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Mathematical statistics --- 519.85 --- Mathematical programming --- Mathematical statistics. --- Programming (Mathematics) --- Programming (Mathematics). --- 519.85 Mathematical programming --- Goal programming --- Algorithms --- Functional equations --- Mathematical optimization --- Operations research --- Mathematics --- Statistical inference --- Statistics, Mathematical --- Statistics --- Probabilities --- Sampling (Statistics) --- Statistical methods
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................................................................. The performance of a nonlinear programming algorithm can only be ascertained by numerical experiments requiring the collection and implementation of test examples in dependence upon the desired performance criterium. This book should be considered as an assis tance for a test designer since it presents an extensive collec tion of nonlinear programming problems which have been used in the past to test or compare optimization programs. He will be in formed about the optimal solution, about the structure of the problem in the neighbourhood of the solution, and, in addition, about the usage of the corresp,onding FORTRAN subroutines if he is interested in obtaining them -ofi a magnetic tape. Chapter I shows how the test examples are documented. In par ticular, the evaluation of computable information about the solu tion of a problem is outlined. It is explained how the optimal solution, the optimal Lagrange-multipliers, and the condition number of the projected Hessian of the Lagrangian are obtained. Furthermore, a classification number is defined allowing a formal description of a test problem, and the documentation scheme is described which is used in Chapter IV to present the problems.
Planning (firm) --- Operational research. Game theory --- 519.85 --- 517.988 --- 681.3*G16 --- Mathematical programming --- Nonlinear functional analysis and approximation methods --- Optimization: constrained optimization; gradient methods; integer programming; least squares methods; linear programming; nonlinear programming (Numericalanalysis) --- Management --- Business & Economics --- Management Theory --- 681.3*G16 Optimization: constrained optimization; gradient methods; integer programming; least squares methods; linear programming; nonlinear programming (Numericalanalysis) --- 517.988 Nonlinear functional analysis and approximation methods --- 519.85 Mathematical programming
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Mathematical control systems --- 519.85 --- Mathematical programming --- Problem solving, control methods and search: backtracking; dynamic program- ming; graph and tree search strategies; heuristics; plan execution, formationand generation (Artificial intelligence)--See also {681.3*F22} --- 681.3*I28 Problem solving, control methods and search: backtracking; dynamic program- ming; graph and tree search strategies; heuristics; plan execution, formationand generation (Artificial intelligence)--See also {681.3*F22} --- 519.85 Mathematical programming --- Théorie de la commande --- Calculus of variations --- Control theory --- Mathematical optimization --- 517.97 --- 519.86 --- 681.3*I28 --- 517.97 Calculus of variations. Mathematical theory of control --- Calculus of variations. Mathematical theory of control --- 519.86 Theory of economic-mathematical models --- Theory of economic-mathematical models --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Operations research --- Simulation methods --- System analysis --- Dynamics --- Machine theory --- Calculus of variations. --- Control theory. --- Mathematical optimization. --- Optimisation mathématique --- Calcul des variations
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