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020 _a9780387727431
_99780387727431
024 7 _a10.1007/9780387727431
_2doi
035 _avtls000332292
039 9 _a201509030758
_bVLOAD
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040 _aMX-SnUAN
_bspa
_cMX-SnUAN
_erda
100 1 _aArgyros, Ioannis K.
_eautor
_9305310
245 1 0 _aConvergence and Applications of Newton-type Iterations /
_cby Ioannis K. Argyros.
264 1 _aNew York, NY :
_bSpringer New York,
_c2008.
300 _brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
500 _aSpringer eBooks
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.
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9780387727417
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-387-72743-1
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999 _c280407
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