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Contributions to the Theory of Nonlinear Oscillations (AM-45), Volume V / / Lamberto Cesari, Solomon Lefschetz, J. LaSalle
| Contributions to the Theory of Nonlinear Oscillations (AM-45), Volume V / / Lamberto Cesari, Solomon Lefschetz, J. LaSalle |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (300 pages) : illustrations |
| Disciplina | 531/.32 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Oscillations |
| Soggetto non controllato |
Absolute value
Abstract algebra Affine plane Affine space Algebraic Method Analytic function Bifurcation theory Big O notation Canonical form Cartesian coordinate system Cauchy sequence Characteristic exponent Characteristic polynomial Clockwise Coefficient matrix Coefficient Complete theory Complex conjugate Complex number Complex plane Computation Connected space Continuous function Control function (econometrics) Convex set Corollary Critical frequency Curve Degeneracy (mathematics) Degrees of freedom (statistics) Determinant Differentiable function Differentiable manifold Differential equation Dimension Dimensional analysis Divisor (algebraic geometry) Eigenvalues and eigenvectors Elliptic function Endomorphism Equation Equations of motion Existence theorem Existential quantification Fixed point (mathematics) Floquet theory Homeomorphism Homogeneous function Homotopy Hyperplane Hypersurface Implicit function theorem Interval (mathematics) Limit cycle Limit point Line element Linear algebra Linear differential equation Linear map Linear space (geometry) Linearity Lipschitz continuity Lyapunov stability Manifold Matrix function Maxima and minima Morphism N-vector Non-associative algebra Nonlinear system Optimal control Orbital stability Parameter Parametrization Periodic function Piecewise Probability Quadratic differential Quadratic function Quadratic Real projective plane Real projective space Scientific notation Second derivative Semicircle Separatrix (mathematics) Sign (mathematics) Special case Submanifold Summation Theorem Theory Topological dynamics Topological space Transpose Two-dimensional space Uniform convergence Uniqueness theorem Vector space Zero of a function |
| ISBN | 1-4008-8264-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- I. The Time Optimal Control Problem / La Salle, J. P. -- II. Continuous Dependence on a Parameter / Jarnik, J. / Kurzweil, J. -- III. Poincare's Perturbation Method and Topological Degree / Cronin, Jane -- IV. On the Behavior of the Solutions of Linear Periodic Differential Systems Near Resonance Points / Hale, Jack K. -- V. On the Stability of Periodic Solutions of Weakly Nonlinear Periodic and Autonomous Differential Systems / Hale, J. K. -- VI. Existence Theorems for Periodic Solutions of Nonlinear Lipschitzian Differential Systems and Fixed Point Theorems / Cesari, Lamberto -- VII. The Applications of a Fixed Point Theorem to a Variety of Non-Linear Stability Problems / Stokes, Arnold -- VIII. Quadratic Differential Equations and Non-Associative Algebras / Markus, Lawrence -- IX. Sur Une Propriété De L'Ensemble Des Thajectoires Bornées De Certains Systèmes Dynamiques / Reeb, Georges -- X. On Lagrange Stable Motions in the Neighborhood of Critical Points / Mendelson, Pinchas -- XI. The Local Theory of Piecewise Continuous Differential Equations / André, J. / Seibert, P. -- XII. Asymptotic Stability in 3-Space / Coleman, Courtney -- XIII. Existence and Uniqueness of the Periodic Solution of an Equation for Autonomous Oscillations / Figueiredo, Rui Pacheco de -- Appendix / Pinney, E. |
| Record Nr. | UNINA-9910154745003321 |
| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Lectures on Differential Equations. (AM-14), Volume 14 / / Solomon Lefschetz
| Lectures on Differential Equations. (AM-14), Volume 14 / / Solomon Lefschetz |
| Autore | Lefschetz Solomon |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (221 pages) |
| Disciplina | 517.38 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Differential equations |
| Soggetto non controllato |
Abscissa
Absolute value Addition Adjoint Algebraic topology Antiderivative Approximation Canonical form Cartesian coordinate system Characteristic equation Characteristic exponent Circumference Coefficient matrix Coefficient Compact space Complex number Complex plane Complex-valued function Condition index Conformal map Connected space Conservation of energy Continuous function Convex hull Coordinate system Corollary Degrees of freedom (statistics) Derivative Determinant Diagram (category theory) Differentiable function Differential equation Dimension Dissipation Eigenvalues and eigenvectors Empty set Entire function Equation Euclidean geometry Euclidean space Existence theorem Existential quantification Exterior (topology) Holomorphic function Homogeneous polynomial Inflection point Initial point Integer Intersection (set theory) Jacobian matrix and determinant Jordan curve theorem Limit point Limit set Line at infinity Linear differential equation Linear map Lipschitz continuity Lyapunov stability Mathematical physics Mathematician Matrix function Maximal set Monotonic function Nonlinear system Notation Open set Parameter Parametric equation Partial derivative Periodic function Phase space Polar coordinate system Polynomial Power series Projective geometry Projective plane Quadratic Radius of convergence Rectangle Regular representation Saddle point Separatrix (mathematics) Set theory Simple polygon Solomon Lefschetz Special case Spherical cap Stereographic projection Subset Summation Theorem Theory Topological property Toroid Two-dimensional space Uniform convergence Upper and lower bounds Variable (mathematics) Vector space Zero of a function |
| ISBN | 1-4008-8194-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- TABLE OF CONTENTS -- CHAPTER I. SOME PRELIMINARY QUESTIONS -- CHAPTER II. DIFFERENTIAL EQUATIONS -- CHAPTER III. LINEAR SYSTEMS -- CHAPTER IV. CRITICAL POINTS AND PERIODIC MOTIONS QUESTIONS OF STABILITY -- CHAPTER V. TWO DIMENSIONAL SYSTEMS -- CHAPTER VI. APPLICATION TO CERTAIN EQUATIONS' OF THE SECOND ORDER -- INDEX |
| Record Nr. | UNINA-9910154749803321 |
Lefschetz Solomon
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Matrices, moments, and quadrature with applications [[electronic resource] /] / Gene H. Golub and Gerard Meurant
| Matrices, moments, and quadrature with applications [[electronic resource] /] / Gene H. Golub and Gerard Meurant |
| Autore | Golub Gene H (Gene Howard), <1932-2007.> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, c2010 |
| Descrizione fisica | 1 online resource (376 p.) |
| Disciplina | 512.9434 |
| Altri autori (Persone) | MeurantGérard A |
| Collana | Princeton series in applied mathematics |
| Soggetto topico |
Matrices
Numerical analysis |
| Soggetto non controllato |
Algorithm
Analysis of algorithms Analytic function Asymptotic analysis Basis (linear algebra) Basis function Biconjugate gradient method Bidiagonal matrix Bilinear form Calculation Characteristic polynomial Chebyshev polynomials Coefficient Complex number Computation Condition number Conjugate gradient method Conjugate transpose Cross-validation (statistics) Curve fitting Degeneracy (mathematics) Determinant Diagonal matrix Dimension (vector space) Eigenvalues and eigenvectors Equation Estimation Estimator Exponential function Factorization Function (mathematics) Function of a real variable Functional analysis Gaussian quadrature Hankel matrix Hermite interpolation Hessenberg matrix Hilbert matrix Holomorphic function Identity matrix Interlacing (bitmaps) Inverse iteration Inverse problem Invertible matrix Iteration Iterative method Jacobi matrix Krylov subspace Laguerre polynomials Lanczos algorithm Linear differential equation Linear regression Linear subspace Logarithm Machine epsilon Matrix function Matrix polynomial Maxima and minima Mean value theorem Meromorphic function Moment (mathematics) Moment matrix Moment problem Monic polynomial Monomial Monotonic function Newton's method Numerical analysis Numerical integration Numerical linear algebra Orthogonal basis Orthogonal matrix Orthogonal polynomials Orthogonal transformation Orthogonality Orthogonalization Orthonormal basis Partial fraction decomposition Polynomial Preconditioner QR algorithm QR decomposition Quadratic form Rate of convergence Recurrence relation Regularization (mathematics) Rotation matrix Singular value Square (algebra) Summation Symmetric matrix Theorem Tikhonov regularization Trace (linear algebra) Triangular matrix Tridiagonal matrix Upper and lower bounds Variable (mathematics) Vector space Weight function |
| ISBN |
1-282-45801-9
1-282-93607-7 9786612458019 1-4008-3388-4 |
| Classificazione | SK 915 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- PART 1. Theory -- Chapter 1. Introduction -- Chapter 2. Orthogonal Polynomials -- Chapter 3. Properties of Tridiagonal Matrices -- Chapter 4. The Lanczos and Conjugate Gradient Algorithms -- Chapter 5. Computation of the Jacobi Matrices -- Chapter 6. Gauss Quadrature -- Chapter 7. Bounds for Bilinear Forms uTƒ(A)v -- Chapter 8. Extensions to Nonsymmetric Matrices -- Chapter 9. Solving Secular Equations -- PART 2. Applications -- Chapter 10. Examples of Gauss Quadrature Rules -- Chapter 11. Bounds and Estimates for Elements of Functions of Matrices -- Chapter 12. Estimates of Norms of Errors in the Conjugate Gradient Algorithm -- Chapter 13. Least Squares Problems -- Chapter 14. Total Least Squares -- Chapter 15. Discrete Ill-Posed Problems -- Bibliography -- Index |
| Record Nr. | UNINA-9910780861503321 |
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Golub Gene H (Gene Howard), <1932-2007.>
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| Princeton, N.J., : Princeton University Press, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Matrices, moments, and quadrature with applications / / Gene H. Golub and Gerard Meurant
| Matrices, moments, and quadrature with applications / / Gene H. Golub and Gerard Meurant |
| Autore | Golub Gene H (Gene Howard), <1932-2007.> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, c2010 |
| Descrizione fisica | 1 online resource (376 p.) |
| Disciplina | 512.9434 |
| Altri autori (Persone) | MeurantGérard A |
| Collana | Princeton series in applied mathematics |
| Soggetto topico |
Matrices
Numerical analysis |
| Soggetto non controllato |
Algorithm
Analysis of algorithms Analytic function Asymptotic analysis Basis (linear algebra) Basis function Biconjugate gradient method Bidiagonal matrix Bilinear form Calculation Characteristic polynomial Chebyshev polynomials Coefficient Complex number Computation Condition number Conjugate gradient method Conjugate transpose Cross-validation (statistics) Curve fitting Degeneracy (mathematics) Determinant Diagonal matrix Dimension (vector space) Eigenvalues and eigenvectors Equation Estimation Estimator Exponential function Factorization Function (mathematics) Function of a real variable Functional analysis Gaussian quadrature Hankel matrix Hermite interpolation Hessenberg matrix Hilbert matrix Holomorphic function Identity matrix Interlacing (bitmaps) Inverse iteration Inverse problem Invertible matrix Iteration Iterative method Jacobi matrix Krylov subspace Laguerre polynomials Lanczos algorithm Linear differential equation Linear regression Linear subspace Logarithm Machine epsilon Matrix function Matrix polynomial Maxima and minima Mean value theorem Meromorphic function Moment (mathematics) Moment matrix Moment problem Monic polynomial Monomial Monotonic function Newton's method Numerical analysis Numerical integration Numerical linear algebra Orthogonal basis Orthogonal matrix Orthogonal polynomials Orthogonal transformation Orthogonality Orthogonalization Orthonormal basis Partial fraction decomposition Polynomial Preconditioner QR algorithm QR decomposition Quadratic form Rate of convergence Recurrence relation Regularization (mathematics) Rotation matrix Singular value Square (algebra) Summation Symmetric matrix Theorem Tikhonov regularization Trace (linear algebra) Triangular matrix Tridiagonal matrix Upper and lower bounds Variable (mathematics) Vector space Weight function |
| ISBN |
1-282-45801-9
1-282-93607-7 9786612458019 1-4008-3388-4 |
| Classificazione | SK 915 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- PART 1. Theory -- Chapter 1. Introduction -- Chapter 2. Orthogonal Polynomials -- Chapter 3. Properties of Tridiagonal Matrices -- Chapter 4. The Lanczos and Conjugate Gradient Algorithms -- Chapter 5. Computation of the Jacobi Matrices -- Chapter 6. Gauss Quadrature -- Chapter 7. Bounds for Bilinear Forms uTƒ(A)v -- Chapter 8. Extensions to Nonsymmetric Matrices -- Chapter 9. Solving Secular Equations -- PART 2. Applications -- Chapter 10. Examples of Gauss Quadrature Rules -- Chapter 11. Bounds and Estimates for Elements of Functions of Matrices -- Chapter 12. Estimates of Norms of Errors in the Conjugate Gradient Algorithm -- Chapter 13. Least Squares Problems -- Chapter 14. Total Least Squares -- Chapter 15. Discrete Ill-Posed Problems -- Bibliography -- Index |
| Record Nr. | UNINA-9910812933703321 |
|
Golub Gene H (Gene Howard), <1932-2007.>
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||
| Princeton, N.J., : Princeton University Press, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Self-Regularity : A New Paradigm for Primal-Dual Interior-Point Algorithms / / Jiming Peng, Cornelis Roos, Tamás Terlaky
| Self-Regularity : A New Paradigm for Primal-Dual Interior-Point Algorithms / / Jiming Peng, Cornelis Roos, Tamás Terlaky |
| Autore | Peng Jiming |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2009] |
| Descrizione fisica | 1 online resource (201 p.) |
| Disciplina | 519.6 |
| Collana | Princeton Series in Applied Mathematics |
| Soggetto topico |
Interior-point methods
Mathematical optimization Programming (Mathematics) Civil & Environmental Engineering Engineering & Applied Sciences Operations Research |
| Soggetto non controllato |
Accuracy and precision
Algorithm Analysis of algorithms Analytic function Associative property Barrier function Binary number Block matrix Combination Combinatorial optimization Combinatorics Complexity Conic optimization Continuous optimization Control theory Convex optimization Delft University of Technology Derivative Differentiable function Directional derivative Division by zero Dual space Duality (mathematics) Duality gap Eigenvalues and eigenvectors Embedding Equation Estimation Existential quantification Explanation Feasible region Filter design Function (mathematics) Implementation Instance (computer science) Invertible matrix Iteration Jacobian matrix and determinant Jordan algebra Karmarkar's algorithm Karush–Kuhn–Tucker conditions Line search Linear complementarity problem Linear function Linear programming Lipschitz continuity Local convergence Loss function Mathematical optimization Mathematician Mathematics Matrix function McMaster University Monograph Multiplication operator Newton's method Nonlinear programming Nonlinear system Notation Operations research Optimal control Optimization problem Parameter (computer programming) Parameter Pattern recognition Polyhedron Polynomial Positive semidefinite Positive-definite matrix Quadratic function Requirement Result Scientific notation Second derivative Self-concordant function Sensitivity analysis Sign (mathematics) Signal processing Simplex algorithm Simultaneous equations Singular value Smoothness Solution set Solver Special case Subset Suggestion Technical report Theorem Theory Time complexity Two-dimensional space Upper and lower bounds Variable (computer science) Variable (mathematics) Variational inequality Variational principle Without loss of generality Worst-case complexity Yurii Nesterov |
| ISBN |
1-282-08760-6
9786612087608 1-4008-2513-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Acknowledgments -- Notation -- List of Abbreviations -- Chapter 1. Introduction and Preliminaries -- Chapter 2. Self-Regular Functions and Their Properties -- Chapter 3. Primal-Dual Algorithms for Linear Optimization Based on Self-Regular Proximities -- Chapter 4. Interior-Point Methods for Complementarity Problems Based on Self- Regular Proximities -- Chapter 5. Primal-Dual Interior-Point Methods for Semidefinite Optimization Based on Self-Regular Proximities -- Chapter 6. Primal-Dual Interior-Point Methods for Second-Order Conic Optimization Based on Self-Regular Proximities -- Chapter 7. Initialization: Embedding Models for Linear Optimization, Complementarity Problems, Semidefinite Optimization and Second-Order Conic Optimization -- Chapter 8. Conclusions -- References -- Index |
| Record Nr. | UNINA-9910777727403321 |
|
Peng Jiming
|
||
| Princeton, NJ : , : Princeton University Press, , [2009] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Self-Regularity : A New Paradigm for Primal-Dual Interior-Point Algorithms / / Jiming Peng, Cornelis Roos, Tamás Terlaky
| Self-Regularity : A New Paradigm for Primal-Dual Interior-Point Algorithms / / Jiming Peng, Cornelis Roos, Tamás Terlaky |
| Autore | Peng Jiming |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2009] |
| Descrizione fisica | 1 online resource (201 p.) |
| Disciplina | 519.6 |
| Collana | Princeton Series in Applied Mathematics |
| Soggetto topico |
Interior-point methods
Mathematical optimization Programming (Mathematics) Civil & Environmental Engineering Engineering & Applied Sciences Operations Research |
| Soggetto non controllato |
Accuracy and precision
Algorithm Analysis of algorithms Analytic function Associative property Barrier function Binary number Block matrix Combination Combinatorial optimization Combinatorics Complexity Conic optimization Continuous optimization Control theory Convex optimization Delft University of Technology Derivative Differentiable function Directional derivative Division by zero Dual space Duality (mathematics) Duality gap Eigenvalues and eigenvectors Embedding Equation Estimation Existential quantification Explanation Feasible region Filter design Function (mathematics) Implementation Instance (computer science) Invertible matrix Iteration Jacobian matrix and determinant Jordan algebra Karmarkar's algorithm Karush–Kuhn–Tucker conditions Line search Linear complementarity problem Linear function Linear programming Lipschitz continuity Local convergence Loss function Mathematical optimization Mathematician Mathematics Matrix function McMaster University Monograph Multiplication operator Newton's method Nonlinear programming Nonlinear system Notation Operations research Optimal control Optimization problem Parameter (computer programming) Parameter Pattern recognition Polyhedron Polynomial Positive semidefinite Positive-definite matrix Quadratic function Requirement Result Scientific notation Second derivative Self-concordant function Sensitivity analysis Sign (mathematics) Signal processing Simplex algorithm Simultaneous equations Singular value Smoothness Solution set Solver Special case Subset Suggestion Technical report Theorem Theory Time complexity Two-dimensional space Upper and lower bounds Variable (computer science) Variable (mathematics) Variational inequality Variational principle Without loss of generality Worst-case complexity Yurii Nesterov |
| ISBN |
1-282-08760-6
9786612087608 1-4008-2513-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Acknowledgments -- Notation -- List of Abbreviations -- Chapter 1. Introduction and Preliminaries -- Chapter 2. Self-Regular Functions and Their Properties -- Chapter 3. Primal-Dual Algorithms for Linear Optimization Based on Self-Regular Proximities -- Chapter 4. Interior-Point Methods for Complementarity Problems Based on Self- Regular Proximities -- Chapter 5. Primal-Dual Interior-Point Methods for Semidefinite Optimization Based on Self-Regular Proximities -- Chapter 6. Primal-Dual Interior-Point Methods for Second-Order Conic Optimization Based on Self-Regular Proximities -- Chapter 7. Initialization: Embedding Models for Linear Optimization, Complementarity Problems, Semidefinite Optimization and Second-Order Conic Optimization -- Chapter 8. Conclusions -- References -- Index |
| Record Nr. | UNINA-9910813827803321 |
|
Peng Jiming
|
||
| Princeton, NJ : , : Princeton University Press, , [2009] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||