Mathematical Programming with Data Perturbations
Mathematical Programming with Data Perturbations

Author: Anthony V. Fiacco

Publisher: CRC Press

Published: 2020-09-23

Total Pages: 456

ISBN-13: 1000117111

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Presents research contributions and tutorial expositions on current methodologies for sensitivity, stability and approximation analyses of mathematical programming and related problem structures involving parameters. The text features up-to-date findings on important topics, covering such areas as the effect of perturbations on the performance of algorithms, approximation techniques for optimal control problems, and global error bounds for convex inequalities.

Approximation and Optimization in the Caribbean II
Approximation and Optimization in the Caribbean II

Author:

Publisher: Peter Lang Publishing

Published: 1995

Total Pages: 704

ISBN-13:

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The volume contains original articles and survey papers on approximation theory (e.g. approximation by polynomial and rational functions, approximation by operators, orthogonal polynomials, meromorphic functions), optimization (e.g. integer, nonlinear, quadratic, multi-objective, fractional, semi-infinite), control theory (e.g. singular control problems), equations and inequalities (e.g. complexity), mathematical economy (e.g. core theory, infinite horizon economics), and shows the relations among these topics.

Parametric Optimization and Related Topics III
Parametric Optimization and Related Topics III

Author: Jürgen Guddat

Publisher: Peter Lang Gmbh, Internationaler Verlag Der Wissenschaften

Published: 1993

Total Pages: 576

ISBN-13:

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This volume contains the proceedings of the third conference on Parametric Optimization and Related Topics, held in Gustrow from 30 August until 5 September, 1991. Parametric optimization, as a part of mathematical programming, investigates the behaviour of solutions to optimization problems under data pertubations. This behaviour, like continuity and differentiability, plays a fundamental role for a series of further questions that are of interest from a practical as well as a theoretical point of view. Many relations to other disciplines of operations research, like stochastic programming, modelbuilding, numerical methods, multiobjective optimization and optimal control, originate from this behaviour. The presented articles (all refereed) are topical and original papers reflecting recent results to current directions of research in theory and applications."

Stable Methods for III-Posed Variational Problems
Stable Methods for III-Posed Variational Problems

Author: Alexander Kaplan

Publisher: Wiley-VCH

Published: 1994-09-13

Total Pages: 448

ISBN-13:

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Iterative prox-regularization methods for solving ill-posed convex variational problems in Hilbert spaces are subject of this book. A general framework is developed to analyse simultaneously procedures of regularization and successively refined discretization in connection with specific optimization methods for solving the discrete problems. This allows an efficient control of the solution process as a whole. In the first part of the book various methods for treating ill-posed problems are presented, including a study of the regularizing properties of a number of specific optimization algorithms. In the second part, a new class of multi-step methods is introduced which is based on a generalization of the iterative prox-regularization concept. Compared with former methods these new methods permit a more effective use of rough approximations of the infinite dimensional problems and consequently an acceleration of the numerical process. Special versions of these methods are given for ill-posed convex semi-infinite optimization problems and elliptic variational inequalities with weakly coercive operators, including some problems in elasticity theory.