English

New Structured Matrix Methods for Real and Complex Polynomial Root-finding

Numerical Analysis 2013-11-26 v1

Abstract

We combine the known methods for univariate polynomial root-finding and for computations in the Frobenius matrix algebra with our novel techniques to advance numerical solution of a univariate polynomial equation, and in particular numerical approximation of the real roots of a polynomial. Our analysis and experiments show efficiency of the resulting algorithms.

Keywords

Cite

@article{arxiv.1311.6077,
  title  = {New Structured Matrix Methods for Real and Complex Polynomial Root-finding},
  author = {Victor Y. Pan and Ai-Long Zheng},
  journal= {arXiv preprint arXiv:1311.6077},
  year   = {2013}
}

Comments

18 pages

R2 v1 2026-06-22T02:13:45.780Z