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The Polynomial Eigenvalue Problem is Well Conditioned for Random Inputs

Abstract: We compute the exact expected value of the squared condition number for the polynomial eigenvalue problem, when the input matrices have entries coming from the standard complex Gaussian distribution, showing that in general this problem is quite well conditioned.

Fuente: SIAM J. Matrix Anal. Appl., Vol. 40, No. 1, pp. 175-193 (2019)

Publisher: Society for Industrial and Applied Mathematics

Publication date: 05/02/2019

No. of pages: 19

Publication type: Article

DOI: 10.1137/17M1139941

ISSN: 0895-4798,1095-7162

Spanish project: MTM2017-83816-P ; MTM2017-90682-REDT

Publication Url: Https://doi.org/10.1137/17M1139941

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