Cholesky Factorization of Band Matrices Using Multithreaded BLAS

机译：使用多线程BLAS对带矩阵进行Cholesky分解

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In this paper we present two routines for the Cholesky factorization of band matrices that target (parallel) SMP architectures and expose coarser-grain parallelism than their LAPACK counterpart. Experimental results on two different parallel platforms show the benefits of the new approaches.

机译：在本文中，我们提出了两个带状矩阵的Cholesky因式分解例程，这些例程针对（并行）SMP架构，并且比LAPACK对应项公开了更粗糙的并行性。在两个不同的并行平台上的实验结果表明了新方法的好处。

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《International Workshop on Applied Parallel Computing: State of the Art in Scientific Computing(PARA 2006); 20060618-21; Umea(SE)》|2006年|P.608-616|共9页
会议地点 Umea(SE)
作者
Alfredo Remon; Enrique S. Quintana-Orti; Gregorio Quintana-Orti;
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作者单位

Depto. De Ingenieria y Ciencia de Computadores, Universidad Jaume I, ES-12.071-Castellon, Spain;

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会议组织
原文格式 PDF
正文语种 eng
中图分类分布式操作系统、并行式操作系统;
关键词
band matrices; cholesky factorization; LAPACK; multithreaded BLAS; symmetric multiprocessor (SMP);

机译：带矩阵;胆斯基分解; LAPACK;多线程BLAS;对称多处理器（SMP）;

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1. A Multithreaded Algorithm for Sparse Cholesky Factorization on Hybrid Multicore Architectures [J] . Meng Tang, Mohamed Gadou, Sanjay Ranka Procedia Computer Science . 2017,第1期

机译：混合多核体系结构上稀疏的Cholesky分解的多线程算法
2. SHIFTED CHOLESKY QR FOR COMPUTING THE QR FACTORIZATION OF ILL-CONDITIONED MATRICES [J] . Fukaya Takeshi, Kannan Ramaseshan, Nakatsukasa Yuji, SIAM Journal on Scientific Computing . 2020,第1期

机译：转移Cholesky QR计算不良矩阵的QR分解
3. Full rank Cholesky factorization for rank deficient matrices [J] . Canto Rafael, Pelaez Maria J., Urbano Ana M. Applied mathematics letters . 2015,第Null期

机译：秩不足矩阵的全秩Cholesky因式分解
4. Cholesky Factorization of Band Matrices Using Multithreaded BLAS [C] . Alfredo Remon, Enrique S. Quintana-Orti, Gregorio Quintana-Orti International Workshop on Applied Parallel Computing . 2007

机译：使用多线程Blas的频带矩阵的Cholesky分解
5. Matrix factorizations, triadic matrices, and modified Cholesky factorizations for optimization [D] . Fang, Haw-ren 2006

机译：矩阵分解，三元矩阵和改进的Cholesky分解以进行优化
6. Computationally efficient banding of large covariance matrices for ordered data and connections to banding the inverse Cholesky factor [O] . Y. Wang, M. J. Daniels -1

机译：计算有序数据的大协方差矩阵的有效计算分带以及与反向Cholesky因子分带的连接
7. A Guide For Achieving High Performance With Very Small Matrices On GPU:A case Study of Batched LU and Cholesky Factorizations [O] . Haidar, Azzam, Abdelfattah, Ahmad, Zounon, Mawussi, 2017

机译：在GpU上使用超小矩阵实现高性能的指南：分批LU和Cholesky分解的案例研究
8. LAPACK Working Note No. 12: Banded Cholesky Factorization Using Level 3 BLAS. [R] . Mayes, P., Radicati, G. 1989

机译：LapaCK工作注释第12号：使用3级BLas进行带状Cholesky分解。

Cholesky Factorization of Band Matrices Using Multithreaded BLAS

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