A note on structured pseudospectra of block matrices

Richard Ferro, Jani A. Virtanen · Journal of Computational and Applied Mathematics · 2017

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.

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