Condition number and backward errors of nonsymmetric algebraic Riccati equation | |
Liu, Lan-dong ; Xu, Shu-fang | |
2014 | |
关键词 | Nonsymmetric algebraic Riccati equation Perturbation analysis Condition number Backward error M-matrix Minimal nonnegative solution PERTURBATION ANALYSIS DOUBLING-ALGORITHM |
英文摘要 | The normwise condition number and two kinds of backward errors are considered when nonsymmetric algebraic Riccati equation (NARE) has the minimal nonnegative solution. Based on the techniques for the symmetric case, we apply the condition number theory developed by Rice to define condition number for NARE. The explicit expression is derived in a uniform manner. Meanwhile, two kinds of backward errors are defined and evaluated by the explicit formulas. Numerical experiments are listed to illustrate and compare the practical performance. (C) 2014 Elsevier Inc. All rights reserved.; Mathematics, Applied; SCI(E); EI; 0; ARTICLE; Liuld@cumtb.edu.cn; 716-728; 242 |
语种 | 英语 |
出处 | EI ; SCI |
出版者 | applied mathematics and computation |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/209051] |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Liu, Lan-dong,Xu, Shu-fang. Condition number and backward errors of nonsymmetric algebraic Riccati equation. 2014-01-01. |
个性服务 |
查看访问统计 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论