Fast Computation of the Zeros of a Polynomial via Factorization of the Companion Matrix-Reference-Cited by-同舟云学术

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

Published:2013-01 Issue:1 Volume:35 Page:A255-A269
ISSN:1064-8275
Container-title:SIAM Journal on Scientific Computing
language:en
Short-container-title:SIAM J. Sci. Comput.

Author:

Aurentz Jared L.,Vandebril Raf,Watkins David S.

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Applied Mathematics,Computational Mathematics

Link

http://epubs.siam.org/doi/pdf/10.1137/120865392

Reference9 articles.

1. A fast implicit QR eigenvalue algorithm for companion matrices

2. Fast QR Eigenvalue Algorithms for Hessenberg Matrices Which Are Rank‐One Perturbations of Unitary Matrices

3. A Fast QR Algorithm for Companion Matrices

4. A note on companion matrices

5. The QR Transformation--Part 2

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1. Hermitian and Unitary Almost-Companion Matrices of Polynomials on Demand;Entropy;2023-02-08

2. Discrete-time non-Markovian SEIS model on complex networks;IEEE Transactions on Network Science and Engineering;2021

3. Fast and backward stable transforms between spherical harmonic expansions and bivariate Fourier series;Applied and Computational Harmonic Analysis;2019-11

4. The Polynomial Eigenvalue Problem is Well Conditioned for Random Inputs;SIAM Journal on Matrix Analysis and Applications;2019-01

5. Factoring Block Fiedler Companion Matrices;Structured Matrices in Numerical Linear Algebra;2019

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