Structured perturbations of Drazin inverse

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摘要

In this paper the normwise perturbation theory of the Drazin inverse is investigated. We study the following structure matrices: Toeplitz, Hankel matrices. When we take the structure of the matrix, we get that the structured condition number is small compared with unstructured condition number. For specific right hand side we give the estimate and formula of the condition number for structured system.

论文关键词:Drazin inverse,Structured perturbations,Singular linear system with index k

论文评审过程:Available online 30 October 2003.

论文官网地址:https://doi.org/10.1016/j.amc.2003.08.099