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Computational Methods in Optimization
Numerical methods of optimisation --- Mathematical optimization. --- Nonlinear programming. --- Mathematical optimization --- Nonlinear programming --- Programming (Mathematics) --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Programmation (mathématiques) --- Programmation mathematique --- Programmation non lineaire --- Methodes numeriques
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Numerical solutions of differential equations --- Operational research. Game theory --- #KVIV --- Calculus of variations. --- Differential equations. --- Mathematical optimization. --- Calculus of variations --- Differential equations --- Mathematical optimization --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- 517.91 Differential equations --- Isoperimetrical problems --- Variations, Calculus of --- 517.91. --- Numerical solutions --- 517.91
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wiskunde --- Mathematics --- Calculus of variations. --- Inequalities (Mathematics) --- Mathematical optimization. --- Calculus of variations --- Mathematical optimization --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Processes, Infinite --- Isoperimetrical problems --- Variations, Calculus of --- Inequalities (Mathematics). --- Calcul des variations --- Inégalités (mathématiques)
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Mathematical statistics --- Mathematical optimization --- Congresses --- -Mathematical statistics --- -519.2 --- Mathematics --- Statistical inference --- Statistics, Mathematical --- Statistics --- Probabilities --- Sampling (Statistics) --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Probability. Mathematical statistics --- Statistical methods --- 519.2 Probability. Mathematical statistics --- 519.2 --- Mathematical statistics - Congresses --- Mathematical optimization - Congresses
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Mathematical optimization --- Programming (Mathematics) --- Automatic control --- 519.85 --- Mathematical programming --- Goal programming --- Algorithms --- Functional equations --- Operations research --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Simulation methods --- System analysis --- Control engineering --- Control equipment --- Control theory --- Engineering instruments --- Automation --- Programmable controllers --- Automatic control. --- Mathematical optimization. --- Programming (Mathematics). --- 519.85 Mathematical programming
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These notes are the result of an interrupted sequence of seminars on optimiza tion theory with economic applications starting in 1964-1965. This is mentioned by way of explaining the uneven style that pervades them. Lately I have been using the notes for a two semester course on the subject for graduate students in economics. Except for the introductory survey, the notes are intended to provide an appetizer to more sophisticated aspects of optimization theory and economic theory. The notes are divided into three parts. Part I collects most of the results on constrained extremf! of differentiable functionals on finite and not so finite dimensional spaces. It is to be used as a reference and as a place to find credits to various authors whose ideas we report. Part II is concerned with finite dimensional problems and is written in detail. Needless to say, my contributions are marginal. The economic examples are well known and are presented by way of illustrating the theory. Part III is devoted to variational problems leading to a discussion of some optimal control problems. There is a vast amount of literature on these problems and I tried to limit my intrusions to explaining some of the obvious steps that are usually left out. I have borrowed heavily from Akhiezer [ 1], Berkovitz [ 7], Bliss [lOJ and Pars [40J. The economic applications represent some of my work and are presented in the spirit of illustration.
Mathematical control systems --- Economics, Mathematical --- Mathematical optimization --- Calculus of variations --- 517.95 --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Operations research --- Simulation methods --- System analysis --- Economics --- Mathematical economics --- Econometrics --- Mathematics --- Partial differential equations --- Methodology --- Business & Economics --- Economic Theory --- 517.95 Partial differential equations --- Programmation (mathématiques) --- Calcul des variations --- Theorie du controle --- Economie mathematique --- Optimisation
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Mathematical optimization --- Economics, Mathematical --- Optimisation mathématique --- Mathématiques économiques --- Mathematical optimization. --- Economics, Mathematical. --- 519.86 --- AA / International- internationaal --- 305.976 --- 330.00 --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Economics --- Mathematical economics --- Econometrics --- Mathematics --- Theory of economic-mathematical models --- Algoritmen. Optimisatie. --- Economische en sociale theorieën: algemeenheden. --- Methodology --- 519.86 Theory of economic-mathematical models --- Optimisation mathématique --- Mathématiques économiques --- Algoritmen. Optimisatie --- Economische en sociale theorieën: algemeenheden
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519.876 --- Large scale systems --- Mathematical optimization --- -Programming (Mathematics) --- -Mathematical programming --- Goal programming --- Algorithms --- Functional equations --- Operations research --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Simulation methods --- System analysis --- Systems, Large scale --- Engineering systems --- Theory of large systems --- Addresses, essays, lectures --- Large scale systems. --- Mathematical optimization. --- Programming (Mathematics) --- Basic Sciences. Mathematics --- Systems and Control Theory --- -Theory of large systems --- Programming (Mathematics). --- Systems and Control Theory. --- 519.876 Theory of large systems --- -Systems, Large scale --- Mathematical programming
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Numerical methods of optimisation --- Mathematical optimization --- Maxima and minima --- Approximation theory --- Functionals --- 519.85 --- 681.3*G16 --- Minima --- Mathematics --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Operations research --- Simulation methods --- System analysis --- Function spaces --- Functional analysis --- Functions --- Theory of approximation --- Polynomials --- Chebyshev systems --- Mathematical programming --- Optimization: constrained optimization; gradient methods; integer programming; least squares methods; linear programming; nonlinear programming (Numericalanalysis) --- Mathematical optimization. --- Maxima and minima. --- Functionals. --- Approximation theory. --- 681.3*G16 Optimization: constrained optimization; gradient methods; integer programming; least squares methods; linear programming; nonlinear programming (Numericalanalysis) --- 519.85 Mathematical programming --- Calculus of variations --- Calcul des variations --- Numerical analysis --- Analyse numérique --- Calculus of variations. --- Numerical analysis. --- Analyse numérique --- Optimisation
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