000 | 03513nam a22005295i 4500 | ||
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001 | 978-3-540-47644-3 | ||
003 | DE-He213 | ||
005 | 20190213151210.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1993 gw | s |||| 0|eng d | ||
020 |
_a9783540476443 _9978-3-540-47644-3 |
||
024 | 7 |
_a10.1007/BFb0084195 _2doi |
|
050 | 4 | _aQ295 | |
050 | 4 | _aQA402.3-402.37 | |
072 | 7 |
_aGPFC _2bicssc |
|
072 | 7 |
_aSCI064000 _2bisacsh |
|
072 | 7 |
_aGPFC _2thema |
|
082 | 0 | 4 |
_a519 _223 |
100 | 1 |
_aDontchev, Asen L. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aWell-Posed Optimization Problems _h[electronic resource] / _cby Asen L. Dontchev, Tullio Zolezzi. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1993. |
|
300 |
_aXII, 424 p. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
||
337 |
_acomputer _bc _2rdamedia |
||
338 |
_aonline resource _bcr _2rdacarrier |
||
347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1543 |
|
505 | 0 | _aTykhonov well-posedness -- Hadamard and tykhonov well-posedness -- Generic well-posedness -- Well-posedness and variational, epi- and mosco convergences -- Well-posedness in optimal control -- Relaxation and value hadamard well-posedness in optimal control -- Singular perturbations in optimal control -- Well-posedness in the calculus of variations -- Hadamard well-posedness in mathematical programming. | |
520 | _aThis book presents in a unified way the mathematical theory of well-posedness in optimization. The basic concepts of well-posedness and the links among them are studied, in particular Hadamard and Tykhonov well-posedness. Abstract optimization problems as well as applications to optimal control, calculus of variations and mathematical programming are considered. Both the pure and applied side of these topics are presented. The main subject is often introduced by heuristics, particular cases and examples. Complete proofs are provided. The expected knowledge of the reader does not extend beyond textbook (real and functional) analysis, some topology and differential equations and basic optimization. References are provided for more advanced topics. The book is addressed to mathematicians interested in optimization and related topics, and also to engineers, control theorists, economists and applied scientists who can find here a mathematical justification of practical procedures they encounter. | ||
650 | 0 | _aSystems theory. | |
650 | 0 | _aMathematical optimization. | |
650 | 0 | _aEconomic theory. | |
650 | 1 | 4 |
_aSystems Theory, Control. _0http://scigraph.springernature.com/things/product-market-codes/M13070 |
650 | 2 | 4 |
_aCalculus of Variations and Optimal Control; Optimization. _0http://scigraph.springernature.com/things/product-market-codes/M26016 |
650 | 2 | 4 |
_aEconomic Theory/Quantitative Economics/Mathematical Methods. _0http://scigraph.springernature.com/things/product-market-codes/W29000 |
700 | 1 |
_aZolezzi, Tullio. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662188033 |
776 | 0 | 8 |
_iPrinted edition: _z9783540567370 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1543 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0084195 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c9857 _d9857 |