000			02923n a2200337#a 4500
001			5000026
003			DE-He213
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007			cr||||||||||||
008			100301s2008 xxu| s |||| 0|eng d
020			_a9780387727431
024	7		_a10.1007/978-0-387-72743-1 _2doi
035			_a978-0-387-72743-1
090			_amg
100	1		_aArgyros, Ioannis K _99097
245	1	0	_aConvergence and Applications of Newton-type Iterations _h[electronic resource]/ _cby Ioannis K. Argyros.
260			_aNew York: _bSpringer, NY, _c2008.
300			_bdigital.
505	0		_aPreface -- Table of Contents -- Operators and Equations -- The Newton-Kantorovich (NK) Method -- Applications of the Weaker Version of the (NK) Theorem -- Special Methods -- Newton-Like Methods -- Analytic Computational Complexity: We are Concerned with the Choice of Initial Approximations -- Variational Inequalities -- Convergence Involving Operators with Outer or Generalized Inverses -- Convergence on Generalized Banach Spaces -- Point-to-Set Mappings -- The Newton-Kantorovich Theorem and Mathematical Programming -- Glossary of Symbols -- Bibliography .
520			_aRecent results in local convergence and semi-local convergence analysis constitute a natural framework for the theoretical study of iterative methods. This monograph provides a comprehensive study of both basic theory and new results in the area. Each chapter contains new theoretical results and important applications in engineering, modeling dynamic economic systems, input-output systems, optimization problems, and nonlinear and linear differential equations. Several classes of operators are considered, including operators without Lipschitz continuous derivatives, operators with high order derivatives, and analytic operators. Each section is self-contained. Examples are used to illustrate the theory and exercises are included at the end of each chapter. The book assumes a basic background in linear algebra and numerical functional analysis. Graduate students and researchers will find this book useful. It may be used as a self-study reference or as a supplementary text for an advanced course in numerical functional analysis .
650		0	_aMathematics. _943458
650		0	_aFunctional analysis _xCongresses. _943528
650		0	_aComputer science _xMathematics. _937772
650		0	_aNumerical analysis. _943492
697			_aMatemáticas Gerais- _x(inclusive alguns textos elementares sobre assuntos específicos) _923752
710	1		_aSpringerLink (Online service). _98857
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387727417
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-387-72743-1
942			_2impa _cEBK
999			_aARGYROS, Ioannis K. <b> Convergence and Applications of Newton-type Iterations. </b> New York: Springer, NY, 2008. ISBN 9780387727431. Disponível em: <http://dx.doi.org/10.1007/978-0-387-72743-1 > _c38474 _d38474