Convexity and optimization in R [superscript n] [[electronic resource] /] / Leonard D. Berkovitz

• Record Nr.: UNINA9910829921703321
• Autore: Berkovitz Leonard David <1924->
• Pubbl/distr/stampa: New York, : J. Wiley, c2002
• ISBN: 1-280-36700-8; 9786610367009; 0-470-31182-7; 0-471-46166-0; 0-471-24970-X
• Descrizione fisica: 1 online resource (283 p.)
• Collana: Pure and applied mathematicss
• Disciplina: 516/.08; 519.3
• Soggetti: Convex sets; Mathematical optimization
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references (p. 261-262) and index.
• Nota di contenuto: CONVEXITY AND OPTIMIZATION IN R(n); CONTENTS; Preface; I Topics in Real Analysis; 1. Introduction; 2. Vectors in R(n); 3. Algebra of Sets; 4. Metric Topology of R(n); 5. Limits and Continuity; 6. Basic Property of Real Numbers; 7. Compactness; 8. Equivalent Norms and Cartesian Products; 9. Fundamental Existence Theorem; 10. Linear Transformations; 11. Differentiation in R(n); II Convex Sets in R(n); 1. Lines and Hyperplanes in R(n); 2. Properties of Convex Sets; 3. Separation Theorems; 4. Supporting Hyperplanes: Extreme Points; 5. Systems of Linear Inequalities: Theorems of the Alternative; 6. Affine Geometry7. More on Separation and Support; III Convex Functions; 1. Definition and Elementary Properties; 2. Subgradients; 3. Differentiable Convex Functions; 4. Alternative Theorems for Convex Functions; 5. Application to Game Theory; IV Optimization Problems; 1. Introduction; 2. Differentiable Unconstrained Problems; 3. Optimization of Convex Functions; 4. Linear Programming Problems; 5. First-Order Conditions for Differentiable Nonlinear Programming Problems; 6. Second-Order Conditions; V Convex Programming and Duality; 1. ; Problem Statement; 2. Necessary Conditions and Sufficient Conditions3. Perturbation Theory; 4. Lagrangian Duality; 5. Geometric Interpretation; 6. Quadratic Programming; 7. Duality in Linear Programming; VI Simplex Method; 1. Introduction; 2. Extreme Points of Feasible Set; 3. Preliminaries to Simplex Method; 4. Phase II of Simplex Method; 5. Termination and Cycling; 6. Phase I of Simplex Method; 7. Revised Simplex Method; Bibliography; Index
• Sommario/riassunto: A comprehensive introduction to convexity and optimization in RnThis book presents the mathematics of finite dimensional constrained optimization problems. It provides a basis for the further mathematical study of convexity, of more general optimization problems, and of numerical algorithms for the solution of finite dimensional optimization problems. For readers who do not have the requisite background in real analysis, the author provides a chapter covering this material. The text features abundant exercises and problems designed to lead the reader to a fundamental understanding of t

Democracy derailed in Russia : the failure of open politics / / M. Steven Fish

• Record Nr.: UNINA9910810212103321
• Autore: Fish M. Steven (Michael Steven), <1962->
• Pubbl/distr/stampa: New York, NY, : Cambridge University Press, c2005
• ISBN: 1-139-93127-X; 1-107-15478-2; 1-280-41640-8; 0-511-79106-2; 0-511-18287-2; 0-511-13906-3; 0-511-14072-X; 0-511-30105-7; 0-511-13995-0
• Descrizione fisica: 1 online resource (xviii, 313 pages) : digital, PDF file(s)
• Collana: Cambridge studies in comparative politics
• Disciplina: 320.947
• Soggetti: Democracy - Russia (Federation); Russia (Federation) Politics and government 1991-; Russia (Federation) Economic policy 1991-
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Title from publisher's bibliographic system (viewed on 05 Oct 2015).
• Nota di bibliografia: Includes bibliographical references (p.273-302) and index.
• Nota di contenuto: Cover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Figures and Tables; Acknowledgments; Abbreviations; 1 Introduction; 2 Some Concepts and Their Application to Russia; 3 Symptoms of the Failure of Democracy; 4 The Russian Condition in Global Perspective; 5 The Structural Problem; 6 The Policy Problem; 7 The Institutional Problem; 8 Can Democracy Get Back on Track?; References; Index
• Sommario/riassunto: Why has democracy failed to take root in Russia? After shedding the shackles of Soviet rule, some countries in the postcommunist region undertook lasting democratization. Yet Russia did not. Russia experienced dramatic political breakthroughs in the late 1980s and early 1990s, but it subsequently failed to maintain progress toward democracy. In this book, M. Steven Fish offers an explanation for the direction of regime change in post-Soviet Russia. Relying on cross-national comparative analysis as well as on in-depth field research in Russia, Fish shows that Russia's failure to democratize has three causes: too much economic reliance on oil, too little economic liberalization, and too weak a national legislature. Fish's explanation challenges others that have attributed Russia's political travails to history, political culture, or to 'shock therapy' in economic policy. The book offers a theoretically original and empirically rigorous explanation for one of the most pressing political problems of our time.