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: A method is presented for polynomial factorization using a search method. The method used is to search for real parts of roots by iteratively applying the Routh test to a shifted polynomial.

Abstract: This paper presents a novel means of computing the greatest common divisor (GCD) of two polynomials with real-valued coefficients that have been perturbed by noise. The method involves the ...

The invariant polynomials Cφ κ 1,...,κ r (X1,...,Xr) (Davis [8] and Chikuse [2] with r (r ≥ 2) symmetric matrix arguments have been defined, extending the zonal ...

We present a procedure that gives us an SOS (sum of squares) decomposition of a given real polynomial in variables, if there exists such decomposition. For the case of real polynomials in ...

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 ...

You can use this code to perform Newton polynomial interpolation with your own data sets. Here are the basic steps: Set the Polynomial Degree: You can specify the degree of the interpolating ...