Abstract: One class of efficient algorithms for computing a discrete Fourier transform (DFT) is based on a recursive polynomial factorization of the polynomial 1-z/sup -N/. The Bruun algorithm is a ...

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 ...

Berlekamp's Algorithm - A deterministic algorithm for polynomial factorization over finite fields Cantor-Zassenhaus Algorithm - A randomized algorithm that combines distinct degree factorization with ...

Abstract: This paper investigates the average running times and complexities of various root-finding algorithms, including the Affine Method (ARM), Sparse Root Algorithm (SRA), and Branching Tree ...

It has been shown that an analytic symplectic map can be directly converted into a product of Lie transformations in the form of integrable polynomial factorization ...

Methods of polynomial factorization which find the zeros one at a time require the division of the polynomial by the accepted factor. It is shown how the accuracy of this division may be increased by ...

This Rust program implements polynomial factorization using the Rational Root Theorem. It evaluates the possible rational roots of a polynomial and determines the actual roots. Computes the divisors ...

Methods of polynomial factorization which find the zeros one at a time require the division of the polynomial by the accepted factor. It is shown how the accuracy of this division may be increased by ...

ABSTRACT: We review our models of quantum associative memories that represent the “quantization” of fully coupled neural networks like the Hopfield model. The idea is to replace the classical ...

ABSTRACT: We present a new perspective on the P vs NP problem by demonstrating that its answer is inherently observer-dependent in curved spacetime, revealing an oversight in the classical formulation ...