A note on structured pseudospectra of block matrices
作者:
Highlights:
•
摘要
In this note we consider the question of equivalence of pseudospectra and structured pseudospectra of block matrices. The structures we study are all so called double structures; that is, the blocks of the given matrix are of the same structure as the block matrix. The approach is based on that of non-block matrices, which are also briefly studied, and the use of distance to singularity. We also list some open problems and conjectures.
论文关键词:primary,15A18,15B05,secondary,65F15,Structured pseudospectrum,Structured distance to singularity,Block matrices,Toeplitz matrices,Hankel matrices
论文评审过程:Received 21 April 2016, Revised 28 December 2016, Available online 27 March 2017, Version of Record 12 April 2017.
论文官网地址:https://doi.org/10.1016/j.cam.2017.03.020