For a class of non-selfadjoint semiclassical operators in dimension one, we get a complete asymptotic description of all eigenvalues near a critical value of the leading symbol of the operator on the boundary of the pseudospectrum.

We examine the utility of quadratic pseudospectrum for understanding and detecting states that are somewhat localized in position energy, particular, context condensed matter physics. Specifically, represents a method approaching systems with incompatible observables { A j ?1 ? d} as it minimizes collectively errors ? v ? ? v? while defining joint approximate spectrum observables. Moreover, we ...

In this note, we obtain a lower bound for the distance between the pseudospectrum of a matrix polynomial and a given point that lies out of it, generalizing a known result on pseudospectra of matrices.

Vehicles generate dissimilar sound patterns under different health conditions. The sound generated by the vehicles gives a clue of some of the faults. Automotive experts diagnose the faults in vehicles based on the produced sound. This paper presents a methodology for fault source localization in motorcycles using the estimated pseudospectra of the sound signals. The pseudospectra are traced to...

We study the stability of quasinormal modes (QNM) in asymptotically flat black hole spacetimes by means a pseudospectrum analysis. The construction Schwarzschild QNM reveals following: (i) slowest-decaying under perturbations respecting asymptotic structure, reassessing instability fundamental discussed Nollert [H. P. Nollert, About Significance Quasinormal Modes Black Holes, Phys. Rev. D 53, 4...

The celebrated Kreiss matrix theorem is one of several results relating the norms of the powers of a matrix to its pseudospectra (i.e. the level curves of the norm of the resolvent). But to what extent do the pseudospectra actually determine the norms of the powers? Specifically, let A, B be square matrices such that, with respect to the usual operator norm ‖ · ‖, (∗) ‖(zI − A)−1‖ = ‖(zI − B)−1...