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010   $a981-15-0894-1
024 7 $a10.1007/978-981-15-0894-3
035   $a(CKB)4100000010013748
035   $a(MiAaPQ)EBC5997238
035   $a(DE-He213)978-981-15-0894-3
035   $a(PPN)242817890
035   $a(EXLCZ)994100000010013748
100   $a20191217d2019      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aIntroduction to Unconstrained Optimization with R /$fby Shashi Kant Mishra, Bhagwat Ram
205   $a1st ed. 2019.
210  1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2019.
215   $a1 online resource (309 pages) $cillustrations
311 08$a981-15-0893-3 
320   $aIncludes bibliographical references and index.
327   $a1. Introduction -- 2. Mathematical Foundations -- 3. Basics of R -- 4. First Order and Second Order Necessary Conditions -- 5. One Dimensional Optimization Methods -- 6. Steepest Descent Method -- 7. Newton?s Method -- 8. Conjugate Direction Methods -- 9. Quasi-Newton Methods.
330   $aThis book discusses unconstrained optimization with R ? a free, open-source computing environment, which works on several platforms, including Windows, Linux, and macOS. The book highlights methods such as the steepest descent method, Newton method, conjugate direction method, conjugate gradient methods, quasi-Newton methods, rank one correction formula, DFP method, BFGS method and their algorithms, convergence analysis, and proofs. Each method is accompanied by worked examples and R scripts. To help readers apply these methods in real-world situations, the book features a set of exercises at the end of each chapter. Primarily intended for graduate students of applied mathematics, operations research and statistics, it is also useful for students of mathematics, engineering, management, economics, and agriculture.
606   $aMathematical optimization
606   $aMathematics$xData processing
606   $aOptimization
606   $aComputational Mathematics and Numerical Analysis
615  0$aMathematical optimization.
615  0$aMathematics$xData processing.
615 14$aOptimization.
615 24$aComputational Mathematics and Numerical Analysis.
676   $a516.36
700   $aMishra$b Shashi Kant$4aut$4http://id.loc.gov/vocabulary/relators/aut$0472378
702   $aRam$b Bhagwat$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910364956203321
996   $aIntroduction to Unconstrained Optimization with R$92544822
997   $aUNINA