A class of incomplete orthogonal factorization methods. I: Methods and theories
文献类型：期刊论文
| 作者 | Bai, ZZ; Duff, IS; Wathen, AJ |
| 刊名 | BIT
 |
| 出版日期 | 2001 |
| 卷号 | 41期号:1页码:53-70 |
| 关键词 | preconditioning linear systems sparse least squares modified Gram-Schmidt orthogonalization Givens rotations incomplete orthogonal factorizations |
| ISSN号 | 0006-3835 |
| 英文摘要 | We present a class of incomplete orthogonal factorization methods based on Givens rotations for large sparse unsymmetric matrices. These methods include: Incomplete Givens Orthogonalization (IGO-method) and its generalisation (GIGO-method), which drop entries from the incomplete orthogonal and upper triangular factors by position; Threshold Incomplete Givens Orthogonalization (TIGO(tau)-method), which drops entries dynamically by their magnitudes; and its generalisation (GTIGO(tau; p)-method), which drops entries dynamically by both their magnitudes and positions. Theoretical analyses show that these methods can produce a nonsingular sparse incomplete upper triangular factor and either a complete orthogonal factor or a sparse nonsingular incomplete orthogonal factor for a general nonsingular matrix. Therefore, these methods can potentially generate efficient preconditioners for Krylov subspace methods for solving large sparse systems of linear equations. Moreover, the upper triangular factor is an incomplete Cholesky factorization preconditioner for the normal equations matrix from least-squares problems. |
| WOS研究方向 | Computer Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000167334800003 |
| 出版者 | SWETS ZEITLINGER PUBLISHERS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15877]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.Chinese Acad Sci, State Key Lab Sci Engn Comp, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 2.Rutherford Appleton Lab, Atlas Ctr, Chilton OX11 0QD, Oxon, England 3.Univ Oxford, Comp Lab, Oxford OX1 3QD, England |
| 推荐引用方式 GB/T 7714 | Bai, ZZ,Duff, IS,Wathen, AJ. A class of incomplete orthogonal factorization methods. I: Methods and theories[J]. BIT,2001,41(1):53-70. |
| APA | Bai, ZZ,Duff, IS,&Wathen, AJ.(2001).A class of incomplete orthogonal factorization methods. I: Methods and theories.BIT,41(1),53-70. |
| MLA | Bai, ZZ,et al."A class of incomplete orthogonal factorization methods. I: Methods and theories".BIT 41.1(2001):53-70. |
入库方式： OAI收割
来源：数学与系统科学研究院
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