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 ...

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 ...

Abstract: We have developed several methods of designing sparse periodic arrays based upon the polynomial factorization method. In these methods, transmit and receive aperture polynomials are selected ...

We implement in an IBM quantum computer a quantum algorithm for multivariate polynomial factoring and propose a noise-avoiding protocol to distill the experimental results in the presence of noise.

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

This assignment demonstrates polynomial interpolation using two methods: the Direct (Matrix) method and the Newton Divided Difference method. The objective is to compute the polynomial coefficients, ...

1 Warwick Mathematics Institute, The University of Warwick, Coventry, United Kingdom 2 School of Computer and Information Engineering, Luoyang Institute of Science and Technology, Luoyang, China To ...

Solving polynomials can be a challenging yet rewarding process when equipped with the right knowledge and techniques. Use this 13-step guide as a reference for tackling polynomials and expanding your ...

A Python package that provides a user-friendly and flexible way to work with polynomials. The package is designed for both beginners looking to explore polynomial mathematics and advanced users ...