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1.

図書

図書
Andrzej Ruszczyński
出版情報: Princeton, N.J. : Princeton University Press, c2006  xii, 448 p. ; 24 cm
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2.

図書

図書
Michael D. Intriligator
出版情報: Philadelphia, Pa : Society for Industrial and Applied Mathematics, c2002  xix, 508 p. ; 23 cm
シリーズ名: Classics in applied mathematics ; 39
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目次情報: 続きを見る
Preface to the Classics Edition
Preface
Introduction / Part 1:
Economizing and the Economy / 1:
The Economizing Problem / 1.1:
Institutions of the Economy / 1.2:
Economics / 1.3:
Static Optimization / Part 2:
The Mathematical Programming Problem / 2:
Formal Statement of the Problem / 2.1:
Types of Maxima, the Weierstrass Theorem, and the Local-Global Theorem / 2.2:
Geometry of the Problem / 2.3:
Classical Programming / 3:
The Unconstrained Case / 3.1:
The Method of Lagrange Multipliers / 3.2:
The Interpretation of the Lagrange Multipliers / 3.3:
Problems
Nonlinear Programming / 4:
The Case of No Inequality Constraints / 4.1:
The Kuhn-Tucker Conditions / 4.2:
The Kuhn-Tucker Theorem / 4.3:
Solution Algorithms / 4.4:
Linear Programming / 5:
The Dual Problems of Linear Programming / 5.1:
The Lagrangian Approach; Existence, Duality and Complementary Slackness Theorems / 5.2:
The Interpretation of the Dual / 5.3:
The Simplex Algorithm / 5.4:
Game Theory / 6:
Classification and Description of Games / 6.1:
Two-person, Zero-sum Games / 6.2:
Two-person Nonzero-sum Games / 6.3:
Cooperative Games / 6.4:
Games With Infinitely Many Players / 6.5:
Applications of Static Optimization / Part 3:
Theory of the Household / 7:
Commodity Space / 7.1:
The Preference Relation / 7.2:
The Neoclassical Problem of the Household / 7.3:
Comparative Statics of the Household / 7.4:
Revealed Preference / 7.5:
von Neumann-Morgenstern Utility / 7.6:
Theory of the Firm / 8:
The Production Function / 8.1:
The Neoclassical Theory of the Firm / 8.2:
Comparative Statics of the Firm / 8.3:
Imperfect Competition: Monopoly and Monopsony / 8.4:
Competition Among the Few: Oligopoly and Oligopsony / 8.5:
General Equilibrium / 9:
The Classical Approach: Counting Equations and Unknowns / 9.1:
The Input-Output Linear Programming Approach / 9.2:
The Neoclassical Excess Demand Approach / 9.3:
Stability of Equilibrium / 9.4:
The von Neumann Model of an Expanding Economy / 9.5:
Welfare Economics / 10:
The Geometry of the Problem in the 2 x 2 x 2 Case / 10.1:
Competitive Equilibrium and Pareto Optimality / 10.2:
Market Failure / 10.3:
Optimality Over Time / 10.4:
Dynamic Optimization / Part 4:
The Control Problem / 11:
Some Special Cases / 11.1:
Types of Control / 11.3:
The Control Problem as One of Programming in an Infinite Dimensional Space; the Generalized Weierstrass Theorem / 11.4:
Calculus of Variations / 12:
Euler Equation / 12.1:
Necessary Conditions / 12.2:
Transversality Condition / 12.3:
Constraints / 12.4:
Dynamic Programming / 13:
The Principle of Optimality and Bellman's Equation / 13.1:
Dynamic Programming and the Calculus of Variations / 13.2:
Dynamic Programming Solution of Multistage Optimization Problems / 13.3:
Maximum Principle / 14:
Costate Variables, the Hamiltonian, and the Maximum Principle / 14.1:
The Interpretation of the Costate Variables / 14.2:
The Maximum Principle and the Calculus of Variations / 14.3:
The Maximum Principle and Dynamic Programming / 14.4:
Examples / 14.5:
Differential Games / 15:
Two-Person Deterministic Continuous Differential Games / 15.1:
Two-Person Zero-Sum Differential Games / 15.2:
Pursuit Games / 15.3:
Coordination Differential Games / 15.4:
Noncooperative Differential Games / 15.5:
APPLICATIONS OF DYNAMIC OPTIMIZATION / Part 5:
Optimal Economic Growth / 16:
The Neoclassical Growth Model / 16.1:
Neoclassical Optimal Economic Growth / 16.2:
The Two Sector Growth Model / 16.3:
Heterogeneous Capital Goods / 16.4:
Appendices
Analysis / Appendix A:
Sets / A.1:
Relations and Functions / A.2:
Metric Spaces / A.3:
Vector Spaces / A.4:
Convex Sets and Functions / A.5:
Differential Calculus / A.6:
Differential Equations / A.7:
Matrices / Appendix B:
Basic Definitions and Examples / B.1:
Some Special Matrices / B.2:
Matrix Relations and Operations / B.3:
Scalar Valued Functions Defined on Matrices / B.4:
Inverse Matrix / B.5:
Linear Equations and Linear Inequalities / B.6:
Linear Transformations; Characteristic Roots and Vectors / B.7:
Quadratic Forms / B.8:
Matrix Derivatives / B.9:
Index
Preface to the Classics Edition
Preface
Introduction / Part 1:
3.

図書

図書
edited by Panos M. Pardalos and Mauricio G.C. Resende
出版情報: New York ; Tokyo : Oxford University Press, 2002  xviii, 1095 p. ; 26 cm
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4.

図書

図書
Osman Güler
出版情報: New York, NY ; London : Springer, c2010  xviii, 439 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 258
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目次情報: 続きを見る
Calculus in Vector Spaces
Unconstrained Optimization
Convex Analysis
Theory of Convex Polyhedra
Some Basic Optimization Algorithms
Theory of Lagrange Multipliers
Semi-infinite Programming
Duality Theory and Convex Programming
References
Index
Calculus in Vector Spaces
Unconstrained Optimization
Convex Analysis
5.

図書

図書
Wilhelm Forst, Dieter Hoffmann
出版情報: New York : Springer, c2010  xviii, 402 p. ; 27 cm
シリーズ名: Springer undergraduate texts in mathematics and technology
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6.

図書

図書
Ryan Kastner, Anup Hosangadi, Farzan Fallah
出版情報: Cambridge, UK : Cambridge University Press, 2010  viii, 187 p. ; 26 cm
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目次情報: 続きを見る
List of abbreviations
Preface
Introduction / 1:
Overview / 1.1:
Salient features of this book / 1.2:
Organization / 1.3:
Target audience / 1.4:
Use of polynomial expressions and linear systems / 2:
Chapter overview / 2.1:
Approximation algorithms / 2.2:
Computer graphics / 2.3:
Digital signal processing (DSP) / 2.4:
Cryptography / 2.5:
Address calculation in data intensive applications / 2.6:
Summary / 2.7:
Software compilation / 3:
Basic software compiler structure / 3.1:
Algebraic transformations in optimizing software compilers / 3.3:
Hardware synthesis / 3.4:
Hardware synthesis design flow / 4.1:
System specification / 4.3:
Program representation / 4.4:
Algorithmic optimization / 4.5:
Resource allocation / 4.6:
Operation scheduling / 4.7:
Resource binding / 4.8:
Case study: FIR filter / 4.9:
Fundamentals of digital arithmetic / 4.10:
Basic number representation / 5.1:
Two-operand addition / 5.3:
Multiple-operand addition / 5.4:
Polynomial expressions / 5.5:
Problem formulation / 6.1:
Related optimization techniques / 6.4:
Algebraic optimization of arithmetic expressions / 6.5:
Experimental results / 6.6:
Optimal solutions for reducing the number of operations in arithmetic expressions / 6.7:
Linear systems / 6.8:
Linear system basics / 7.1:
Single-constant multiplication (SCM) / 7.3:
Multiple-constant multiplication (MCM) / 7.5:
Overview of linear system optimizations / 7.6:
Transformation of a linear system into a polynomial expression / 7.7:
Optimization for synthesis using two-operand adders / 7.8:
FIR filter optimization / 7.9:
Synthesis for multiple-operand addition / 7.10:
Delay-aware optimization / 7.11:
Software optimization / 7.12:
Index / 7.13:
List of abbreviations
Preface
Introduction / 1:
7.

図書

図書
edited by Xiaoqi Yang and Kok Lay Teo and Lou Caccetta
出版情報: Dordrecht : Kluwer Academic Publishers, c2001  xxxvii, 412 p. ; 25 cm
シリーズ名: Applied optimization ; vol. 52
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8.

図書

図書
Thomas F. Edgar, David M. Himmelblau, Leon S. Lasdon
出版情報: New York : McGraw-Hill, 2001  xv, 651 p. ; 24 cm
シリーズ名: McGraw-Hill chemical engineering series
McGraw-Hill higher education
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9.

図書

図書
Robert J. Vanderbei
出版情報: Boston : Kluwer Academic, c2001  xviii, 450 p. ; 25 cm
シリーズ名: International series in operations research & management science ; 37
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10.

図書

図書
Martin Grötschel, Sven O. Krumke, Jörg Rambau, editors
出版情報: Berlin : Springer-Verlag, c2001  xii, 801 p. ; 25 cm
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