Given a monic polynomial f over finite fields F, (i.e. the coefficents of f are in the field F), we will factor f into product of irreducible monic polynomials. (a polynomial is irreducible if it is ...

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 ...

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

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 ...

Abstract: Sorted spectral factorization of matrix polynomials is studied. Such type of factoring Hermitian matrix polynomials is the key step in calculating the optimum receive filter matrices in ...

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

A method of iteration is developed in terms of a function of somewhat arbitrary character. Sufficient conditions are given for convergence of the process, yielding factors of arbitrary degree for ...

ABSTRACT: Substitution boxes or S-boxes play a significant role in encryption and de-cryption of bit level plaintext and cipher-text respectively. Irreducible Poly-nomials (IPs) have been used to ...