Journal of Computational Mathematics, Vol. 19, No. 4 (JULY 2001), pp. 347-356 (10 pages) In this paper it is shown in two different ways that one of the family of parallel iterations to determine all ...

This paper discusses some new integer factoring methods involving cyclotomic polynomials. There are several polynomials $f(X)$ known to have the following property ...

Uncertainty quantification (UQ) is increasingly critical for modelling complex systems in which input parameters or environmental conditions vary unpredictably. Polynomial chaos methods offer a ...

Researchers introduced new concepts and arithmetic functions that could play a significant role in the quantum factorization problem. The Factorization Ensemble is the main one; it allows us to bind ...

We discuss the application of orthogonal polynomials to the estimation of probability density functions, particularly with regard to accessing features of a portfolio's profit/loss distribution. Such ...