Iterative methods for simultaneous inclusion of polynomial zeros / Miodrag Petkovic

Auteur: Petković, Miodrag (1948-) - AuteurType de document: Livre numériqueCollection: Lecture notes in mathematics, (Online) ; 1387Langue: anglaisÉditeur: Berlin : Springer-Verlag, 1989 ISBN: 9783540514855 ISSN: 1617-9692Note: This book collects, reviews, unifies and augments many interesting developments in the solution of polynomial equations. Galois’ famous theorem concerning polynomial zeros states that a general direct method in terms of explicit formulas exist only for polynomials of degree less than five. Because of that, for finding zeros of higher degree polynomials one has to apply numerical methods. These methods, which generally take the form of an iterative process, give rise to the questions: How close is the current iterate to the solution, how fast does the iteration converge, can we trust the computed numbers? ... (Zentralblatt) Sujets MSC: 65H05 Numerical analysis -- Nonlinear algebraic or transcendental equations -- Single equations
65G30 Numerical analysis -- Error analysis and interval analysis -- Interval and finite arithmetic
30C15 Functions of a complex variable -- Geometric function theory -- Zeros of polynomials, rational functions, and other analytic functions
En-ligne: Springerlink | Zentralblatt | MathSciNet

No physical items for this record


This book collects, reviews, unifies and augments many interesting developments in the solution of polynomial equations. Galois’ famous theorem concerning polynomial zeros states that a general direct method in terms of explicit formulas exist only for polynomials of degree less than five. Because of that, for finding zeros of higher degree polynomials one has to apply numerical methods. These methods, which generally take the form of an iterative process, give rise to the questions: How close is the current iterate to the solution, how fast does the iteration converge, can we trust the computed numbers? ... (Zentralblatt)

There are no comments for this item.

Log in to your account to post a comment.
Languages: English | Français | |