PIECEWISE QUADRATIC BOUNDING FUNCTIONS FOR FINDING REAL ROOTS OF POLYNOMIALS

Abstract

In this paper, our main interest is to create/ construct a new useful and outstanding algorithm to obtain roots of the real polynomial represented by f(x) = c(0) +c(1)x+ ... + c(i)x(i) + ... + c(n)(x)n where coefficients of the polynomials are real numbers and x is a real number in the closed interval of R. Also, our results are supported by numerical examples. Then, a new algorithm is compared with the others (writer classical methods) and this algorithm is more useful than others.