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Hermite-Biehler, Routh-Hurwitz, and total positivity

经典分析与常微分方程 2007-05-23 v1 环与代数

摘要

Simple proofs of the Hermite-Biehler and Routh-Hurwitz theorems are presented. The total nonnegativity of the Hurwitz matrix of a stable real polynomial follows as an immediate corollary.

关键词

引用

@article{arxiv.math/0512591,
  title  = {Hermite-Biehler, Routh-Hurwitz, and total positivity},
  author = {Olga Holtz},
  journal= {arXiv preprint arXiv:math/0512591},
  year   = {2007}
}

备注

4 pages