Related papers: On finding complex roots of polynomials using the …
This paper has been withdrawn by the authors due to some errors.
In this paper we propose a novel efficient algorithm for calculating winding numbers, aiming at counting the number of roots of a given polynomial in a convex region on the complex plane. This algorithm can be used for counting and…
This paper has been withdrawn to allow publication elsewhere.
The author was informed that the result in the original version had been obtained earlier by K. Ueda (arXiv:math/0503355 [math.AG]). The paper is retracted.
This paper has been withdrawn by the author due to an error
This paper has been withdrawn by the author because there are some typos in proofs.
Withdrawn because of non-correctness. Would have implied too much to be true :-|
This paper has been withdrawn by the author due to a mistake.
This comment points out a serious flaw in the article "Gouri\'eroux, Monfort, Renne (2019): Identification and Estimation in Non-Fundamental Structural VARMA Models" with regard to mirroring complex-valued roots with Blaschke polynomial…
This paper was withdrawn by the authors.
This paper has been withdrawn by the author(s), due an error in the proof.
This paper was withdrawn by the authors.
The paper has been withdrawn due to numerical error.
We describe a new incomplete but terminating method for real root finding for large multivariate polynomials. We take an abstract view of the polynomial as the set of exponent vectors associated with sign information on the coefficients.…
This paper has been withdrawn by the authors.
This paper has been withdrawn.
In this note we correct a technical error occurred in [M. Torrente and M.C. Beltrametti, "Almost vanishing polynomials and an application to the Hough transform", J. Algebra Appl. 13(8), (2014)]. This affects the bounds given in that paper,…
This paper has been withdrawn by the author.
This paper has been withdrawn due to a crucial theoretical error.
We construct a family of root-finding algorithms which exploit the branched covering structure of a polynomial of degree $d$ with a path-lifting algorithm for finding individual roots. In particular, the family includes an algorithm that…