Transactions of the American Mathematical Society, Vol. 216 (Feb., 1976), pp. 237-248 (12 pages) Conical polynomials are defined as certain polynomials in quadratic elements of the universal ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

Abstract: A fast transversal filter for the numerical factorization of polynomials is presented. When all zeros of a polynomial are of different modulus, this algorithm can be used for the ...

Abstract: An algorithm for the numerical factorization of very high degree but well-conditioned polynomials is developed. This is used to factor the z-transform of finite-length signals, and the zeros ...

We present a randomized quantum algorithm for polynomial factorization over finite fields. For polynomials of degree n over a finite field F_q, the average-case complexity of our algorithm is an ...

Factorization theorems are obtained for selfadjoint operator polynomials $\mathrm{L}\left(\mathrm{\lambda }\right):=\sum _{\mathrm{j}=0}^{\mathrm{n}}{\mathrm{\lambda ...

An iterative technique is displayed whereby factors of arbitrary degree can be found for polynomials in one variable. Convergence is shown to occur always if a certain Jacobian does not vanish and if ...

Probabilistic Ising machines (PIMs) are advanced and specialized computing systems that could tackle computationally hard problems, such as optimization or integer factorization tasks, more ...