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Topological Aspects of Nonsmooth Optimization
This book deals with nonsmooth structures arising within the optimization setting. It considers four optimization problems, namely, mathematical programs with complementarity constraints, general semi-infinite programming problems, mathematical programs with vanishing constraints and bilevel optimiz...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York, NY :
Springer New York : Imprint: Springer,
2012.
|
| Edición: | 1st ed. 2012. |
| Colección: | Nonconvex Optimization and Its Applications ;
64 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 024 | 7 | |a 10.1007/978-1-4614-1897-9 |2 doi | |
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| 082 | 0 | 4 | |a 519.6 |2 23 |
| 100 | 1 | |a Shikhman, Vladimir. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Topological Aspects of Nonsmooth Optimization |h [electronic resource] / |c by Vladimir Shikhman. |
| 250 | |a 1st ed. 2012. | ||
| 264 | 1 | |a New York, NY : |b Springer New York : |b Imprint: Springer, |c 2012. | |
| 300 | |a XII, 196 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Nonconvex Optimization and Its Applications ; |v 64 | |
| 505 | 0 | |a Preface. -Notation -- Introduction -- Mathematical Programming Problems with Complementarity -- Constraints -- General Semi-infinite Programming Problems -- Mathematical Programming Problems with Vanishing Constraints -- Bilevel Optimization -- Impacts on Nonsmooth Analysis -- Appendix -- Bibliography -- References -- Index. | |
| 520 | |a This book deals with nonsmooth structures arising within the optimization setting. It considers four optimization problems, namely, mathematical programs with complementarity constraints, general semi-infinite programming problems, mathematical programs with vanishing constraints and bilevel optimization. The author uses the topological approach and topological invariants of corresponding feasible sets are investigated. Moreover, the critical point theory in the sense of Morse is presented and parametric and stability issues are considered. The material progresses systematically and establishes a comprehensive theory for a rather broad class of optimization problems tailored to their particular type of nonsmoothness. Topological Aspects of Nonsmooth Optimization will benefit researchers and graduate students in applied mathematics, especially those working in optimization theory, nonsmooth analysis, algebraic topology and singularity theory. | ||
| 650 | 0 | |a Mathematical optimization. | |
| 650 | 0 | |a Functional analysis. | |
| 650 | 1 | 4 | |a Optimization. |
| 650 | 2 | 4 | |a Continuous Optimization. |
| 650 | 2 | 4 | |a Functional Analysis. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9781493900695 |
| 776 | 0 | 8 | |i Printed edition: |z 9781461418986 |
| 776 | 0 | 8 | |i Printed edition: |z 9781461418962 |
| 830 | 0 | |a Nonconvex Optimization and Its Applications ; |v 64 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-1-4614-1897-9 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||