Related papers: On finding complex roots of polynomials using the …
This paper has been withdrawn by the author due to a sheaf-theoretic error, in the end of the proof of the main theorem.
This paper has been withdrawn by the author, due an error in the proof of Proposion 2.13.
This paper has been withdrawn by the author due to an error.
This paper has been withdrawn by the author, due to a counter example to step 6.2 indicated by K. Karu.
Isolating the real roots of univariate polynomials is a fundamental problem in symbolic computation and it is arguably one of the most important problems in computational mathematics. The problem has a long history decorated with numerous…
The paper has been withdrawn due to a crucial error in section 3.
This paper has been withdrawn by the authors.
This paper has been withdrawn by the authors because the paper is largely revised and improved, and to appear in Mechanics Research Communications.
This paper has been withdrawn due to its publication
This paper has been withdrawn by the author due to a crucial error in the last lines in the proof of Lemma 3.3.
In this article we use a method of finding the index of a complex-valued function by determined number of arithmetic operations to describe an algorithm of localization of roots of square-free polynomials. We give an estimation of the…
This paper has been withdrawn by the author due to the presented idea is wrong.
This paper has been withdrawn by the authors because it has been combined with "Higher Auslander Algebras Admitting Trivial Maximal Orthogonal Subcategories" (arXiv:0903.0761) together. Please see the new version of the latter paper for the…
This paper has been withdrawn by the author(s) in the light of several other works available and due to a misunderstanding in the authorships.
This article is withdrawn because of a mistake in the main result of the paper.
[Inserted by J. Maurice Rojas] We give a formula for the number of complex roots of a generic system of two polynomial equations in two unknowns. The formula is completely combinatorial, ultimately depending just on the convex hull of the…
This paper has been withdrawn by the author due to a serious errors in the calculations.
This paper has been withdrawn
This paper has been withdrawn by the author(s), due an error in the proof.
This paper has been withdrawn by the author due to a crucial sign error in equation 1