000 03451nam a22004935i 4500
001 978-0-387-72743-1
003 DE-He213
005 20181204133002.0
007 cr nn 008mamaa
008 100301s2008 xxu| s |||| 0|eng d
020 _a9780387727431
_9978-0-387-72743-1
024 7 _a10.1007/978-0-387-72743-1
_2doi
040 _aISI Library, Kolkata
050 4 _aQA297-299.4
072 7 _aPBKS
_2bicssc
072 7 _aMAT021000
_2bisacsh
072 7 _aPBKS
_2thema
082 0 4 _a518
_223
100 1 _aArgyros, Ioannis K.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aConvergence and Applications of Newton-type Iterations
_h[electronic resource] /
_cby Ioannis K. Argyros.
264 1 _aNew York, NY :
_bSpringer New York,
_c2008.
300 _aXVI, 56 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_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 _aNumerical analysis.
650 0 _aComputer science
_xMathematics.
650 0 _aFunctional analysis.
650 1 4 _aNumerical Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M14050
650 2 4 _aComputational Mathematics and Numerical Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M1400X
650 2 4 _aFunctional Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12066
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387566122
776 0 8 _iPrinted edition:
_z9781441924926
776 0 8 _iPrinted edition:
_z9780387727417
856 4 0 _uhttps://doi.org/10.1007/978-0-387-72743-1
912 _aZDB-2-SMA
942 _cEB
950 _aMathematics and Statistics (Springer-11649)
999 _c425848
_d425848