Estimates for polynomial roots.
Mignotte, Maurice ; Stefanescu, Doru
HAL, hal-00129655 / Harvested from HAL
Text on HAL
Given a complex polynomial, we obtain estimates for the lower bounds of the roots outside the unit circle. Our main tool is the method of Dandelin--Graeffe, which can be used directly for polynomials with distinct absolute values of the roots. In the general case the arguments of the powers of the roots must be controlled, and we achieve this by two methods: a theorem of Dirichlet, and an argument on recursive linear sequences.
Publié le : 2000-06-01
Classification:  polynomial roots,  Graeffe's method,  "polynomial roots,  Graeffe's method",  30C15, 26C10,12D10,  [MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV] 
@article{hal-00129655,
     author = {Mignotte, Maurice and Stefanescu, Doru},
     title = {Estimates for polynomial roots.},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00129655}
}

Mignotte, Maurice; Stefanescu, Doru. Estimates for polynomial roots.. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00129655/