000			03019nam a22004215i 4500
001			978-0-387-72743-1
003			DE-He213
005			20250710084015.0
007			cr nn 008mamaa
008			100301s2008 xxu| s |||| 0|eng d
020			_a9780387727431 _a99780387727431
024	7		_a10.1007/978-0-387-72743-1 _2doi
100	1		_aArgyros, Ioannis K. _eauthor.
245	1	0	_aConvergence and Applications of Newton-type Iterations _h[recurso electrónico] / _cby Ioannis K. Argyros.
264		1	_aNew York, NY : _bSpringer New York, _c2008.
300			_bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aOperators 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: Improving Error Bounds and Weakening of Convergence Conditions -- Point to Set Mappings -- The Newton Kantorovich Theorem and Mathematical Programming.
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.
650		0	_aFUNCTIONAL ANALYSIS.
650		0	_aCOMPUTER SCIENCE _xMATHEMATICS.
650		0	_aNUMERICAL ANALYSIS.
650	1	4	_aMATHEMATICS.
650	2	4	_aFUNCTIONAL ANALYSIS.
650	2	4	_aCOMPUTATIONAL MATHEMATICS AND NUMERICAL ANALYSIS.
650	2	4	_aNUMERICAL ANALYSIS.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387727417
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-387-72743-1 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c58391 _d58391