MATLAB functions ENCR.m and DECR.m perform the text encryption/decription technique by using polynomial root finding method and decimated output of Zaslavsky equation. The scripts are based on the ...

The derivation and implementation of many algorithms in signal/image processing and control involve some form of polynomial root-finding and/or matrix eigendecomposition. In this paper, higher order ...

About Java examples of Numerical Methods to calculate the root of a function. Supported algorithms are Newton Raphson, Bisection, Fixed Point and False Rule.

In this correspondence a method of approximating a polynomial by a rational function is presented. The method is summarized by a matrix equation and an error fu ...

Suppose F is a polynomial and $\sum\nolimits_ {h \geqslant 0} {F\left ( { {b_h}} \right)} {X^h}$ represents a rational function. If the bh all belong to a field finitely generated over Q, then it is a ...

Thus, ARIMA models with input series are sometimes referred to as transfer function models. In the preceding regression and intervention model examples, the transfer function is a single scale ...

Abstract We use submultiplicative companion matrix norms to provide new bounds for roots for a given polynomial P (X) over the field C [X]. From a n × n Fiedler companion matrix C, sparse companion ...

Mike O'Leary, Taylor Polynomials for Rational Functions, The College Mathematics Journal, Vol. 29, No. 3 (May, 1998), pp. 226-228 ...

Hilbert’s 12th problem asked for novel analogues of the roots of unity, the building blocks for certain number systems. Now, over 100 years later, two mathematicians have produced them.