The Polynomial Eigenvalue Problem is Well Conditioned for Random Inputs-Reference-Cited by-同舟云学术

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The Polynomial Eigenvalue Problem is Well Conditioned for Random Inputs

Published:2019-01 Issue:1 Volume:40 Page:175-193
ISSN:0895-4798
Container-title:SIAM Journal on Matrix Analysis and Applications
language:en
Short-container-title:SIAM J. Matrix Anal. Appl.

Author:

Armentano Diego,Beltrán Carlos

Funder

Spanish Ministry of Science MICINN

Agencia Nacional de Investigación e Innovación

Comisión Sectorial de Investigación Científica

Universidad de Cantabria

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Analysis

Link

https://epubs.siam.org/doi/pdf/10.1137/17M1139941

Reference25 articles.

1. Stochastic perturbations and smooth condition numbers

2. A stable, polynomial-time algorithm for the eigenpair problem

3. A Randomized Homotopy for the Hermitian Eigenpair Problem

4. Fast Computation of the Zeros of a Polynomial via Factorization of the Companion Matrix

5. SOAR: A Second-order Arnoldi Method for the Solution of the Quadratic Eigenvalue Problem

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1. Condition numbers for the cube. I: Univariate polynomials and hypersurfaces;Journal of Symbolic Computation;2023-03

2. Efficient sampling in spectrahedra and volume approximation;Linear Algebra and its Applications;2022-09

3. The Limit Empirical Spectral Distribution of Gaussian Monic Complex Matrix Polynomials;Journal of Theoretical Probability;2022-02-16

4. The Average Condition Number of Most Tensor Rank Decomposition Problems is Infinite;Foundations of Computational Mathematics;2022-02-08

5. The limit empirical spectral distribution of complex matrix polynomials;Random Matrices: Theory and Applications;2021-09-25

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