Mixed and componentwise condition numbers of nonsymmetric algebraic Riccati equation

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• 作者：Landong Liu ^{Liuld@cumtb.edu.cn}
• 关键词：Nonsymmetric algebraic Riccati equation ; Mixed and componentwise ; Condition number
• 刊名：Applied Mathematics and Computation
• 出版年：2012
• 期刊代码：7_00963003
• 类别：cp
• 出版时间：15 March, 2012
• 卷：218
• 期：14
• 页码：7595-7601
• 文件大小：194 K

摘要

In this paper, the mixed and componentwise condition numbers of nonsymmetric algebraic Riccati equation are considered. The explicit expressions of two kinds of condition numbers are derived in the uniform manner, and the upper bounds are proposed. Some simple numerical experiments show that the mixed and componentwise condition numbers can be sharp.