An improvement on Nourein's method for the simultaneous determination of the zeroes of a polynomial. (An algorithm)

Related Items (22)

Some improved inclusion methods for polynomial roots with Weierstrass' corrections ⋮ On iteration methods without derivatives for the simultaneous determination of polynomial zeros ⋮ On a cubically convergent derivative-free root finding method ⋮ Construction of zero-finding methods by Weierstrass functions ⋮ On Euler-like methods for the simultaneous approximation of polynomial zeros ⋮ On a high-order one-parameter family for the simultaneous determination of polynomial roots ⋮ A new family of Sakurai-Torii-Sugiura type iterative methods with high order of convergence ⋮ Convergence analysis of Sakurai-Torii-Sugiura iterative method for simultaneous approximation of polynomial zeros ⋮ A new method of increasing the order of convergence step by step ⋮ The root and Bell's disk iteration methods are of the same error propagation characteristics in the simultaneous determination of the zeros of a polynomial. II: Round-off error analysis by use of interval arithmetic ⋮ Methods with corrections for the simultaneous inclusion of polynomial zeros ⋮ On the fourth order methods of Weierstrass' type ⋮ Börsch-supan-like methods: point estimation and parallel implementation ⋮ An efficient higher order family of root finders ⋮ Weierstrass-like methods with corrections for the inclusion of polynomial zeros ⋮ On the new fourth-order methods for the simultaneous approximation of polynomial zeros ⋮ The root and Bell's disk iteration methods are of the same error propagation characteristics in the simultaneous determination of the zeros of a polynomial. I: Correction methods ⋮ Computer methodologies for comparison of computational efficiency of simultaneous methods for finding polynomial zeros ⋮ On the guaranteed convergence of new two-point root-finding methods for polynomial zeros ⋮ On a simultaneous method of Newton-Weierstrass' type for finding all zeros of a polynomial ⋮ A family of simultaneous methods for the determination of polynomial complex zeros ⋮ On some interval methods for algebraic, exponential and trigonometric polynomials

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