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Mathematical control systems --- Functional analysis --- Analyse fonctionnelle --- Nonlinear functional analysis --- 517.988 --- Nonlinear theories --- Nonlinear functional analysis and approximation methods --- Nonlinear functional analysis. --- 517.988 Nonlinear functional analysis and approximation methods --- Analyse convexe --- Analyse fonctionnelle non linéaire --- Programmation (mathématiques)

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A study of modern many-particle physics. It describes homogenous systems, such as electron gas in different dimensions, the quantum well in an intense magnetic field, liquid helium and nuclear matter, and addresses finite systems, such as metallic clusters, quantum dots, helium drops and nuclei.

Many-body problem --- Solid state physics. --- Physics --- Solids --- Approximation theory --- Approximation methods. --- Quantum mechanics. Quantumfield theory --- Elementary particles --- Nanostructures. --- Particles (Nuclear physics). --- Quantum theory.

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517.9 --- 517.988 --- 517.988 Nonlinear functional analysis and approximation methods --- Nonlinear functional analysis and approximation methods --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Partial differential equations --- Mathematical physics --- Solitons. --- Solitons

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Probability theory --- Mathematical optimization --- Nonlinear theories --- 519.8 --- 517.988 --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Operational research --- Nonlinear functional analysis and approximation methods --- Mathematical optimization. --- Nonlinear theories. --- 517.988 Nonlinear functional analysis and approximation methods --- 519.8 Operational research --- Programmation (mathématiques) --- Programmation mathematique --- Fonctions de plusieurs variables reelles --- Extrema --- Programmation non lineaire

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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