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100   $a20140307d2014      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt
182   $cc
183   $acr
200 10$aNewton-Type Methods for Optimization and Variational Problems /$fby Alexey F. Izmailov, Mikhail V. Solodov
205   $a1st ed. 2014.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014.
215   $a1 online resource (587 pages) $cillustrations
225 1 $aSpringer Series in Operations Research and Financial Engineering,$x1431-8598
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-319-04246-7 
320   $aIncludes bibliographical references and index.
327   $a1. Elements of optimization theory and variational analysis -- 2. Equations and unconstrained optimization -- 3. Variational problems: local methods -- 4. Constrained optimization: local methods -- 5. Variational problems: globalization of convergence -- 6. Constrained optimization: globalization of convergence -- 7. Degenerate problems with non-isolated solutions -- A. Miscellaneous material.
330   $aThis book presents comprehensive state-of-the-art theoretical analysis of the fundamental Newtonian and Newtonian-related approaches to solving optimization and variational problems. A central focus is the relationship between the basic Newton scheme for a given problem and algorithms that also enjoy fast local convergence. The authors develop general perturbed Newtonian frameworks that preserve fast convergence and consider specific algorithms as particular cases within those frameworks, i.e., as perturbations of the associated basic Newton iterations. This approach yields a set of tools for the unified treatment of various algorithms, including some not of the Newton type per se. Among the new subjects addressed is the class of degenerate problems. In particular, the phenomenon of attraction of Newton iterates to critical Lagrange multipliers and its consequences as well as stabilized Newton methods for variational problems and stabilized sequential quadratic programming for optimization. This volume will be useful to researchers and graduate students in the fields of optimization and variational analysis.
410  0$aSpringer Series in Operations Research and Financial Engineering,$x1431-8598
606   $aOperations research
606   $aManagement science
606   $aMathematical optimization
606   $aOperations Research, Management Science$3https://scigraph.springernature.com/ontologies/product-market-codes/M26024
606   $aContinuous Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26030
606   $aOptimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26008
615  0$aOperations research.
615  0$aManagement science.
615  0$aMathematical optimization.
615 14$aOperations Research, Management Science.
615 24$aContinuous Optimization.
615 24$aOptimization.
676   $a515.64
700   $aIzmailov$b Alexey F$4aut$4http://id.loc.gov/vocabulary/relators/aut$0721639
702   $aSolodov$b Mikhail V$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910300154803321
996   $aNewton-Type Methods for Optimization and Variational Problems$92547187
997   $aUNINA