A sharp version of Bauer–Fike’s theorem

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摘要

In this paper, we present a sharp version of Bauer–Fike’s theorem. We replace the matrix norm with its spectral radius or sign-complex spectral radius for diagonalizable matrices; 1-norm and ∞-norm for non-diagonalizable matrices. We also give the applications to the pole placement problem and the singular system.

论文关键词：15A09,65F20,Bauer–Fike’s theorem,Sign-real spectral radius,Sign-complex spectral radius,Diagonalizable,Regular matrix pair,Single-input pole placement

论文评审过程：Received 18 June 2011, Revised 9 November 2011, Available online 21 February 2012.

论文官网地址：https://doi.org/10.1016/j.cam.2012.02.021