| 000 | 02572nam a22004455i 4500 | ||
|---|---|---|---|
| 001 | 978-3-540-71333-3 | ||
| 003 | DE-He213 | ||
| 005 | 20161121231130.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2007 gw | s |||| 0|eng d | ||
| 020 |
_a9783540713333 _9978-3-540-71333-3 |
||
| 024 | 7 |
_a10.1007/978-3-540-71333-3 _2doi |
|
| 050 | 4 | _aQA299.6-433 | |
| 072 | 7 |
_aPBK _2bicssc |
|
| 072 | 7 |
_aMAT034000 _2bisacsh |
|
| 082 | 0 | 4 |
_a515 _223 |
| 100 | 1 |
_aSchirotzek, Winfried. _eauthor. |
|
| 245 | 1 | 0 |
_aNonsmooth Analysis _h[electronic resource] / _cby Winfried Schirotzek. |
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2007. |
|
| 300 |
_aXII, 378 p. 31 illus. _bonline resource. |
||
| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 | _aUniversitext | |
| 505 | 0 | _aPreliminaries -- The Conjugate of Convex Functionals -- Classical Derivatives -- The Subdifferential of Convex Functionals -- Optimality Conditions for Convex Problems -- Duality of Convex Problems -- Derivatives and Subdifferentials of Lipschitz Functionals -- Variational Principles -- Subdifferentials of Lower Semicontinuous Functionals -- Multifunctions -- Tangent and Normal Cones -- Optimality Conditions for Nonconvex Problems -- Extremal Principles and More Normals and Subdifferentials. | |
| 520 | _aThe book treats various concepts of generalized derivatives and subdifferentials in normed spaces, their geometric counterparts (tangent and normal cones) and their application to optimization problems. It starts with the subdifferential of convex analysis, passes to corresponding concepts for locally Lipschitz continuous functions and finally presents subdifferentials for general lower semicontinuous functions. All basic tools are presented where they are needed; this concerns separation theorems, variational and extremal principles as well as relevant parts of multifunction theory. The presentation is rigorous, with detailed proofs. Each chapter ends with bibliographic notes and exercises. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 0 | _aMathematical analysis. | |
| 650 | 0 | _aAnalysis (Mathematics). | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aAnalysis. |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540713326 |
| 830 | 0 | _aUniversitext | |
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-3-540-71333-3 |
| 912 | _aZDB-2-SMA | ||
| 950 | _aMathematics and Statistics (Springer-11649) | ||
| 999 |
_c509057 _d509057 |
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