning process from given dense matrix to bidiagonal is performed. 4) Evaluation both of performance and accuracy of some singular value decomposition algorithms including I-SVD and D & C in double precision computation in GPGPU are discussed. 5) New integrable algorithms for computing eigenvalues and singular values of some class of band matrices are designed. The resulting code DBDSLV of the fast I-SVD algorithm in terms of 1)-4) can be downloaded in the web page as well as many presentations have been given in international workshops and annual meetings and many research papers have been published.
期刊论文(57)
专著(0)
科研奖励(0)
会议论文
DOI: --
发表时间: 2009
期刊: Proceedings of The 2009 International Conference on Parallel and Distributed Processing Techniques and Applications(PDPTA2009)
影响因子: --
作者: [Hiroki Toyokawa, Kinji Kimura, Masami Takata and Yoshimasa Nakamura]
通讯作者: Masami Takata and Yoshimasa Nakamura
DOI: --
发表时间: 2012
期刊: J. Math-for-Industry
影响因子: --
作者: [Takumi Yamashita, Kinji Kimura, and Yoshimasa Nakamura]
通讯作者: and Yoshimasa Nakamura
DOI: --
发表时间: 2011
期刊: Proceedings of The 2011 International Conference on Parallel and Distributed Processing Techniques and Applications(PDPTA2011)
影响因子: --
作者: [Hiroyuki Ishigami, Kinji Kimura and Yoshimasa Nakamura]
通讯作者: Kinji Kimura and Yoshimasa Nakamura
DOI: --
发表时间: 2011
期刊: J. Phys. A : Math. Theor
影响因子: --
作者: [Kinji Kimura, Takumi Yamashita and Yoshimasa Nakamura]
通讯作者: Takumi Yamashita and Yoshimasa Nakamura
45
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