Heng Cao, Haifeng Xi, et al.
WSC 2003
We present a simple algorithm for approximating all roots of a polynomial p(x) when it has only real roots. The algorithm is based on some interesting properties of the polynomials appearing in the Extended Euclidean Scheme for p(x) and p′(x). For example, it turns out that these polynomials are orthogonal; as a consequence, we are able to limit the precision required by our algorithm in intermediate steps. A parallel implementation of this algorithm yields a P-uniform NC2 circuit, and the bit complexity of its sequential implementation is within a polylog factor of the bit complexity of the best known algorithm for the problem. © 1990.
Heng Cao, Haifeng Xi, et al.
WSC 2003
Tong Zhang, G.H. Golub, et al.
Linear Algebra and Its Applications
John A. Hoffnagle, William D. Hinsberg, et al.
Microlithography 2003
Vladimir Yanovski, Israel A. Wagner, et al.
Ann. Math. Artif. Intell.