A New QR Factorization Method by Recursive Blocked Gram-Schmidt Algorithm and Recursive Blocked Cholesky Factorization

机译：递归阻塞克施密特算法和递归阻塞Cholesky系数的新QR分解方法

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摘要

We propose a new algorithm for efficiently computing the QR factorization of a given matrix A. Our method uses a recursive blocked Gram-Schmidt orthogonalization and a recursive blocked Cholesky factorization. Numerical experiments show that our method is better than the conventional methods.

机译：我们提出了一种新的算法，用于有效计算给定矩阵A的QR分解。我们的方法使用递归阻塞的克施密特正交和递归阻塞的Cholesky分解。数值实验表明，我们的方法优于传统方法。

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《International Conference on Numerical Analysis and Applied Mathematics》|2015年||共4页
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作者
Shinya Ozawa; Yohsuke Hosoda; Takemitsu Hasegawa;
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正文语种
中图分类计算技术、计算机技术;
关键词
Blocked algorithm; QR factorization; Gram-Schmidt method;

机译：阻塞算法;QR分解;Gram-Schmidt方法;

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专利

1. A block orthogonal projection algorithm using order recursive UD factorization [J] . Toshihiro Furukawa, Sadanobu Yoshimoto, Hajime Kubota Electronics and communications in Japan. Part 3 . 2000,第5期

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2. TWO-LEVEL PRECONDITIONING TECHNIQUE BASED ON SPARSE RECURSIVE CHOLESKY FACTORIZATION FOR FAST MONOSTATIC RCS COMPUTATION [J] . Ke-Di Zhang, Jin-Ping Xu, Wen-Bo Wang Microwave and optical technology letters . 2012,第6期

机译：基于稀疏递归胆函数分解的两级预处理技术，用于快速单稳态RCS计算
3. A recursive block incomplete factorization preconditioner for adaptive filtering problem [J] . Chutiphon Pukdeboon Applied mathematical sciences . 2013,第61a64期

机译：自适应滤波问题的递归块不完全分解预处理器
4. A New QR Factorization Method by Recursive Blocked Gram-Schmidt Algorithm and Recursive Blocked Cholesky Factorization [C] . Shinya Ozawa, Yohsuke Hosoda, Takemitsu Hasegawa International Conference on Numerical Analysis and Applied Mathematics . 2015

机译：递归阻塞克施密特算法和递归阻塞Cholesky系数的新QR分解方法
5. Matrix factorization using a block-recursive structure and block-recursive algorithms. [D] . Frens, Jeremy David. 2002

机译：使用块递归结构和块递归算法进行矩阵分解。
6. A Personalized QoS Prediction Method for Web Services via Blockchain-Based Matrix Factorization [O] . Weihong Cai, Xin Du, Jianlong Xu 2019

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7. New Serial and Parallel Recursive QR Factorization Algorithms for SMP Systems [O] . 2009

机译：smp系统的新型串行和并行递归QR分解算法
8. Block QR factorization algorithm for rank-deficient matrices. [R] . Bischof, C. H. 1989

机译：用于秩缺陷矩阵的块QR分解算法。

A New QR Factorization Method by Recursive Blocked Gram-Schmidt Algorithm and Recursive Blocked Cholesky Factorization

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