LEADER 01009nam0 22002531i 450 001 UON00205423 005 20231205103311.496 100 $a20030730d19301932 |0itac50 ba 101 $afre 102 $aFR 105 $a|||| ||||| 200 1 $a Constantinople et les detroits$fpar A. de Lapradelle$gL. Eisenmann$gB. Mirkine 210 $aParis$cLes Editions Internationales$d1930-1932. v. 2 ; 25 cm. 620 $aFR$dParis$3UONL002984 700 1$aLAPRADELLE$bA. de$3UONV122973$0681310 701 1$aEISENMANN$bL.$3UONV122974$0129499 701 1$aMIRKINE$bB.$3UONV122975$0681374 712 $aLes Editions Internationales$3UONV267489$4650 801 $aIT$bSOL$c20240220$gRICA 899 $aSIBA - SISTEMA BIBLIOTECARIO DI ATENEO$2UONSI 912 $aUON00205423 950 $aSIBA - SISTEMA BIBLIOTECARIO DI ATENEO$dSI IV POL A 0181 $eSI MR 2382/1 5 0181 996 $aConstantinople et les detroits$91257397 997 $aUNIOR LEADER 03223nam 2200529Ia 450 001 9910739475303321 005 20200520144314.0 010 $a1-4614-8042-6 024 7 $a10.1007/978-1-4614-8042-6 035 $a(OCoLC)857280006 035 $a(MiFhGG)GVRL6YBL 035 $a(CKB)3710000000015783 035 $a(MiAaPQ)EBC1398506 035 $a(EXLCZ)993710000000015783 100 $a20111102d2013 uy 0 101 0 $aeng 135 $aurun|---uuuua 181 $ctxt 182 $cc 183 $acr 200 10$aIntroduction to global optimization exploiting space-filling curves /$fYaroslav D. Sergeyev, Roman G. Strongin, Daniela Lera 205 $a1st ed. 2013. 210 $aNew York $cSpringer$d2013 215 $a1 online resource (x, 125 pages) $cillustrations (some color) 225 0$aSpringerBriefs in optimization 300 $a"ISSN: 2190-8354." 300 $a"ISSN: 2191-575X (electronic)." 311 $a1-4614-8041-8 320 $aIncludes bibliographical references. 327 $a1. Introduction -- 2. Approximations to Peano curves -- 3. Global optimization algorithms using curves to reduce dimensionality of the problem -- 4. Ideas for acceleration -- 5. A brief conclusion -- References. 330 $aIntroduction to Global Optimization Exploiting Space-Filling Curves provides an overview of classical and new results pertaining to the usage of space-filling curves in global optimization. The authors look at a family of derivative-free numerical algorithms applying space-filling curves to reduce the dimensionality of the global optimization problem; along with a number of unconventional ideas, such as adaptive strategies for estimating Lipschitz constant, balancing global and local information to accelerate the search. Convergence conditions of the described algorithms are studied in depth and theoretical considerations are illustrated through numerical examples. This work also contains a code for implementing space-filling curves that can be used for constructing new global optimization algorithms. Basic ideas from this text can be applied to a number of problems including problems with multiextremal and partially defined constraints and non-redundant parallel computations can be organized. Professors, students, researchers, engineers, and other professionals in the fields of pure mathematics, nonlinear sciences studying fractals, operations research, management science, industrial and applied mathematics, computer science, engineering, economics, and the environmental sciences will find this title useful . . 410 0$aSpringerBriefs in optimization. 606 $aCurves$xMathematical models 606 $aCurves on surfaces$xMathematical models 615 0$aCurves$xMathematical models. 615 0$aCurves on surfaces$xMathematical models. 676 $a519.6 700 $aSergeyev$b Yaroslav D.$f1963-$01755455 701 $aStrongin$b Roman G$0724333 701 $aLera$b Daniela$01755456 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910739475303321 996 $aIntroduction to global optimization exploiting space-filling curves$94192236 997 $aUNINA