Point-to-set Maps and Mathematical Programming

Point-to-set Maps and Mathematical Programming PDF

Author: P. Huard

Publisher:

Published: 1979

Total Pages: 190

ISBN-13: 9780720483000

DOWNLOAD EBOOK →

Differentiable stability in non convex and non differentiable programming; A multivalued approach to the farkas lemma; Extensions of the continuity of point-to-set maps: applications to fixed point algorithms; Composition und union of general algorithms of optimization; Modified lagrangians in convex programming and their generalizations; Extensions of Zangwill's theorem; On the lower semicontinuity of optimal sets in convex parametric optimization; A note on the continuity of the solution set of special dual optimization problems; Asymptotic properties of sequences iteratively generated by point-to-set maps; Generalized equations and their solutions; The fixed point approach to nonlinear programming; Convergence analysis for two-level algorithms of mathematical programming; A comparative study of several general convergence conditions for algorithms modeled by point-to-set maps.

Point-to-set Maps and Mathematical Programming

Point-to-set Maps and Mathematical Programming PDF

Author: P. Huard

Publisher:

Published: 1979

Total Pages: 0

ISBN-13: 9780720483000

DOWNLOAD EBOOK →

Differentiable stability in non convex and non differentiable programming; A multivalued approach to the farkas lemma; Extensions of the continuity of point-to-set maps: applications to fixed point algorithms; Composition und union of general algorithms of optimization; Modified lagrangians in convex programming and their generalizations; Extensions of Zangwill's theorem; On the lower semicontinuity of optimal sets in convex parametric optimization; A note on the continuity of the solution set of special dual optimization problems; Asymptotic properties of sequences iteratively generated by point-to-set maps; Generalized equations and their solutions; The fixed point approach to nonlinear programming; Convergence analysis for two-level algorithms of mathematical programming; A comparative study of several general convergence conditions for algorithms modeled by point-to-set maps.

Mathematical Programming

Mathematical Programming PDF

Author: Michel Minoux

Publisher: John Wiley & Sons

Published: 1986

Total Pages: 526

ISBN-13:

DOWNLOAD EBOOK →

This comprehensive work covers the whole field of mathematical programming, including linear programming, unconstrained and constrained nonlinear programming, nondifferentiable (or nonsmooth) optimization, integer programming, large scale systems optimization, dynamic programming, and optimization in infinite dimensions. Special emphasis is placed on unifying concepts such as point-to-set maps, saddle points and perturbations functions, duality theory and its extensions.

Entropy Optimization and Mathematical Programming

Entropy Optimization and Mathematical Programming PDF

Author: Shu-Cherng Fang

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 350

ISBN-13: 1461561310

DOWNLOAD EBOOK →

Entropy optimization is a useful combination of classical engineering theory (entropy) with mathematical optimization. The resulting entropy optimization models have proved their usefulness with successful applications in areas such as image reconstruction, pattern recognition, statistical inference, queuing theory, spectral analysis, statistical mechanics, transportation planning, urban and regional planning, input-output analysis, portfolio investment, information analysis, and linear and nonlinear programming. While entropy optimization has been used in different fields, a good number of applicable solution methods have been loosely constructed without sufficient mathematical treatment. A systematic presentation with proper mathematical treatment of this material is needed by practitioners and researchers alike in all application areas. The purpose of this book is to meet this need. Entropy Optimization and Mathematical Programming offers perspectives that meet the needs of diverse user communities so that the users can apply entropy optimization techniques with complete comfort and ease. With this consideration, the authors focus on the entropy optimization problems in finite dimensional Euclidean space such that only some basic familiarity with optimization is required of the reader.

Sequence Transformations

Sequence Transformations PDF

Author: Jean-Paul Delahaye

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 262

ISBN-13: 3642613470

DOWNLOAD EBOOK →

The book gives a very clear and concise summary of the important fields of sequence transformations and convergence acceleration methods. Some of the outstanding features are: - precise definitions of algorithmic sequence transformations, - a study of the power of sequence transformations, - proof of negative results on acceleration methods (namely, that some sequence families are not accelerable), - new algorithms for convergence acceleration (in particular automatic selection procedures). For researchers and graduate students working in or with convergence acceleration methods and sequence transformations, this book is sure to become an important tool. This book is a contribution to the theory and practice of convergence acceleration methods. It gives a new survey point of view on the subject, with positive results (new method of acceleration) and negative results (proofs that some sequence families are not accelerable).

Mathematical Programming with Data Perturbations

Mathematical Programming with Data Perturbations PDF

Author: Anthony V. Fiacco

Publisher: CRC Press

Published: 2020-09-24

Total Pages: 460

ISBN-13: 1000153665

DOWNLOAD EBOOK →

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.

Mathematical Programming for Operations Researchers and Computer Scientists

Mathematical Programming for Operations Researchers and Computer Scientists PDF

Author: Albert G. Holzman

Publisher: CRC Press

Published: 2020-11-26

Total Pages: 393

ISBN-13: 100014612X

DOWNLOAD EBOOK →

This book covers the fundamentals of linear programming, extension of linear programming to discrete optimization methods, multi-objective functions, quadratic programming, geometric programming, and classical calculus methods for solving nonlinear programming problems.