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 ...

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 ...

A line drawing of the Internet Archive headquarters building façade. An illustration of a magnifying glass. An illustration of a magnifying glass.

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 ...

Recently, I applied to a fellowship with Math for America, a program dedicated to improving mathematics education in U.S. public schools by recruiting, training, and retaining highly qualified ...