Parametric Optimization: Singularities, Pathfollowing and Jumps.pdf

Parametric Optimization: Singularities, Pathfollowing and Jumps

J. Guddat

This volume is intended for readers who, whether they be mathematicians, workers in other fields or students, are familiar with the basic approaches and methods of mathematical optimization. The subject matter is concerned with optimization problems in which some or all of the individual data involved depend on one parameter. Such problems are called one-parametric optimization problems. Solution algorithms for such problems are of interest for several reasons. We consider here mainly applications of solution algorithms for one-parametric optimization problems in the following fields: (i) globally convergent algorithms for nonlinear, in particular non-convex, optimization problems, (ii) global optimization, (iii) multi-objective optimization. The main tool for a solution algorithm for a one-parametric optimization problem will be the so-called pathfollowing methods (also called continuation or homotopy methods) (cf. Chapters 3 and 4). Classical methods in the set of stationary points will be extended to the set of all generalized critical points. This could be helpful since the path of stationary points stops in this set, but there is a continuation in the broader set of generalized critical points. However, it will be shown that pathfollowing methods only are not successful in every case. This is the reason why we propose to jump from one connected component in the set of local minimizers and generalized critical points, respectively, to another one (Chapter 5).

Low et al. present in [3] the following basic distributed optimization algorithm for ... by using a pathfollowing method on the parametric optimization problem [32]. ... Guerra, V.F. Parametric Optimization: Singularities, Pathfollowing and Jumps; ... 14 Mar 2019 ... such as loss of stability, amplitude jumps or generation of ISs that can lead to unexpected behavior. ... Since then, multi-parametric optimization was coupled with continuation, Kernevez et al. ... The same singularity theory was used by Cirillo et al. ... Parametric optimization: pathfollowing with jumps.

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Parametric Optimization: Singularities, Pathfollowing and Jumps.pdf

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Sofia Voigt

Parametric Optimization: Singularities, Pathfollowing and Jumps (German Edition) | J. Guddat, F. Guerra Vazquez, H. Th. Jongen | ISBN: 9783519021124 | Kostenloser

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Matteo Müller

033104220 1994-06-09 2020-01-09T08:59:53 Parametric optimization : singularities, Pathfollowing and jumps / J. Guddat and F. Guerra Vazquez with H. Th. Jongen, 1990 LCNA (CD OCLC), 1994-03 12400450 0000000116313747 Guddat, Jürgen (mathématicien) Guddat, Jürgen Guddat Jürgen Écrit aussi en anglais Mathématicien Multiobjective and stochastic optimization based on parametric optimization

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Parametric Optimization: Singularities, Pathfollowing and Jumps | Jürgen Guddat, F. Guerra Vazquez, H. Th. Jongen | ISBN: 9780471928072 | Kostenloser Versand für

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Parametric Optimization: Singularities, … Parametric Optimization: Singularities, Pathfollowing and Jumps: J. Guddat, F. Guerra Vazquez, H. Th. Jongen: 9783519021124: Books - Amazon.ca

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Parametric Optimization : Singularities, Pathfollowing and Jumps By author J Guddat published on December, 1990: Amazon.es: J Guddat: Libros. Saltar al contenido principal . Prueba Prime Hola, Identifícate Cuenta y listas Identifícate Cuenta y listas Devoluciones y Pedidos Parametric Optimization: Singularities, …