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Control theoretic splines [[electronic resource] ] : optimal control, statistics, and path planning / / Magnus Egerstedt and Clyde Martin
| Control theoretic splines [[electronic resource] ] : optimal control, statistics, and path planning / / Magnus Egerstedt and Clyde Martin |
| Autore | Egerstedt Magnus |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, c2010 |
| Descrizione fisica | 1 online resource (227 p.) |
| Disciplina | 511/.42 |
| Altri autori (Persone) | MartinClyde |
| Collana | Princeton series in applied mathematics |
| Soggetto topico |
Interpolation
Smoothing (Numerical analysis) Smoothing (Statistics) Curve fitting Splines Spline theory |
| Soggetto non controllato |
Accuracy and precision
Affine space Affine variety Algorithm Approximation Arbitrarily large B-spline Banach space Bernstein polynomial Bifurcation theory Big O notation Birkhoff interpolation Boundary value problem Bézier curve Chaos theory Computation Computational problem Condition number Constrained optimization Continuous function (set theory) Continuous function Control function (econometrics) Control theory Controllability Convex optimization Convolution Cubic Hermite spline Data set Derivative Differentiable function Differential equation Dimension (vector space) Directional derivative Discrete mathematics Dynamic programming Equation Estimation Filtering problem (stochastic processes) Gaussian quadrature Gradient descent Gramian matrix Growth curve (statistics) Hermite interpolation Hermite polynomials Hilbert projection theorem Hilbert space Initial condition Initial value problem Integral equation Iterative method Karush–Kuhn–Tucker conditions Kernel method Lagrange polynomial Law of large numbers Least squares Linear algebra Linear combination Linear filter Linear map Mathematical optimization Mathematics Maxima and minima Monotonic function Nonlinear programming Nonlinear system Normal distribution Numerical analysis Numerical stability Optimal control Optimization problem Ordinary differential equation Orthogonal polynomials Parameter Piecewise Pointwise Polynomial interpolation Polynomial Probability distribution Quadratic programming Random variable Rate of convergence Ratio test Riccati equation Simpson's rule Simultaneous equations Smoothing spline Smoothing Smoothness Special case Spline (mathematics) Spline interpolation Statistic Stochastic calculus Stochastic Telemetry Theorem Trapezoidal rule Waypoint Weight function Without loss of generality |
| ISBN |
1-282-45796-9
1-282-93606-9 9786612936067 9786612457968 1-4008-3387-6 |
| Classificazione | SK 880 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Introduction -- Chapter Two. Control Systems and Minimum Norm Problems -- Chapter Three. Eight Fundamental Problems -- Chapter Four. Smoothing Splines and Generalizations -- Chapter Five. Approximations and Limiting Concepts -- Chapter Six. Smoothing Splines with Continuous Data -- Chapter Seven. Monotone Smoothing Splines -- Chapter Eight. Smoothing Splines as Integral Filters -- Chapter Nine. Optimal Transfer between Affine Varieties -- Chapter Ten. Path Planning and Telemetry -- Chapter Eleven. Node Selection -- Bibliography -- Index |
| Record Nr. | UNINA-9910780863803321 |
Egerstedt Magnus
|
||
| Princeton, : Princeton University Press, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Control theoretic splines [[electronic resource] ] : optimal control, statistics, and path planning / / Magnus Egerstedt and Clyde Martin
| Control theoretic splines [[electronic resource] ] : optimal control, statistics, and path planning / / Magnus Egerstedt and Clyde Martin |
| Autore | Egerstedt Magnus |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, c2010 |
| Descrizione fisica | 1 online resource (227 p.) |
| Disciplina | 511/.42 |
| Altri autori (Persone) | MartinClyde |
| Collana | Princeton series in applied mathematics |
| Soggetto topico |
Interpolation
Smoothing (Numerical analysis) Smoothing (Statistics) Curve fitting Splines Spline theory |
| Soggetto non controllato |
Accuracy and precision
Affine space Affine variety Algorithm Approximation Arbitrarily large B-spline Banach space Bernstein polynomial Bifurcation theory Big O notation Birkhoff interpolation Boundary value problem Bézier curve Chaos theory Computation Computational problem Condition number Constrained optimization Continuous function (set theory) Continuous function Control function (econometrics) Control theory Controllability Convex optimization Convolution Cubic Hermite spline Data set Derivative Differentiable function Differential equation Dimension (vector space) Directional derivative Discrete mathematics Dynamic programming Equation Estimation Filtering problem (stochastic processes) Gaussian quadrature Gradient descent Gramian matrix Growth curve (statistics) Hermite interpolation Hermite polynomials Hilbert projection theorem Hilbert space Initial condition Initial value problem Integral equation Iterative method Karush–Kuhn–Tucker conditions Kernel method Lagrange polynomial Law of large numbers Least squares Linear algebra Linear combination Linear filter Linear map Mathematical optimization Mathematics Maxima and minima Monotonic function Nonlinear programming Nonlinear system Normal distribution Numerical analysis Numerical stability Optimal control Optimization problem Ordinary differential equation Orthogonal polynomials Parameter Piecewise Pointwise Polynomial interpolation Polynomial Probability distribution Quadratic programming Random variable Rate of convergence Ratio test Riccati equation Simpson's rule Simultaneous equations Smoothing spline Smoothing Smoothness Special case Spline (mathematics) Spline interpolation Statistic Stochastic calculus Stochastic Telemetry Theorem Trapezoidal rule Waypoint Weight function Without loss of generality |
| ISBN |
1-282-45796-9
1-282-93606-9 9786612936067 9786612457968 1-4008-3387-6 |
| Classificazione | SK 880 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Introduction -- Chapter Two. Control Systems and Minimum Norm Problems -- Chapter Three. Eight Fundamental Problems -- Chapter Four. Smoothing Splines and Generalizations -- Chapter Five. Approximations and Limiting Concepts -- Chapter Six. Smoothing Splines with Continuous Data -- Chapter Seven. Monotone Smoothing Splines -- Chapter Eight. Smoothing Splines as Integral Filters -- Chapter Nine. Optimal Transfer between Affine Varieties -- Chapter Ten. Path Planning and Telemetry -- Chapter Eleven. Node Selection -- Bibliography -- Index |
| Record Nr. | UNINA-9910807652503321 |
|
Egerstedt Magnus
|
||
| Princeton, : Princeton University Press, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 |
|
Golub Gene H (Gene Howard), <1932-2007.>
|
||
| Princeton, N.J., : Princeton University Press, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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.>
|
||
| Princeton, N.J., : Princeton University Press, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||