Dettaglio del documento
Basics of nonlinear optimization : around the Weierstrass theorem
Abstract
This textbook gives an introduction to optimization tools which arise around the Weierstrass theorem about the minimum of a lower semicontinuous function. Starting from a Euclidean space, it moves further into the infinite dimensional setting towards the direct variational method, going through differentiation and introducing relevant background information on the way.
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Exercises accompany the text and include observations, remarks, and examples that help understand the presented material. Although some basic knowledge of functional analysis is assumed, covering Hilbert and Banach spaces and the Lebesgue integration, the required background material is covered throughout the text, and literature suggestions are provided. For less experienced readers, a summary of some optimization techniques is also included. (Dal sito dell'editore)
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| eBook | ||
| Monografia | ||
| Description | *Basics of nonlinear optimization : around the Weierstrass theorem / Marek Galewski. - Cham : Birkhäuser, 2024. - 1 testo elettronico (X, 168 p. : ill.) | |
| ISBN E-Book | 9783031771606 | |
| Series | Compact textbooks in mathematics | |
| Author |
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| Subjects | 90C30 - Nonlinear programming [MSC 2020] | |
| Parole chiave |
Boundary Value Problems
Differentiation in Banach Spaces Euler action functional Nonlinear optimization Weierstrass theorem |
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| Publication place | Cham | |
| Publisher | Birkhäuser <editore> | |
| Publication year | 2024 | |
| Thesaurus | 90C30 | |
| Nonlinear programming [MSC 2020] |