location of the roots of a polynomial
1Polynomial and rational function modeling — In statistical modeling (especially process modeling), polynomial functions and rational functions are sometimes used as an empirical technique for curve fitting.Polynomial function modelsA polynomial function is one that has the form:y = a… …
2Wilkinson's polynomial — In numerical analysis, Wilkinson s polynomial is a specific polynomial which was used by James H. Wilkinson in 1963 to illustrate a difficulty when finding the root of a polynomial: the location of the roots can be very sensitive to perturbations …
3Properties of polynomial roots — In mathematics, a polynomial is a function of the form: p(x) = a 0 + a 1 x + cdots a n x^n, quad xin mathbb{C}where the coefficients a 0, ldots, a n are complex numbers. The fundamental theorem of algebrastates that polynomial p has n roots. The… …
4BCH code — In coding theory the BCH codes form a class of parameterised error correcting codes which have been the subject of much academic attention in the last fifty years. BCH codes were invented in 1959 by Hocquenghem, and independently in 1960 by Bose… …
5Group theory — is a mathematical discipline, the part of abstract algebra that studies the algebraic structures known as groups. The development of group theory sprang from three main sources: number theory, theory of algebraic equations, and geometry. The… …
6Greedy algorithm for Egyptian fractions — In mathematics, an Egyptian fraction is a representation of an irreducible fraction as a sum of unit fractions, as e.g. 5/6 = 1/2 + 1/3. As the name indicates, these representations have been used as long ago as ancient Egypt, but the first… …
7Root (mathematics) — This article is about the zeros of a function, which should not be confused with the value at zero. You may also want information on the Nth roots of numbers instead. In mathematics, a root (or a zero) of a complex valued function f is a member x …
8numerical analysis — the branch of mathematics dealing with methods for obtaining approximate numerical solutions of mathematical problems. [1925 30] * * * Branch of applied mathematics that studies methods for solving complicated equations using arithmetic… …
9Riemann hypothesis — The real part (red) and imaginary part (blue) of the Riemann zeta function along the critical line Re(s) = 1/2. The first non trivial zeros can be seen at Im(s) = ±14.135, ±21.022 and ±25.011 …
10Eigenvalue, eigenvector and eigenspace — In mathematics, given a linear transformation, an Audio|De eigenvector.ogg|eigenvector of that linear transformation is a nonzero vector which, when that transformation is applied to it, changes in length, but not direction. For each eigenvector… …
