ERROR ANALYSES OF A NUMERICAL DETERMINATION FOR MATRIX STABILITY

CORC > 沈阳自动化研究所 > 中国科学院沈阳自动化研究所 > 机器人学研究室

	ERROR ANALYSES OF A NUMERICAL DETERMINATION FOR MATRIX STABILITY
	Wu ZW(吴镇炜); Bu CG(卜春光); Nie YY(聂义勇)
刊名	Far East Journal of Applied Mathematics
	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
内容类型	期刊论文
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.