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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 II : Macaulay's paradigm and Gröbner technology
Authors: ---
ISBN: 9781107340954 9780521811569 1107340950 9781107266902 1107266904 9781299707610 1299707610 9781107269989 1107269989 9780521811545 0521811546 0521811562 9780521811552 0521811554 1139883003 1107266556 110726443X 1107263344 1107267978 Year: 2005 Volume: v. 99 Publisher: Cambridge ; New York : Cambridge University Press,

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The second volume of a comprehensive treatise. This part focuses on Buchberger theory and its application to the algorithmic view of commutative algebra.

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

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Mora covers the classical theory of finding roots of a univariate polynomial, emphasising computational aspects. He shows 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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