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Bibliographic Details
Main Authors: Blazhko, Hanna, Wojtylak, Michał
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2603.21771
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Table of Contents:
  • Rigorous, non-asymptotic bounds for the Puiseux expansion of the eigenvalue at infinity are given. Error analysis is provided. Further, the expected value of the eigenvector condition number of a randomly perturbed matrix is estimated. The latter result is applied to the Cayley transform of the linear pencil. Numerical simulations illustrating the theoretical findings are provided.