On structured pseudo spectra for polynomial eigenvalue problems
Muzafar Hama · International Journal of Algebra · 2013
Pseudospectra associated with the generalized eigenvalue problems have been widely investigated in recent years. This paper is organized as follows. First, we prove for a class∈{Symmetric, Persymmetric, Toeplitz, SymToeplitz, Hankel, PersymHankel, Circulant}, we have the classed pseudospectrum of matrix is equal to the unclassed pseudospectrum because of the departure from singularity. Second, we prove the same results for classed pseudospectra of matrix polynomials. Mathematics Subject Classification: 65F15, 15A22, 65F15