Produktbild: Quadratic Programming and Affine Variational Inequalities
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Quadratic Programming and Affine Variational Inequalities A Qualitative Study

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Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

23.02.2005

Abbildungen

XIV, 346 p.

Verlag

Springer Us

Seitenzahl

346

Maße (L/B/H)

24,1/16/2,5 cm

Gewicht

711 g

Sprache

Englisch

ISBN

978-0-387-24277-4

Beschreibung

Rezension

From the reviews:



"This book presents a detailed exposition of qualitative results for quadratic programming (QP) and affine variational inequalities (AVI). Both topics are developed into a unifying approach." (Walter Gómez Bofill, Zentralblatt MATH, Vol. 1092 (18), 2006)


"This book presents a theory of qualitative aspects of nonconvex quadratic programs and affine variational inequalities. … Applications to fractional vector optimization problems and traffic equilibrium problems are discussed, too. The book is a valuable collection of many basic ideas and results for these classes of problems, and it may be recommended to researchers and advanced students not only in the field of optimization, but also in other fields of applied mathematics." (D. Klatte, Mathematical Reviews, Issue 2006 e)


"This book presents a qualitative study of nonconvex quadratic programs and affine variational inequalities. … Most of the proofs are presented in a detailed and elementary way. … Whenever possible, the authors give examples illustrating their results. … In summary, this book can be recommended for advanced students in applied mathematics due to the clear and elementary style of presentation. … this book can be serve as an interesting reference for researchers in the field of quadratic programming, finite dimensional variational inequalities and complementarity problems." (M. Stingl, Mathemataical Methods of Operations Research, Vol. 65, 2007)

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

23.02.2005

Abbildungen

XIV, 346 p.

Verlag

Springer Us

Seitenzahl

346

Maße (L/B/H)

24,1/16/2,5 cm

Gewicht

711 g

Sprache

Englisch

ISBN

978-0-387-24277-4

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: GPSR Kontakt

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  • Produktbild: Quadratic Programming and Affine Variational Inequalities
  • Quadratic Programming Problems.- Existence Theorems for Quadratic Programs.- Necessary and Sufficient Optimality Conditions for Quadratic Programs.- Properties of the Solution Sets of Quadratic Programs.- Affine Variational Inequalities.- Solution Existence for Affine Variational Inequalities.- Upper-Lipschitz Continuity of the Solution Map in Affine Variational Inequalities.- Linear Fractional Vector Optimization Problems.- The Traffic Equilibrium Problem.- Upper Semicontinuity of the KKT Point Set Mapping.- Lower Semicontinuity of the KKT Point Set Mapping.- Continuity of the Solution Map in Quadratic Programming.- Continuity of the Optimal Value Function in Quadratic Programming.- Directional Differentiability of the Optimal Value Function.- Quadratic Programming under Linear Perturbations: I. Continuity of the Solution Maps.- Quadratic Programming under Linear Perturbations: II. Properties of the Optimal Value Function.- Quadratic Programming under Linear Perturbations: III. The Convex Case.- Continuity of the Solution Map in Affine Variational Inequalities.