Электронная библиотека Попечительского советамеханико-математического факультета Московского государственного университета
 Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум Авторизация Поиск по указателям     Vogel C.R. — Computational Methods for Inverse Problems (Frontiers in Applied Mathematics) Обсудите книгу на научном форуме Нашли опечатку?Выделите ее мышкой и нажмите Ctrl+Enter Название: Computational Methods for Inverse Problems (Frontiers in Applied Mathematics) Автор: Vogel C.R. Аннотация: Provides the reader with a basic understanding of both the underlying mathematics and the computational methods used to solve inverse problems. It also addresses specialized topics like image reconstruction, parameter identification, total variation methods, nonnegativity constraints, and regularization parameter selection methods. Язык: Рубрика: Математика/ Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 2002 Количество страниц: 183 Добавлена в каталог: 31.10.2010 Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID Предметный указатель method      98 Active set      155 Asymptotic equality      114 Autocorrelation      50 Bayes’ Law      48 Best linear unbiased estimator      51 BFGS method      36 BFGS method, limited memory      36 Big “O” notation      114 Binding set      162 Bounded variation      147 Circulant, block matrix      72 Circulant, matrix      68 Circulant, right shift matrix      69 Compact operator      17 Complementarity      155 Complementarity for nonnegativity      156 Complementarity, strict      155 Condition number      30 Conditional, expectation      47 Conditional, probability      47 Conjugate gradient method, linear      31 Conjugate gradient method, nonlinear      34 Conjugate gradient method, preconditioned      33 Conjugate, functional      136 Conjugate, set      136 Convergence rate, linear      29 Convergence rate, quadratic      29 Convergence rate, superlinear      29 Convex, functional      21 Convex, projection      155 Convex, set      21 Convolution theorem      60 Convolution, continuous one-dimensional      1 Convolution, continuous two-dimensional      59 Convolution, discrete one-dimensional      64 Convolution, discrete two-dimensional      65 Covariance      45 Cross correlation      50 Cumulative distribution function      42 Deblurring      59 Degenerate critical point      156 Descent direction      30 Dirichlet boundary conditions      75 Discrepancy principle      8 104 Distributed parameter system      86 Divergence      145 Dual representation      137 EMLS algorithm      166 Energy, inner product      30 Energy, norm      30 entropy      25 Estimation error      97 Expectation maximization algorithm      54 165 Expected value      45 Face      160 Fast Fourier Transform      66 Fast Fourier transform, two-dimensional      67 Feasible, point      154 Feasible, set      154 Fenchel transform      136 Filter function      3 Finite element method      90 Fourier, continuous transform      60 181 182 Fourier, discrete one-dimensional transform      64 Fourier, discrete two-dimensional transform      65 Fourier, matrix      64 Frechet derivative      22 Fredholm first kind integral equation      1 Free variables      155 Frobenius      14 Galerkin’s method      90 Gateaux derivative      22 Gauss — Markov theorem      51 Gauss — Newton approximation      89 Gaussian distribution      45 Generalized cross validation      103 Generalized inverse      18 Globalization      35 Gradient      22 Gradient projection conjugate gradient method      161 Gradient projection method      157 Gram matrix      16 harmonic oscillator      85 hessian      24 Huber function      132 Ill-posed equation      16 Inactive set      155 Independence      44 Influence matrix      98 110 Karush — Kuhn — Tucker conditions      155 Kullback-Leibler information divergence      25 L-curve      106 Lagged diffusivity fixed point iteration      135 Lagrange multiplier      155 Landweber iteration      10 Laplacian, discrete      74 Least squares solution      19 Levenberg — Marquardt method      89 lexicographical ordering      71 Likelihood function      46 Line search      30 Line search, inexact      36 Line search, projected      158 Line search, quadratic backtracking      38 Linear independence constraint qualification      155 Load vector      91 Log likelihood function      46 Maximum a posteriori estimator      48 Maximum likelihood estimator      46 Mean      45 Mean squared predictive error      98 Minimum bound method      107 Modified residual norm steepest descent algorithm      169 Neumann boundary conditions      75 Newton’s method      34 Nondegenerate critical point      156 Nonnegativity constraints      151 Normal equations      76 Order optimal      8 Orthonormal      16 Output least squares      86 87 Parameter identification      85 Penalty functional      24 Periodic extension in one dimension      64 Periodic extension in two dimensions      65 Point spread function      59 Poisson distribution      45 Positive, definite      14 Positive, semidefinite      14 Predictive error      97 110 Predictive risk      98 Primal-dual Newton method      136 Prior      49 Probability, density function      42 Probability, joint      46 Probability, marginal      46 Probability, mass function      42 Probability, space      41 Projected gradient      156 Projected Newton method      158 Pseudo-inverse      18 Random variable      42 Randomized trace estimate      101 Rank      18 Reduced Hessian      159 Regular point      155 Regularization, functional      24 Regularization, generalized Tikhonov      24 Regularization, parameter      5 Regularized residual      99 Richardson — Lucy iteration      165 Sample space      41 Saturation      119 Self-adjoint operator      14 Singular system      17 Singular value decomposition      3 18 Source condition      7 State, equation      86 State, variable      85 Steepest descent method      30 Stiffness matrix      91 Strong positivity      14 Symmetric, positive definite      29 System parameters      85 Tensor product      72 Tikhonov      5 Toeplitz, block matrix      71 Toeplitz, matrix      68 Total variation      9 129 Trace      50 Trace Lemma      98 Truncated singular value decomposition      5 Trust region      35 Unbiased predictive risk estimator      99 Unbiased predictive risk estimator method      98 Uniform distribution      43 Weak, convergence      21 Weak, lower semicontinuity      21 Well-posed equation      16 White noise      98 Wolfe conditions      37 Реклама     © Электронная библиотека попечительского совета мехмата МГУ, 2004-2021 | | О проекте