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Applied Functional Analysis [[electronic resource] ] : Applications to Mathematical Physics / / by Eberhard Zeidler
| Applied Functional Analysis [[electronic resource] ] : Applications to Mathematical Physics / / by Eberhard Zeidler |
| Autore | Zeidler Eberhard |
| Edizione | [1st ed. 1995.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 |
| Descrizione fisica | 1 online resource (XXIX, 481 p.) |
| Disciplina | 515 |
| Collana | Applied Mathematical Sciences |
| Soggetto topico |
Mathematical analysis
Analysis (Mathematics) System theory Calculus of variations Analysis Systems Theory, Control Calculus of Variations and Optimal Control; Optimization |
| ISBN | 1-4612-0815-7 |
| Classificazione | 46Bxx |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Banach Spaces and Fixed-Point Theorems -- 1.1 Linear Spaces and Dimension -- 1.2 Normed Spaces and Convergence -- 1.3 Banach Spaces and the Cauchy Convergence Criterion -- 1.4 Open and Closed Sets -- 1.5 Operators -- 1.6 The Banach Fixed-Point Theorem and the Iteration Method -- 1.7 Applications to Integral Equations -- 1.8 Applications to Ordinary Differential Equations -- 1.9 Continuity -- 1.10 Convexity -- 1.11 Compactness -- 1.12 Finite-Dimensional Banach Spaces and Equivalent Norms -- 1.13 The Minkowski Functional and Homeomorphisms -- 1.14 The Brouwer Fixed-Point Theorem -- 1.15 The Schauder Fixed-Point Theorem -- 1.16 Applications to Integral Equations -- 1.17 Applications to Ordinary Differential Equations -- 1.18 The Leray-Schauder Principle and a priori Estimates -- 1.19 Sub- and Supersolutions, and the Iteration Method in Ordered Banach Spaces -- 1.20 Linear Operators -- 1.21 The Dual Space -- 1.22 Infinite Series in Normed Spaces -- 1.23 Banach Algebras and Operator Functions -- 1.24 Applications to Linear Differential Equations in Banach Spaces -- 1.25 Applications to the Spectrum -- 1.26 Density and Approximation -- 1.27 Summary of Important Notions -- 2 Hilbert Spaces, Orthogonality, and the Dirichlet Principle -- 2.1 Hilbert Spaces -- 2.2 Standard Examples -- 2.3 Bilinear Forms -- 2.4 The Main Theorem on Quadratic Variational Problems -- 2.5 The Functional Analytic Justification of the Dirichlet Principle -- 2.6 The Convergence of the Ritz Method for Quadratic Variational Problems -- 2.7 Applications to Boundary-Value Problems, the Method of Finite Elements, and Elasticity -- 2.8 Generalized Functions and Linear Functionals -- 2.9 Orthogonal Projection -- 2.10 Linear Functionals and the Riesz Theorem -- 2.11 The Duality Map -- 2.12 Duality for Quadratic Variational Problems -- 2.13 The Linear Orthogonality Principle -- 2.14 Nonlinear Monotone Operators -- 2.15 Applications to the Nonlinear Lax-Milgram Theorem and the Nonlinear Orthogonality Principle -- 3 Hilbert Spaces and Generalized Fourier Series -- 3.1 Orthonormal Series -- 3.2 Applications to Classical Fourier Series -- 3.3 The Schmidt Orthogonalization Method -- 3.4 Applications to Polynomials -- 3.5 Unitary Operators -- 3.6 The Extension Principle -- 3.7 Applications to the Fourier Transformation -- 3.8 The Fourier Transform of Tempered Generalized Functions -- 4 Eigenvalue Problems for Linear Compact Symmetric Operators -- 4.1 Symmetric Operators -- 4.2 The Hilbert-Schmidt Theory -- 4.3 The Fredholm Alternative -- 4.4 Applications to Integral Equations -- 4.5 Applications to Boundary-Eigenvalue Value Problems -- 5 Self-Adjoint Operators, the Friedrichs Extension and the Partial Differential Equations of Mathematical Physics -- 5.1 Extensions and Embeddings -- 5.2 Self-Adjoint Operators -- 5.3 The Energetic Space -- 5.4 The Energetic Extension -- 5.5 The Friedrichs Extension of Symmetric Operators -- 5.6 Applications to Boundary-Eigenvalue Problems for the Laplace Equation -- 5.7 The Poincaré Inequality and Rellich’s Compactness Theorem -- 5.8 Functions of Self-Adjoint Operators -- 5.9 Semigroups, One-Parameter Groups, and Their Physical Relevance -- 5.10 Applications to the Heat Equation -- 5.11 Applications to the Wave Equation -- 5.12 Applications to the Vibrating String and the Fourier Method -- 5.13 Applications to the Schrödinger Equation -- 5.14 Applications to Quantum Mechanics -- 5.15 Generalized Eigenfunctions -- 5.16 Trace Class Operators -- 5.17 Applications to Quantum Statistics -- 5.18 C*-Algebras and the Algebraic Approach to Quantum Statistics -- 5.19 The Fock Space in Quantum Field Theory and the Pauli Principle -- 5.20 A Look at Scattering Theory -- 5.21 The Language of Physicists in Quantum Physics and the Justification of the Dirac Calculus -- 5.22 The Euclidean Strategy in Quantum Physics -- 5.23 Applications to Feynman’s Path Integral -- 5.24 The Importance of the Propagator in Quantum Physics -- 5.25 A Look at Solitons and Inverse Scattering Theory -- Epilogue -- References -- Hints for Further Reading -- List of Symbols -- List of Theorems -- List of the Most Important Definitions. |
| Record Nr. | UNINA-9910789342903321 |
Zeidler Eberhard
|
||
| New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Applied Functional Analysis [[electronic resource] ] : Applications to Mathematical Physics / / by Eberhard Zeidler
| Applied Functional Analysis [[electronic resource] ] : Applications to Mathematical Physics / / by Eberhard Zeidler |
| Autore | Zeidler Eberhard |
| Edizione | [1st ed. 1995.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 |
| Descrizione fisica | 1 online resource (XXIX, 481 p.) |
| Disciplina | 515 |
| Collana | Applied Mathematical Sciences |
| Soggetto topico |
Mathematical analysis
Analysis (Mathematics) System theory Calculus of variations Analysis Systems Theory, Control Calculus of Variations and Optimal Control; Optimization |
| ISBN | 1-4612-0815-7 |
| Classificazione | 46Bxx |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Banach Spaces and Fixed-Point Theorems -- 1.1 Linear Spaces and Dimension -- 1.2 Normed Spaces and Convergence -- 1.3 Banach Spaces and the Cauchy Convergence Criterion -- 1.4 Open and Closed Sets -- 1.5 Operators -- 1.6 The Banach Fixed-Point Theorem and the Iteration Method -- 1.7 Applications to Integral Equations -- 1.8 Applications to Ordinary Differential Equations -- 1.9 Continuity -- 1.10 Convexity -- 1.11 Compactness -- 1.12 Finite-Dimensional Banach Spaces and Equivalent Norms -- 1.13 The Minkowski Functional and Homeomorphisms -- 1.14 The Brouwer Fixed-Point Theorem -- 1.15 The Schauder Fixed-Point Theorem -- 1.16 Applications to Integral Equations -- 1.17 Applications to Ordinary Differential Equations -- 1.18 The Leray-Schauder Principle and a priori Estimates -- 1.19 Sub- and Supersolutions, and the Iteration Method in Ordered Banach Spaces -- 1.20 Linear Operators -- 1.21 The Dual Space -- 1.22 Infinite Series in Normed Spaces -- 1.23 Banach Algebras and Operator Functions -- 1.24 Applications to Linear Differential Equations in Banach Spaces -- 1.25 Applications to the Spectrum -- 1.26 Density and Approximation -- 1.27 Summary of Important Notions -- 2 Hilbert Spaces, Orthogonality, and the Dirichlet Principle -- 2.1 Hilbert Spaces -- 2.2 Standard Examples -- 2.3 Bilinear Forms -- 2.4 The Main Theorem on Quadratic Variational Problems -- 2.5 The Functional Analytic Justification of the Dirichlet Principle -- 2.6 The Convergence of the Ritz Method for Quadratic Variational Problems -- 2.7 Applications to Boundary-Value Problems, the Method of Finite Elements, and Elasticity -- 2.8 Generalized Functions and Linear Functionals -- 2.9 Orthogonal Projection -- 2.10 Linear Functionals and the Riesz Theorem -- 2.11 The Duality Map -- 2.12 Duality for Quadratic Variational Problems -- 2.13 The Linear Orthogonality Principle -- 2.14 Nonlinear Monotone Operators -- 2.15 Applications to the Nonlinear Lax-Milgram Theorem and the Nonlinear Orthogonality Principle -- 3 Hilbert Spaces and Generalized Fourier Series -- 3.1 Orthonormal Series -- 3.2 Applications to Classical Fourier Series -- 3.3 The Schmidt Orthogonalization Method -- 3.4 Applications to Polynomials -- 3.5 Unitary Operators -- 3.6 The Extension Principle -- 3.7 Applications to the Fourier Transformation -- 3.8 The Fourier Transform of Tempered Generalized Functions -- 4 Eigenvalue Problems for Linear Compact Symmetric Operators -- 4.1 Symmetric Operators -- 4.2 The Hilbert-Schmidt Theory -- 4.3 The Fredholm Alternative -- 4.4 Applications to Integral Equations -- 4.5 Applications to Boundary-Eigenvalue Value Problems -- 5 Self-Adjoint Operators, the Friedrichs Extension and the Partial Differential Equations of Mathematical Physics -- 5.1 Extensions and Embeddings -- 5.2 Self-Adjoint Operators -- 5.3 The Energetic Space -- 5.4 The Energetic Extension -- 5.5 The Friedrichs Extension of Symmetric Operators -- 5.6 Applications to Boundary-Eigenvalue Problems for the Laplace Equation -- 5.7 The Poincaré Inequality and Rellich’s Compactness Theorem -- 5.8 Functions of Self-Adjoint Operators -- 5.9 Semigroups, One-Parameter Groups, and Their Physical Relevance -- 5.10 Applications to the Heat Equation -- 5.11 Applications to the Wave Equation -- 5.12 Applications to the Vibrating String and the Fourier Method -- 5.13 Applications to the Schrödinger Equation -- 5.14 Applications to Quantum Mechanics -- 5.15 Generalized Eigenfunctions -- 5.16 Trace Class Operators -- 5.17 Applications to Quantum Statistics -- 5.18 C*-Algebras and the Algebraic Approach to Quantum Statistics -- 5.19 The Fock Space in Quantum Field Theory and the Pauli Principle -- 5.20 A Look at Scattering Theory -- 5.21 The Language of Physicists in Quantum Physics and the Justification of the Dirac Calculus -- 5.22 The Euclidean Strategy in Quantum Physics -- 5.23 Applications to Feynman’s Path Integral -- 5.24 The Importance of the Propagator in Quantum Physics -- 5.25 A Look at Solitons and Inverse Scattering Theory -- Epilogue -- References -- Hints for Further Reading -- List of Symbols -- List of Theorems -- List of the Most Important Definitions. |
| Record Nr. | UNINA-9910812418003321 |
|
Zeidler Eberhard
|
||
| New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Applied Functional Analysis [[electronic resource] ] : Main Principles and Their Applications / / by Eberhard Zeidler
| Applied Functional Analysis [[electronic resource] ] : Main Principles and Their Applications / / by Eberhard Zeidler |
| Autore | Zeidler Eberhard |
| Edizione | [1st ed. 1995.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 |
| Descrizione fisica | 1 online resource (XVI, 406 p.) |
| Disciplina | 515.7 |
| Collana | Applied Mathematical Sciences |
| Soggetto topico |
Functional analysis
Mathematical analysis Analysis (Mathematics) System theory Calculus of variations Functional Analysis Analysis Systems Theory, Control Calculus of Variations and Optimal Control; Optimization |
| ISBN | 1-4612-0821-1 |
| Classificazione | 46Bxx |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 The Hahn-Banach Theorem Optimization Problems -- 1.1 The Hahn-Banach Theorem -- 1.2 Applications to the Separation of Convex Sets -- 1.3 The Dual Space C[a,b]* -- 1.4 Applications to the Moment Problem -- 1.5 Minimum Norm Problems and Duality Theory -- 1.6 Applications to ?ebyšev Approximation -- 1.7 Applications to the Optimal Control of Rockets -- 2 Variational Principles and Weak Convergence -- 2.1 The nth Variation -- 2.2 Necessary and Sufficient Conditions for Local Extrema and the Classical Calculus of Variations -- 2.3 The Lack of Compactness in Infinite-Dimensional Banach Spaces -- 2.4 Weak Convergence -- 2.5 The Generalized Weierstrass Existence Theorem -- 2.6 Applications to the Calculus of Variations -- 2.7 Applications to Nonlinear Eigenvalue Problems -- 2.8 Reflexive Banach Spaces -- 2.9 Applications to Convex Minimum Problems and Variational Inequalities -- 2.10 Applications to Obstacle Problems in Elasticity -- 2.11 Saddle Points -- 2.12 Applications to Duality Theory -- 2.13 The von Neumann Minimax Theorem on the Existence of Saddle Points -- 2.14 Applications to Game Theory -- 2.15 The Ekeland Principle about Quasi-Minimal Points -- 2.16 Applications to a General Minimum Principle via the Palais-Smale Condition -- 2.17 Applications to the Mountain Pass Theorem -- 2.18 The Galerkin Method and Nonlinear Monotone Operators -- 2.19 Symmetries and Conservation Laws (The Noether Theorem) -- 2.20 The Basic Ideas of Gauge Field Theory -- 2.21 Representations of Lie Algebras -- 2.22 Applications to Elementary Particles -- 3 Principles of Linear Functional Analysis -- 3.1 The Baire Theorem -- 3.2 Application to the Existence of Nondifferentiable Continuous Functions -- 3.3 The Uniform Boundedness Theorem -- 3.4 Applications to Cubature Formulas -- 3.5 The Open Mapping Theorem -- 3.6 Product Spaces -- 3.7 The Closed Graph Theorem -- 3.8 Applications to Factor Spaces -- 3.9 Applications to Direct Sums and Projections -- 3.10 Dual Operators -- 3.11 The Exactness of the Duality Functor -- 3.12 Applications to the Closed Range Theorem and to Fredholm Alternatives -- 4 The Implicit Function Theorem -- 4.1 m-Linear Bounded Operators -- 4.2 The Differential of Operators and the Fréchet Derivative -- 4.3 Applications to Analytic Operators -- 4.4 Integration -- 4.5 Applications to the Taylor Theorem -- 4.6 Iterated Derivatives -- 4.7 The Chain Rule -- 4.8 The Implicit Function Theorem -- 4.9 Applications to Differential Equations -- 4.10 Diffeomorphisms and the Local Inverse Mapping Theorem -- 4.11 Equivalent Maps and the Linearization Principle -- 4.12 The Local Normal Form for Nonlinear Double Splitting Maps -- 4.13 The Surjective Implicit Function Theorem -- 4.14 Applications to the Lagrange Multiplier Rule -- 5 Fredholm Operators -- 5.1 Duality for Linear Compact Operators -- 5.2 The Riesz-Schauder Theory on Hilbert Spaces -- 5.3 Applications to Integral Equations -- 5.4 Linear Fredholm Operators -- 5.5 The Riesz-Schauder Theory on Banach Spaces -- 5.6 Applications to the Spectrum of Linear Compact Operators -- 5.7 The Parametrix -- 5.8 Applications to the Perturbation of Fredholm Operators -- 5.9 Applications to the Product Index Theorem -- 5.10 Fredholm Alternatives via Dual Pairs -- 5.11 Applications to Integral Equations and Boundary-Value Problems -- 5.12 Bifurcation Theory -- 5.13 Applications to Nonlinear Integral Equations -- 5.14 Applications to Nonlinear Boundary-Value Problems -- 5.15 Nonlinear Fredholm Operators -- 5.16 Interpolation Inequalities -- 5.17 Applications to the Navier-Stokes Equations -- References -- List of Symbols -- List of Theorems -- List of Most Important Definitions. |
| Record Nr. | UNINA-9910828902103321 |
|
Zeidler Eberhard
|
||
| New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Applied Stochastic Control of Jump Diffusions / / by Bernt Øksendal, Agnès Sulem
| Applied Stochastic Control of Jump Diffusions / / by Bernt Øksendal, Agnès Sulem |
| Autore | Øksendal Bernt |
| Edizione | [3rd ed. 2019.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 |
| Descrizione fisica | 1 online resource (XVI, 436 p. 26 illus., 3 illus. in color.) |
| Disciplina |
519.2
629.8312 |
| Collana | Universitext |
| Soggetto topico |
Operations research
Management science Probabilities Economics, Mathematical Calculus of variations Operator theory System theory Operations Research, Management Science Probability Theory and Stochastic Processes Quantitative Finance Calculus of Variations and Optimal Control; Optimization Operator Theory Systems Theory, Control |
| ISBN | 3-030-02781-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Stochastic Calculus with Lévy Processes -- Financial Markets Modelled by Jump Diffusions -- Optimal Stopping of Jump Diffusions -- Backward Stochastic Differential Equations and Risk Measures -- Stochastic Control of Jump Diffusions -- Stochastic Differential Games -- Combined Optimal Stopping and Stochastic Control of Jump Diffusions -- Viscosity Solutions -- Solutions of Selected Exercises -- References -- Notation and Symbols. |
| Record Nr. | UNINA-9910338249503321 |
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Øksendal Bernt
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Approximate solutions of common fixed-point problems / / by Alexander J. Zaslavski
| Approximate solutions of common fixed-point problems / / by Alexander J. Zaslavski |
| Autore | Zaslavski Alexander J |
| Edizione | [1st ed. 2016.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
| Descrizione fisica | 1 online resource (457 p.) |
| Disciplina | 510 |
| Collana | Springer Optimization and Its Applications |
| Soggetto topico |
Calculus of variations
Numerical analysis Operator theory Calculus of Variations and Optimal Control; Optimization Numerical Analysis Operator Theory |
| ISBN | 3-319-33255-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1.Introduction -- 2. Dynamic string-averaging methods in Hilbert spaces -- 3. Iterative methods in metric spaces -- 4. Dynamic string-averaging methods in normed spaces -- 5. Dynamic string-maximum methods in metric spaces -- 6. Spaces with generalized distances -- 7. Abstract version of CARP algorithm -- 8. Proximal point algorithm -- 9. Dynamic string-averaging proximal point algorithm -- 10. Convex feasibility problems -- 11. Iterative subgradient projection algorithm -- 12. Dynamic string-averaging subgradient projection algorithm.– References.– Index. . |
| Record Nr. | UNINA-9910254098403321 |
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Zaslavski Alexander J
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Approximation and Optimization : Algorithms, Complexity and Applications / / edited by Ioannis C. Demetriou, Panos M. Pardalos
| Approximation and Optimization : Algorithms, Complexity and Applications / / edited by Ioannis C. Demetriou, Panos M. Pardalos |
| Edizione | [1st ed. 2019.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 |
| Descrizione fisica | 1 online resource (244 pages) |
| Disciplina |
516.11
511.4 |
| Collana | Springer Optimization and Its Applications |
| Soggetto topico |
Approximation theory
Calculus of variations Algorithms Numerical analysis Probabilities Approximations and Expansions Calculus of Variations and Optimal Control; Optimization Numerical Analysis Probability Theory and Stochastic Processes |
| ISBN | 3-030-12767-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Evaluation Complexity Bounds for Smooth Constrained Nonlinear Optimization using Scaled KKT Conditions and High-order Models -- Data-Dependent Approximation in Social Computing -- Multi-Objective Evolutionary Optimization Algorithms for Machine Learning: a Recent Survey -- No Free Lunch Theorem, a Review -- Piecewise Convex-Concave Approximation in the Minimax Norm -- A Decomposition Theorem for the Least Squares Piecewise Monotonic Data Approximation Problem -- Recent Progress in Optimization of Multiband Electrical Filters -- Impact of Error in Parameter Estimations on Large Scale Portfolio Optimization -- Optimal Design of Smart Composites -- Tax Evasion as an Optimal Solution to a Partially Observable Markov Decision Process. |
| Record Nr. | UNINA-9910338258003321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Asymptotic Behavior of Dynamical and Control Systems under Pertubation and Discretization [[electronic resource] /] / by Lars Grüne
| Asymptotic Behavior of Dynamical and Control Systems under Pertubation and Discretization [[electronic resource] /] / by Lars Grüne |
| Autore | Grüne Lars |
| Edizione | [1st ed. 2002.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2002 |
| Descrizione fisica | 1 online resource (X, 238 p.) |
| Disciplina | 514.74 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Dynamics
Ergodic theory System theory Numerical analysis Calculus of variations Dynamical Systems and Ergodic Theory Systems Theory, Control Numerical Analysis Calculus of Variations and Optimal Control; Optimization |
| ISBN | 3-540-36784-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Dynamics, Perturbation and Discretization -- Setup and Preliminaries -- Strongly Attracting Sets -- Weakly Attracting Sets -- Relation between Discretization and Perturbation -- Discretizations of Attractive Sets -- Domains of Attraction -- Appendices. Viscosity Solutions. Comparison Functions. Numerical Examples. |
| Record Nr. | UNISA-996466658203316 |
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Grüne Lars
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| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Asymptotic Behavior of Dynamical and Control Systems under Pertubation and Discretization / / by Lars Grüne
| Asymptotic Behavior of Dynamical and Control Systems under Pertubation and Discretization / / by Lars Grüne |
| Autore | Grüne Lars |
| Edizione | [1st ed. 2002.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2002 |
| Descrizione fisica | 1 online resource (X, 238 p.) |
| Disciplina | 514.74 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Dynamics
Ergodic theory System theory Numerical analysis Calculus of variations Dynamical Systems and Ergodic Theory Systems Theory, Control Numerical Analysis Calculus of Variations and Optimal Control; Optimization |
| ISBN | 3-540-36784-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Dynamics, Perturbation and Discretization -- Setup and Preliminaries -- Strongly Attracting Sets -- Weakly Attracting Sets -- Relation between Discretization and Perturbation -- Discretizations of Attractive Sets -- Domains of Attraction -- Appendices. Viscosity Solutions. Comparison Functions. Numerical Examples. |
| Record Nr. | UNINA-9910144943103321 |
|
Grüne Lars
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||
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Bases, outils et principes pour l'analyse variationnelle / / by Jean-Baptiste Hiriart-Urruty
| Bases, outils et principes pour l'analyse variationnelle / / by Jean-Baptiste Hiriart-Urruty |
| Autore | Hiriart-Urruty Jean-Baptiste |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2013 |
| Descrizione fisica | 1 online resource (181 p.) |
| Disciplina | 519.5352 |
| Collana | Mathématiques et Applications |
| Soggetto topico |
Mathematical optimization
Applied mathematics Engineering mathematics Mathematical analysis Analysis (Mathematics) Functional analysis Calculus of variations Optimization Mathematical and Computational Engineering Analysis Applications of Mathematics Functional Analysis Calculus of Variations and Optimal Control; Optimization |
| ISBN | 3-642-30735-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | fre |
| Nota di contenuto |
Bases, outils et principes pour l'analyse variationnelle; Avant-propos; Ouvrages récents du même auteur; Introduction; Table des matières; 1 - PROLÉGOMÈNES: LA SEMICONTINUITÉ INFÉRIEURE; LES TOPOLOGIES FAIBLES; - RÉSULTATS FONDAMENTAUX D'EXISTENCE EN OPTIMISATION.; 1 Introduction; 2 La question de l'existence de solutions; 2.1 La semicontinuité inférieure; 2.2 Des exemples; 2.3 Un résultat standard d'existence; 3 Le choix des topologies; 3.1 Progression dans la généralité des espaces de travail; 3.2 Topologie faible σ(E,E*) sur E; 3.3 Le topologie faible-, σ(E*,E) (weak- en anglais)
3.4 L'apport de la séparabilité3.5 Un théorème fondamental d'existence en présence de convexité; Références; 2 CONDITIONS NÉCESSAIRES D'OPTIMALITÉ APPROCHÉE; 1 PRINCIPE VARIATIONNEL D'EKELAND; 1.1 Le théorème principal: énoncé, illustrations, variantes; 1.2 La démonstration du théorème principal; 1.3 Compléments; 2 PRINCIPE VARIATIONNEL DE BORWEIN-PREISS; 2.1 Le théorème principal: énoncé, quelques illustrations; 2.2 Applications en théorie de l'approximation hilbertienne; 3 Prolongements possibles; Références; 3-AUTOUR DE LA PROJECTION SUR UN CONVEXE FERMÉ; -LA DÉCOMPOSITION DE MOREAU. 1 Le contexte linéaire : la projection sur un sous-espace vectoriel fermé (Rappels)1.1 Propriétés basiques de pV; 1.2 Caractérisation de pV; 1.3 La ""technologie des moindres carrés""; 2 Le contexte général : la projection sur un convexe fermé (Rappels); 2.1 Caractérisation et propriétés essentielles; 2.2 Le problème de l'admissibilité ou faisabilité convexe (the ""convex feasibility problem""); 3 La projection sur un cône convexe fermé. La décomposition de MOREAU; 3.1 Le cône polaire; 3.2 Caractérisation de pK; x) ; propriétés de pK ; décomposition de Moreau suivant K et K 4 Approximation conique d'un convexe. Application aux conditions d'optimalité4.1 Le cône tangent; 4.2 Application aux conditions d'optimalité; Exercices; Références; 4 ANALYSE CONVEXE OPÉRATOIRE; 1 Fonctions convexes sur E; 1.1 Définitions et propriétés; 1.2 Exemples; 2 Deux opérations préservant la convexité; 2.1 Passage au supremum; 2.2 Inf-convolution; 3 La transformation de Legendre-Fenchel; 3.1 Définition et premières propriétés; 3.2 Quelques exemples pour se familiariser avec le concept; 3.3 L'inégalité de Fenchel; 3.4 La biconjugaison; 3.5 Quelques règles de calcul typiques 4 Le sous-différentiel d'une fonction4.1 Définition et premiers exemples; 4.2 Propriétés basiques du sous-différentiel; 4.3 Quelques règles de calcul typiques; 4.4 Sur le besoin d'un agrandissement de f; 5 Un exemple d'utilisation du sous-différentiel: les conditions nécessaires et suffisantes d'optimalité dans un problème d'optimisation convexe avec contraintes; Références; 5 QUELQUES SCHÉMAS DE DUALISATION DANS DES PROBLÈMES D'OPTIMISATION NON CONVEXES; 1 MODÈLE 1: LA RELAXATION CONVEXE; 1.1 L'opération de ""convexification fermée"" d'une fonction 1.2 La ""relaxation convexe fermée"" d'un problème d'optimisation (P) |
| Record Nr. | UNINA-9910438150303321 |
|
Hiriart-Urruty Jean-Baptiste
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| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Berge Equilibrium: A Game-Theoretic Framework for the Golden Rule of Ethics [[electronic resource] /] / by Mindia E. Salukvadze, Vladislav I. Zhukovskiy
| The Berge Equilibrium: A Game-Theoretic Framework for the Golden Rule of Ethics [[electronic resource] /] / by Mindia E. Salukvadze, Vladislav I. Zhukovskiy |
| Autore | Salukvadze Mindia E |
| Edizione | [1st ed. 2020.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2020 |
| Descrizione fisica | 1 online resource (XXVI, 272 p. 34 illus., 1 illus. in color.) |
| Disciplina | 519.3 |
| Collana | Static & Dynamic Game Theory: Foundations & Applications |
| Soggetto topico |
Game theory
Operations research Management science Calculus of variations Game Theory, Economics, Social and Behav. Sciences Operations Research, Management Science Calculus of Variations and Optimal Control; Optimization |
| ISBN | 3-030-25546-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996418278203316 |
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Salukvadze Mindia E
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| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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