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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-9910480363703321
Zeidler Eberhard  
New York, NY : , : Springer New York : , : Imprint : Springer, , 1995
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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-9910789342603321
Zeidler Eberhard  
New York, NY : , : Springer New York : , : Imprint : Springer, , 1995
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
Applied Hydraulic Transients [[electronic resource] /] / by M. Hanif Chaudhry
Applied Hydraulic Transients [[electronic resource] /] / by M. Hanif Chaudhry
Autore Chaudhry M. Hanif
Edizione [3rd ed. 2014.]
Pubbl/distr/stampa New York, NY : , : Springer New York : , : Imprint : Springer, , 2014
Descrizione fisica 1 online resource (XIV, 583 p.)
Disciplina 620.1064
Soggetto topico Fluid mechanics
Civil engineering
Engineering design
Engineering Fluid Dynamics
Civil Engineering
Engineering Design
Soggetto non controllato Engineering equipment - Fluids - Unsteady flow
ISBN 1-4614-8538-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Basic Concepts -- Transient-Flow Equations -- Characteristics and Finite-Difference Methods -- Transients in Pumping Systems.-Transients in Hydroelectric Power Plants -- Transients in Cooling Water Systems -- Transients in Long Oil Pipelines -- Periodic Flows and Resonance -- Cavitation and Column Separation -- Transient Control -- Surge Tanks -- Leak and Partial Blockage Detection -- Transient Open-Channel Flows -- Appendix A. Design Charts -- Appendix B. Transients Caused by Opening or Closing a Valve -- Appendix C. Transients Caused by Power Failure to Pumps -- Appendix D. Frequency Response of a Series Piping System -- Appendix E. Water Level Oscillations in a Simple Surge Tank -- SI and English Units and Conversion Factors.
Record Nr. UNINA-9910299478803321
Chaudhry M. Hanif  
New York, NY : , : Springer New York : , : Imprint : Springer, , 2014
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Applied Issues in Investigative Interviewing, Eyewitness Memory, and Credibility Assessment [[electronic resource] /] / edited by Barry S. Cooper, Dorothee Griesel, Marguerite Ternes
Applied Issues in Investigative Interviewing, Eyewitness Memory, and Credibility Assessment [[electronic resource] /] / edited by Barry S. Cooper, Dorothee Griesel, Marguerite Ternes
Edizione [1st ed. 2013.]
Pubbl/distr/stampa New York, NY : , : Springer New York : , : Imprint : Springer, , 2013
Descrizione fisica 1 online resource (359 p.)
Disciplina 347.066019
Soggetto topico Psychology
Criminology
Criminal law
Law and Psychology
Criminology and Criminal Justice, general
Criminal Law and Criminal Procedure Law
Soggetto non controllato Criminal Law
Criminology
Psychology
Law and Psychology
Criminology & Criminal Justice
ISBN 1461455462
1-299-33704-X
1-4614-5547-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto The challenge for forensic memory research: Methodolotry -- Credibility assessment, common law trials, and fuzzy logic -- The investigation and investigative interviewing of benefit fraud suspects in the UK: Historical and contemporary perspectives -- The sins of interviewing: Errors made by investigative interviewers and suggestions for redress -- Biopsychosocial perspectives on memory variability in eyewitnesses -- Children’s memory in “scientific case studies” of child sexual abuse: A review -- Does testimonial inconsistency indicate memory inaccuracy and deception? Beliefs, empirical research, and theory -- Repeated interviews about repeated trauma from the distant past: A study of report consistency -- Discovering deceit: Applying laboratory and field research in the search for truthful and deceptive behaviour -- Is le mot juste? The contexualization of words by expert lie detectors -- Assessment criteria indicative of deception (ACID): An example of the new paradigm of differential recall enhancement -- The ABC’s of CBCA: Verbal credibility assessment in practice -- An “eye” for an “I”: The challenges and opportunities for spotting credibility in a digital world.
Record Nr. UNINA-9910437968203321
New York, NY : , : Springer New York : , : Imprint : Springer, , 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Applied Multivariate Data Analysis [[electronic resource] ] : Volume II: Categorical and Multivariate Methods / / by J.D. Jobson
Applied Multivariate Data Analysis [[electronic resource] ] : Volume II: Categorical and Multivariate Methods / / by J.D. Jobson
Autore Jobson J.D
Edizione [1st ed. 1992.]
Pubbl/distr/stampa New York, NY : , : Springer New York : , : Imprint : Springer, , 1992
Descrizione fisica 1 online resource (XXIX, 732 p.)
Disciplina 519
Collana Springer Texts in Statistics
Soggetto topico Applied mathematics
Engineering mathematics
Statistics 
Medicine
Applications of Mathematics
Statistics for Business, Management, Economics, Finance, Insurance
Statistics for Life Sciences, Medicine, Health Sciences
Medicine/Public Health, general
ISBN 1-4612-0921-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 6 Contingency Tables -- 6.1 Multivariate Data Analysis Data Matrices and Measurement Scales -- 6.2 Two-Dimensional Contingency Tables -- 6.3 Multidimensional Contingency Tables -- 6.4 The Weighted Least Squares Approach -- Cited Literature and References -- Exercises for Chapter 6 -- Questions for Chapter 6 -- 7 Multivariate Distributions Inference Regression and Canonical Correlation -- 7.1 Multivariate Random Variables and Samples -- 7.2 The Multivariate Normal Distribution -- 7.3 Testing for Normality Outliers and Robust Estimation -- 7.4 Inference for the Multivariate Normal -- 7.5 Multivariate Regression and Canonical Correlation -- Cited Literature and References -- Exercises for Chapter 7 -- Questions for Chapter 7 -- 8 Manova Discriminant Analysis and Qualitative Response Models -- 8.1 Multivariate Analysis of Variance -- 8.2 Discriminant Analysis -- 8.3 Qualitative Response Regression Models and Logistic Regression -- 9 Principal Components Factors and Correspondence Analysis -- 9.1 Principal Components -- 9.2 The Exploratory Factor Analysis Model -- 9.3 Singular Value Decomposition and Matrix Approximation -- 9.4 Correspondence Analysis -- Cited Literature and References -- Exercises for Chapter 9 -- Questions for Chapter 9 -- 10 Cluster Analysis and Multidimensional Scaling -- 10.1 Proximity Matrices Derived from Data Matrices -- 10.2 Cluster Analysis -- 10.3 Multidimensional Scaling -- Cited Literature and References -- Exercises for Chapter 10 -- Questions for Chapter 10 -- 1. Matrix Algebra -- 1.1 Matrices -- Matrix -- Transpose of a Matrix -- Row Vector and Column Vector -- Square Matrix -- Symmetric Matrix -- Diagonal Elements -- Trace of a Matrix -- Null or Zero Matrix -- Identity Matrix -- Diagonal Matrix -- Submatrix -- 1.2 Matrix Operations -- Equality of Matrices -- Addition of Matrices -- Additive Inverse -- Scalar Multiplication of a Matrix -- Product of Two Matrices -- Multiplicative Inverse -- Idempotent Matrix -- Kronecker Product -- 1.3 Determinants and Rank -- Determinant -- Nonsingular -- Relation Between Inverse -- and Determinant -- Rank of a Matrix -- 1.4 Quadratic Forms and Positive Definite Matrices -- Quadratic Form -- Congruent Matrix -- Positive Definite -- Positive Semidefinite -- Negative Definite -- Non-negative Definite -- 1.5 Partitioned Matrices -- Product of Partitioned Matrices -- Inverse of a Parti-tioned Matrix -- Determinant of a Partitioned Matrix -- 1.6 Expectations of Random Matrices -- 1.7 Derivatives of Matrix Expressions -- 2. Linear Algebra -- 2.1 Geometric Representation for Vectors -- n Dimensional Space -- Directed Line Segment -- Coordinates -- Addition of Vectors -- Scalar Multiplication -- Length of a Vector -- Angle Between Vectors -- Orthogonal Vectors -- Projection -- 2.2 Linear Dependence And Linear Transformations -- Linearly Dependent Vectors -- Linearly Independent Vectors -- Basis for an n-Dimensional Space -- Generation of a Vector Space and Rank of a Matrix -- Linear Transformation -- Orthogonal Transformation -- Rotation -- Orthogonal Matri -- 2.3 Systems of Equations -- Solution Vector for a System of Equations -- Homoge-neous Equations — Trivial and Nontrivial Solutions -- 2.4 Column Spaces -- Projection Operators and Least -- Squares -- Column Space -- Orthogonal Complement -- Projection -- Ordinary Least Squares Solution Vector -- Idempotent Matrix — Projection Operator -- 3. Eigenvalue Structure and Singular Value Decomposition -- 3.1 Eigenvalue Structure for Square Matrices -- Eigenvalues and Eigenvectors -- Characteristic Polynomial -- Characteristic Roots -- Latent Roots -- Eigen-values -- Eigenvalues and Eignevectors for Real Symmetric Matrices and Some Properties -- Spectral Decomposition -- Matrix Approximation -- Eigenvalues for Nonnegative Definite Matrices -- 3.2 Singular Value Decomposition -- Left and Right Singular Vectors -- Complete Singular Value Decomposition -- Generalized Singular Value Decomposition -- Relationship to Spectral Decomposition and Eigenvalues -- Data Appendix For Volume II -- Data Set V1 -- Data Set V2 -- Data Set V3 -- Data Set V4 -- Data Set V5 -- Data Set V6 -- Data Set V7 -- Data Set V8 -- Data Set V9 -- Data Set V10 -- Data Set Vll -- Data Set V12 -- Data Set V13 -- Data Set V14 -- Data Set V15 -- Data Set V16 -- Data Set V17 -- Data Set V18 -- Data Set V19 -- Data Set V20 -- Data Set V21 -- Data Set V22 -- Table V1 -- Table V2 -- Table V3 -- Table V4 -- Table V5 -- Table V6 -- Table V7 -- Table V8 -- Table V9 -- Table V10 -- Table V11 -- Table V12 -- Table V13 -- Table V14 -- Table V15 -- Table V16 -- Table V17 -- Table V18 -- Table V19 -- Table V20 -- Table V21 -- Table V22 -- Author Index.
Record Nr. UNINA-9910480479303321
Jobson J.D  
New York, NY : , : Springer New York : , : Imprint : Springer, , 1992
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Applied Multivariate Data Analysis [[electronic resource] ] : Volume II: Categorical and Multivariate Methods / / by J.D. Jobson
Applied Multivariate Data Analysis [[electronic resource] ] : Volume II: Categorical and Multivariate Methods / / by J.D. Jobson
Autore Jobson J.D
Edizione [1st ed. 1992.]
Pubbl/distr/stampa New York, NY : , : Springer New York : , : Imprint : Springer, , 1992
Descrizione fisica 1 online resource (XXIX, 732 p.)
Disciplina 519
Collana Springer Texts in Statistics
Soggetto topico Applied mathematics
Engineering mathematics
Statistics 
Medicine
Applications of Mathematics
Statistics for Business, Management, Economics, Finance, Insurance
Statistics for Life Sciences, Medicine, Health Sciences
Medicine/Public Health, general
ISBN 1-4612-0921-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 6 Contingency Tables -- 6.1 Multivariate Data Analysis Data Matrices and Measurement Scales -- 6.2 Two-Dimensional Contingency Tables -- 6.3 Multidimensional Contingency Tables -- 6.4 The Weighted Least Squares Approach -- Cited Literature and References -- Exercises for Chapter 6 -- Questions for Chapter 6 -- 7 Multivariate Distributions Inference Regression and Canonical Correlation -- 7.1 Multivariate Random Variables and Samples -- 7.2 The Multivariate Normal Distribution -- 7.3 Testing for Normality Outliers and Robust Estimation -- 7.4 Inference for the Multivariate Normal -- 7.5 Multivariate Regression and Canonical Correlation -- Cited Literature and References -- Exercises for Chapter 7 -- Questions for Chapter 7 -- 8 Manova Discriminant Analysis and Qualitative Response Models -- 8.1 Multivariate Analysis of Variance -- 8.2 Discriminant Analysis -- 8.3 Qualitative Response Regression Models and Logistic Regression -- 9 Principal Components Factors and Correspondence Analysis -- 9.1 Principal Components -- 9.2 The Exploratory Factor Analysis Model -- 9.3 Singular Value Decomposition and Matrix Approximation -- 9.4 Correspondence Analysis -- Cited Literature and References -- Exercises for Chapter 9 -- Questions for Chapter 9 -- 10 Cluster Analysis and Multidimensional Scaling -- 10.1 Proximity Matrices Derived from Data Matrices -- 10.2 Cluster Analysis -- 10.3 Multidimensional Scaling -- Cited Literature and References -- Exercises for Chapter 10 -- Questions for Chapter 10 -- 1. Matrix Algebra -- 1.1 Matrices -- Matrix -- Transpose of a Matrix -- Row Vector and Column Vector -- Square Matrix -- Symmetric Matrix -- Diagonal Elements -- Trace of a Matrix -- Null or Zero Matrix -- Identity Matrix -- Diagonal Matrix -- Submatrix -- 1.2 Matrix Operations -- Equality of Matrices -- Addition of Matrices -- Additive Inverse -- Scalar Multiplication of a Matrix -- Product of Two Matrices -- Multiplicative Inverse -- Idempotent Matrix -- Kronecker Product -- 1.3 Determinants and Rank -- Determinant -- Nonsingular -- Relation Between Inverse -- and Determinant -- Rank of a Matrix -- 1.4 Quadratic Forms and Positive Definite Matrices -- Quadratic Form -- Congruent Matrix -- Positive Definite -- Positive Semidefinite -- Negative Definite -- Non-negative Definite -- 1.5 Partitioned Matrices -- Product of Partitioned Matrices -- Inverse of a Parti-tioned Matrix -- Determinant of a Partitioned Matrix -- 1.6 Expectations of Random Matrices -- 1.7 Derivatives of Matrix Expressions -- 2. Linear Algebra -- 2.1 Geometric Representation for Vectors -- n Dimensional Space -- Directed Line Segment -- Coordinates -- Addition of Vectors -- Scalar Multiplication -- Length of a Vector -- Angle Between Vectors -- Orthogonal Vectors -- Projection -- 2.2 Linear Dependence And Linear Transformations -- Linearly Dependent Vectors -- Linearly Independent Vectors -- Basis for an n-Dimensional Space -- Generation of a Vector Space and Rank of a Matrix -- Linear Transformation -- Orthogonal Transformation -- Rotation -- Orthogonal Matri -- 2.3 Systems of Equations -- Solution Vector for a System of Equations -- Homoge-neous Equations — Trivial and Nontrivial Solutions -- 2.4 Column Spaces -- Projection Operators and Least -- Squares -- Column Space -- Orthogonal Complement -- Projection -- Ordinary Least Squares Solution Vector -- Idempotent Matrix — Projection Operator -- 3. Eigenvalue Structure and Singular Value Decomposition -- 3.1 Eigenvalue Structure for Square Matrices -- Eigenvalues and Eigenvectors -- Characteristic Polynomial -- Characteristic Roots -- Latent Roots -- Eigen-values -- Eigenvalues and Eignevectors for Real Symmetric Matrices and Some Properties -- Spectral Decomposition -- Matrix Approximation -- Eigenvalues for Nonnegative Definite Matrices -- 3.2 Singular Value Decomposition -- Left and Right Singular Vectors -- Complete Singular Value Decomposition -- Generalized Singular Value Decomposition -- Relationship to Spectral Decomposition and Eigenvalues -- Data Appendix For Volume II -- Data Set V1 -- Data Set V2 -- Data Set V3 -- Data Set V4 -- Data Set V5 -- Data Set V6 -- Data Set V7 -- Data Set V8 -- Data Set V9 -- Data Set V10 -- Data Set Vll -- Data Set V12 -- Data Set V13 -- Data Set V14 -- Data Set V15 -- Data Set V16 -- Data Set V17 -- Data Set V18 -- Data Set V19 -- Data Set V20 -- Data Set V21 -- Data Set V22 -- Table V1 -- Table V2 -- Table V3 -- Table V4 -- Table V5 -- Table V6 -- Table V7 -- Table V8 -- Table V9 -- Table V10 -- Table V11 -- Table V12 -- Table V13 -- Table V14 -- Table V15 -- Table V16 -- Table V17 -- Table V18 -- Table V19 -- Table V20 -- Table V21 -- Table V22 -- Author Index.
Record Nr. UNINA-9910789344203321
Jobson J.D  
New York, NY : , : Springer New York : , : Imprint : Springer, , 1992
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Applied Multivariate Data Analysis [[electronic resource] ] : Volume II: Categorical and Multivariate Methods / / by J.D. Jobson
Applied Multivariate Data Analysis [[electronic resource] ] : Volume II: Categorical and Multivariate Methods / / by J.D. Jobson
Autore Jobson J.D
Edizione [1st ed. 1992.]
Pubbl/distr/stampa New York, NY : , : Springer New York : , : Imprint : Springer, , 1992
Descrizione fisica 1 online resource (XXIX, 732 p.)
Disciplina 519
Collana Springer Texts in Statistics
Soggetto topico Applied mathematics
Engineering mathematics
Statistics 
Medicine
Applications of Mathematics
Statistics for Business, Management, Economics, Finance, Insurance
Statistics for Life Sciences, Medicine, Health Sciences
Medicine/Public Health, general
ISBN 1-4612-0921-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 6 Contingency Tables -- 6.1 Multivariate Data Analysis Data Matrices and Measurement Scales -- 6.2 Two-Dimensional Contingency Tables -- 6.3 Multidimensional Contingency Tables -- 6.4 The Weighted Least Squares Approach -- Cited Literature and References -- Exercises for Chapter 6 -- Questions for Chapter 6 -- 7 Multivariate Distributions Inference Regression and Canonical Correlation -- 7.1 Multivariate Random Variables and Samples -- 7.2 The Multivariate Normal Distribution -- 7.3 Testing for Normality Outliers and Robust Estimation -- 7.4 Inference for the Multivariate Normal -- 7.5 Multivariate Regression and Canonical Correlation -- Cited Literature and References -- Exercises for Chapter 7 -- Questions for Chapter 7 -- 8 Manova Discriminant Analysis and Qualitative Response Models -- 8.1 Multivariate Analysis of Variance -- 8.2 Discriminant Analysis -- 8.3 Qualitative Response Regression Models and Logistic Regression -- 9 Principal Components Factors and Correspondence Analysis -- 9.1 Principal Components -- 9.2 The Exploratory Factor Analysis Model -- 9.3 Singular Value Decomposition and Matrix Approximation -- 9.4 Correspondence Analysis -- Cited Literature and References -- Exercises for Chapter 9 -- Questions for Chapter 9 -- 10 Cluster Analysis and Multidimensional Scaling -- 10.1 Proximity Matrices Derived from Data Matrices -- 10.2 Cluster Analysis -- 10.3 Multidimensional Scaling -- Cited Literature and References -- Exercises for Chapter 10 -- Questions for Chapter 10 -- 1. Matrix Algebra -- 1.1 Matrices -- Matrix -- Transpose of a Matrix -- Row Vector and Column Vector -- Square Matrix -- Symmetric Matrix -- Diagonal Elements -- Trace of a Matrix -- Null or Zero Matrix -- Identity Matrix -- Diagonal Matrix -- Submatrix -- 1.2 Matrix Operations -- Equality of Matrices -- Addition of Matrices -- Additive Inverse -- Scalar Multiplication of a Matrix -- Product of Two Matrices -- Multiplicative Inverse -- Idempotent Matrix -- Kronecker Product -- 1.3 Determinants and Rank -- Determinant -- Nonsingular -- Relation Between Inverse -- and Determinant -- Rank of a Matrix -- 1.4 Quadratic Forms and Positive Definite Matrices -- Quadratic Form -- Congruent Matrix -- Positive Definite -- Positive Semidefinite -- Negative Definite -- Non-negative Definite -- 1.5 Partitioned Matrices -- Product of Partitioned Matrices -- Inverse of a Parti-tioned Matrix -- Determinant of a Partitioned Matrix -- 1.6 Expectations of Random Matrices -- 1.7 Derivatives of Matrix Expressions -- 2. Linear Algebra -- 2.1 Geometric Representation for Vectors -- n Dimensional Space -- Directed Line Segment -- Coordinates -- Addition of Vectors -- Scalar Multiplication -- Length of a Vector -- Angle Between Vectors -- Orthogonal Vectors -- Projection -- 2.2 Linear Dependence And Linear Transformations -- Linearly Dependent Vectors -- Linearly Independent Vectors -- Basis for an n-Dimensional Space -- Generation of a Vector Space and Rank of a Matrix -- Linear Transformation -- Orthogonal Transformation -- Rotation -- Orthogonal Matri -- 2.3 Systems of Equations -- Solution Vector for a System of Equations -- Homoge-neous Equations — Trivial and Nontrivial Solutions -- 2.4 Column Spaces -- Projection Operators and Least -- Squares -- Column Space -- Orthogonal Complement -- Projection -- Ordinary Least Squares Solution Vector -- Idempotent Matrix — Projection Operator -- 3. Eigenvalue Structure and Singular Value Decomposition -- 3.1 Eigenvalue Structure for Square Matrices -- Eigenvalues and Eigenvectors -- Characteristic Polynomial -- Characteristic Roots -- Latent Roots -- Eigen-values -- Eigenvalues and Eignevectors for Real Symmetric Matrices and Some Properties -- Spectral Decomposition -- Matrix Approximation -- Eigenvalues for Nonnegative Definite Matrices -- 3.2 Singular Value Decomposition -- Left and Right Singular Vectors -- Complete Singular Value Decomposition -- Generalized Singular Value Decomposition -- Relationship to Spectral Decomposition and Eigenvalues -- Data Appendix For Volume II -- Data Set V1 -- Data Set V2 -- Data Set V3 -- Data Set V4 -- Data Set V5 -- Data Set V6 -- Data Set V7 -- Data Set V8 -- Data Set V9 -- Data Set V10 -- Data Set Vll -- Data Set V12 -- Data Set V13 -- Data Set V14 -- Data Set V15 -- Data Set V16 -- Data Set V17 -- Data Set V18 -- Data Set V19 -- Data Set V20 -- Data Set V21 -- Data Set V22 -- Table V1 -- Table V2 -- Table V3 -- Table V4 -- Table V5 -- Table V6 -- Table V7 -- Table V8 -- Table V9 -- Table V10 -- Table V11 -- Table V12 -- Table V13 -- Table V14 -- Table V15 -- Table V16 -- Table V17 -- Table V18 -- Table V19 -- Table V20 -- Table V21 -- Table V22 -- Author Index.
Record Nr. UNINA-9910811741603321
Jobson J.D  
New York, NY : , : Springer New York : , : Imprint : Springer, , 1992
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui