ERROR ANALYSES OF A NUMERICAL DETERMINATION FOR MATRIX STABILITY
文献类型：期刊论文
| 作者 | Wu ZW(吴镇炜) ; Bu CG(卜春光); Nie YY(聂义勇)
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| 刊名 | Far East Journal of Applied Mathematics
 |
| 出版日期 | 2007 |
| 卷号 | 29期号:1页码:149-164 |
| 关键词 | error analysis stabilized elementary transformation scaling strategy Frobenius-like form quasi-Routh array |
| ISSN号 | 0972-0960 |
| 产权排序 | 1 |
| 中文摘要 | It is well known that the transformation of a matrix to Frobenius companion form may be numerically unstable. The paper analyses rounding errors of a stabilized transformation to a modified Frobenius form having appropriate scaling factors in the subdiagonal. Then, the numerical stability of a root locus criterion using a quasi-Routh array is analysed and applied to the matrix stability problem in differential equations to decide if all eigenvalues have negative real part. The paper concludes that these methods can determine matrix stability with high accuracy. However, no numerical examples are included. |
| 语种 | 英语 |
| 公开日期 | 2012-07-26 |
| 源URL | [http://ir.sia.cn/handle/173321/9115]  |
| 专题 | 沈阳自动化研究所_机器人学研究室 |
| 推荐引用方式 GB/T 7714 | Wu ZW,Bu CG,Nie YY. ERROR ANALYSES OF A NUMERICAL DETERMINATION FOR MATRIX STABILITY[J]. Far East Journal of Applied Mathematics,2007,29(1):149-164. |
| APA | Wu ZW,Bu CG,&Nie YY.(2007).ERROR ANALYSES OF A NUMERICAL DETERMINATION FOR MATRIX STABILITY.Far East Journal of Applied Mathematics,29(1),149-164. |
| MLA | Wu ZW,et al."ERROR ANALYSES OF A NUMERICAL DETERMINATION FOR MATRIX STABILITY".Far East Journal of Applied Mathematics 29.1(2007):149-164. |
入库方式： OAI收割
来源：沈阳自动化研究所
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