相关论文: On finding complex roots of polynomials using the …
This paper has been withdrawn
We use Newton's method to find all roots of several polynomials in one complex variable of degree up to and exceeding one million and show that the method, applied to appropriately chosen starting points, can be turned into an algorithm…
This paper has been withdrawn for the reasons mentioned in the Comments.
This paper has been withdrawn by the authors, due an error involving the weak* convergence argument in section 2
The paper was withdrawn because of its significant overlap with a paper appeared recently.
This paper has been withdrawn by the author due to incomplete interpretation for the results.
This paper has been withdrawn by the author due to an error in section 7. There is a new version: arXiv:1011.3352.
Discovering "good" algorithms for an operation is often considered an art best left to experts. What if there is a simple methodology, an algorithm, for systematically deriving a family of algorithms as well as their cost analyses, so that…
This paper has been withdrawn by the author.
This paper has been withdrawn by authors for significant modification.
This paper has been retracted.
The roots of any polynomial of degree m with complex integer coefficients can be computed by manipulation of sequences made from distinct symbols and counting the different symbols in the sequences. This method requires only primitive…
We propose an improved algorithm for finding roots of polynomials over finite fields. This makes possible significant speedup of the decoding process of Bose-Chaudhuri-Hocquenghem, Reed-Solomon, and some other error-correcting codes.
The paper has been withdrawn.
Some known results for locating the roots of polynomials are extended to the case of matrix polynomials. In particular, a theorem by A.E. Pellet [Bulletin des Sciences Math\'ematiques, (2), vol 5 (1881), pp.393-395], some results of D.A.…
This paper has been withdrawn by the author, due to possible counter-examples.
This paper has been withdrawn by the authors. I will do the major revision.
This paper has been withdrawn by the author due to an error estimate in Lemma 3.1.
There is a conceptual error in the main argument of this paper (essentially a regularization scheme is changed in the middle of a calculation), and therefore it is withdrawn. Interested readers are instead referred to hep-th/9811137.
This paper was withdrawn by the authors.