04500nam a22005895i 4500
978-3-540-35447-5
DE-He213
20181204131311.0
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100301s2006 gw | s |||| 0|eng d
9783540354475
978-3-540-35447-5
10.1007/978-3-540-35447-5
doi
ISI Library, Kolkata
QA402.5-402.6
PBU
bicssc
MAT003000
bisacsh
PBU
thema
519.6
23
Bonnans, J. Frédéric.
author.
aut
http://id.loc.gov/vocabulary/relators/aut
Numerical Optimization
[electronic resource] :
Theoretical and Practical Aspects /
by J. Frédéric Bonnans, J. Charles Gilbert, Claude Lemaréchal, Claudia A. Sagastizábal.
Berlin, Heidelberg :
Springer Berlin Heidelberg,
2006.
XIV, 494 p.
online resource.
text
txt
rdacontent
computer
c
rdamedia
online resource
cr
rdacarrier
text file
PDF
rda
Universitext,
0172-5939
Unconstrained Problems -- General Introduction -- Basic Methods -- Line-Searches -- Newtonian Methods -- Conjugate Gradient -- Special Methods -- A Case Study: Seismic Reection Tomography -- Nonsmooth Optimization -- to Nonsmooth Optimization -- Some Methods in Nonsmooth Optimization -- Bundle Methods. The Quest for Descent -- Applications of Nonsmooth Optimization -- Computational Exercises -- Newton's Methods in Constrained Optimization -- Background -- Local Methods for Problems with Equality Constraints -- Local Methods for Problems with Equality and InequalityConstraints -- Exact Penalization -- Globalization by Line-Search -- Quasi-Newton Versions -- Interior-Point Algorithms for Linear and QuadraticOptimization -- Linearly Constrained Optimization and SimplexAlgorithm -- Linear Monotone Complementarity and Associated Vector Fields -- Predictor-Corrector Algorithms -- Non-Feasible Algorithms -- Self-Duality -- One-Step Methods -- Complexity of Linear Optimization Problems with Integer Data -- Karmarkar's Algorithm.
Just as in its 1st edition, this book starts with illustrations of the ubiquitous character of optimization, and describes numerical algorithms in a tutorial way. It covers fundamental algorithms as well as more specialized and advanced topics for unconstrained and constrained problems. Most of the algorithms are explained in a detailed manner, allowing straightforward implementation. Theoretical aspects of the approaches chosen are also addressed with care, often using minimal assumptions. This new edition contains computational exercises in the form of case studies which help understanding optimization methods beyond their theoretical, description, when coming to actual implementation. Besides, the nonsmooth optimization part has been substantially reorganized and expanded.
Mathematical optimization.
Numerical analysis.
Computer software.
Computer science.
Optimization.
http://scigraph.springernature.com/things/product-market-codes/M26008
Operations Research, Management Science.
http://scigraph.springernature.com/things/product-market-codes/M26024
Calculus of Variations and Optimal Control; Optimization.
http://scigraph.springernature.com/things/product-market-codes/M26016
Numerical Analysis.
http://scigraph.springernature.com/things/product-market-codes/M14050
Algorithm Analysis and Problem Complexity.
http://scigraph.springernature.com/things/product-market-codes/I16021
Mathematics of Computing.
http://scigraph.springernature.com/things/product-market-codes/I17001
Gilbert, J. Charles.
author.
aut
http://id.loc.gov/vocabulary/relators/aut
Lemaréchal, Claude.
author.
aut
http://id.loc.gov/vocabulary/relators/aut
Sagastizábal, Claudia A.
author.
aut
http://id.loc.gov/vocabulary/relators/aut
SpringerLink (Online service)
Springer eBooks
Printed edition:
9783540825739
Printed edition:
9783540354451
Universitext,
0172-5939
https://doi.org/10.1007/978-3-540-35447-5
ZDB-2-SMA
EB
Mathematics and Statistics (Springer-11649)
425239
425239