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Book
A contemporary study of iterative methods : convergence, dynamics and applications
Authors: --- --- --- ---
ISBN: 0128094931 0128092149 9780128094938 9780128092149 Year: 2018 Publisher: London : Academic Press,

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Over and over again
Authors: --- --- ---
ISBN: 088385953X 9780883859537 0883856417 9780883856413 Year: 1997 Publisher: Washington, DC : Mathematical Association of America,

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Suitable as supplemental reading in courses in differential and integral calculus, numerical analysis, approximation theory and computer-aided geometric design. Relations of mathematical objects to each other are expressed by transformations. The repeated application of a transformation over and over again, i.e., its iteration leads to solution of equations, as in Newton's method for finding roots, or Picard's method for solving differential equations. This book studies a treasure trove of iterations, in number theory, analysis and geometry, and applied them to various problems, many of them taken from international and national Mathematical Olympiad competitions. Among topics treated are classical and not so classical inequalities, Sharkovskii's theorem, interpolation, Bernstein polynomials, BŽzier curves and surfaces, and splines. Most of the book requires only high school mathematics; the last part requires elementary calculus. This book would be an excellent supplement to courses in calculus, differential equations,, numerical analysis, approximation theory and computer-aided geometric design.


Book
Operators and iterative processes of fejér type : theory and applications
Authors: --- ---
ISBN: 1282187953 9786612187957 3110218194 9783110218190 3110218186 9783110218183 9781282187955 9783110218183 Year: 2009 Publisher: Berlin ; New York : W. de Gruyter,

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This book, written by two experts in the field, deals with classes of iterative methods for the approximate solution of fixed points equations for operators satisfying a special contractivity condition, the Fejér property. The book is elementary, self-contained and uses methods from functional analysis, with a special focus on the construction of iterative schemes. Applications to parallelization, randomization and linear programming are also considered.


Book
Iterative algorithms.
Authors: --- --- --- ---
ISBN: 1634854225 9781634854061 1634854063 9781634858793 1634858794 9781634854221 Year: 2017 Publisher: New York : Nova Publishers,

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Book
Iterative algorithms
Authors: --- --- --- --- --- et al.
ISBN: 1634858964 9781634858960 9781634858793 Year: 2017 Publisher: New York : Nova Publishers,

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Solving polynomial equation systems.
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ISBN: 9780511542831 9780521811545 0511064497 9780511064494 0511542836 0511072953 9780511072956 1280418559 9786610418558 0511178883 1139147919 0511058160 0511306024 Year: 2003 Publisher: Cambridge : Cambridge University Press,

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Polynomial equations have been long studied, both theoretically and with a view to solving them. Until recently, manual computation was the only solution method and the theory was developed to accommodate it. With the advent of computers, the situation changed dramatically. Many classical results can be more usefully recast within a different framework which in turn lends itself to further theoretical development tuned to computation. This first book in a trilogy is devoted to the new approach. It is a handbook covering the classical theory of finding roots of a univariate polynomial, emphasising computational aspects, especially the representation and manipulation of algebraic numbers, enlarged by more recent representations like the Duval Model and the Thom Codification. Mora aims to show that solving a polynomial equation really means finding algorithms that help one manipulate roots rather than simply computing them; to that end he also surveys algorithms for factorizing univariate polynomials.


Book
Iterations of differential operators
Authors: ---
ISBN: 2881247075 Year: 1989 Publisher: New York (N.Y.): Gordon and Breach

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Book
Rational iteration : complex analytic dynamical systems
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ISBN: 3110889315 Year: 1993 Volume: 16 Publisher: Berlin ; New York : W. de Gruyter,

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Book
Methods for solution of nonlinear operator equations
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ISBN: 3110920298 Year: 1997 Publisher: Utrecht, The Netherlands : VSP,

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Computational theory of iterative methods
Authors: --- --- ---
ISBN: 1281189189 9786611189181 0080560709 0444531629 9780444531629 9780080560700 9781281189189 6611189181 Year: 2007 Volume: 15 Publisher: Amsterdam ; London : Elsevier,

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The book is designed for researchers, students and practitioners interested in using fast and efficient iterative methods to approximate solutions of nonlinear equations. The following four major problems are addressed. Problem 1: Show that the iterates are well defined. Problem 2: concerns the convergence of the sequences generated by a process and the question of whether the limit points are, in fact solutions of the equation. Problem 3: concerns the economy of the entire operations. Problem 4: concerns with how to best choose a method, algorithm or software program to solve a specific type

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