A new general formula for the Cauchy index on an interval with subresultants. (March 2022)

• Record Type: Journal Article
• Authors: Perrucci, Daniel; Roy, Marie-Françoise
• Is Part Of: Journal of symbolic computation. Volume 109(2022)
• Page Start: 465
• Page End: 481
• Publication Date: 2022-03
• Subjects: 14P99 -- 13P15 -- 12D10 -- 26C15; Cauchy index -- Subresultant polynomials; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2020.07.016
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: We present a new formula for the Cauchy index of a rational function on an interval using subresultant polynomials. There is no condition on the endpoints of the interval and the formula also involves in some cases less subresultant polynomials.