Count the Number of Complex Roots

Title:	Count the Number of Complex Roots
Author:	Wenda Li
Submission date:	2017-10-17
Abstract:	Based on evaluating Cauchy indices through remainder sequences, this entry provides an effective procedure to count the number of complex roots (with multiplicity) of a polynomial within a rectangle box or a half-plane. Potential applications of this entry include certified complex root isolation (of a polynomial) and testing the Routh-Hurwitz stability criterion (i.e., to check whether all the roots of some characteristic polynomial have negative real parts).
BibTeX:	@article{Count_Complex_Roots-AFP, author = {Wenda Li}, title = {Count the Number of Complex Roots}, journal = {Archive of Formal Proofs}, month = oct, year = 2017, note = {\url{http://isa-afp.org/entries/Count_Complex_Roots.html}, Formal proof development}, ISSN = {2150-914x}, }
License:	BSD License
Depends on:	Sturm_Tarski, Winding_Number_Eval
Used by:	Linear_Recurrences
Status: [ok]	This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations.