Cuyt A., Wuytack L. — Nonlinear methods in numerical analysis :: Электронная библиотека попечительского совета мехмата МГУ

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Cuyt A., Wuytack L. — Nonlinear methods in numerical analysis

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Название: Nonlinear methods in numerical analysis

Авторы: Cuyt A., Wuytack L.

Аннотация:

While most textbooks on Numerical Analysis discuss linear techniques for the solution of various numerical problems, this book introduces and illustrates nonlinear methods. It presents several nonlinear techniques resulting mainly from the use of Padé approximants and rational interpolants.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1987

Количество страниц: 278

Добавлена в каталог: 06.12.2009

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

$\epsilon$ -algorithm, multivariate      114
$\epsilon$ -algorithm, univariate      92 197
$\epsilon$ -table      94 198
$\rho$ -algorithm      213
A-stable method      240
Aitken $\Delta^2$ process      265
Asymptotic error constant      221
Backward algorithm      31
Block-structure      68
Block-structure, multivariate      109
Bulirsch — Stoer algorithm      209
Continued fraction      3
Continued fraction expansion      25
Continued fraction, associated      18
Continued fraction, branched      41 169
Continued fraction, contraction of      7
Continued fraction, convergence of      20
Continued fraction, convergent of      3
Continued fraction, corresponding      17 76
Continued fraction, equivalent      15
Continued fraction, evaluation of      31
Continued fraction, even part of      9 80 84
Continued fraction, extension of      55
Continued fraction, generalized      56
Continued fraction, interpolating      138 169
Continued fraction, odd part of      9 80 84
Continued fraction, reduced      7
Continued fraction, value of      3
Convergence acceleration      197
Convergence in measure      98
Convergence of continued fraction      20
Convergence of Pade approximates      96
Convergence of rational interpolants      167
Corrector method      144
Covanance, homografic      118 119
Covanance, reciprocal      118 119
Denominator, nth      3
Denominator, partial      3
Determinant formulas      85 162 181
Direct method      220
Divided difference      145 163 233
Divided difference, Multivariate      175
Equivalence transformation      6
Euler — Minding series, Б      46
Explicit method      239
Extrapolation      209
Extrapolation point      209
FORWARD ALGORITHM      32
Fredholm integral equation      260
Gauss quadrature      254
Generalized continued fraction      56
Generalized polynomial      190
Generalized rational interpolant      190
Halley's method      221 223
Hankel determinant      233
Implicit method      242
Inverse difference      189 233
Inverse difference, bivariate      169
Inverse method      220
Iteration, multipoint      227
Iteration, one-point      221
Kernel of finite rank      261
Kernel, completely continuous      263
Kernel, degenerate      261

Lemniscate      167
Modified convergent      35
Modifying factor      35
Multipoint method      227
Multistep method      241
Neumann series      261
Newton series      157
Newton series, multivariate      236
Newton — Coates formulas      250
Newton — Pade approximant      159
Newton — Pade approximation problem      158
Newton's method      330 223
Newton's method, discretised      231
Numerator, nth      3
Numerator, partial      3
One-point method      221
One-step method      221 239
Order of iteration method      221 227
Order of multistep method      243
Order of one-step method      239
Pade aproximant      65
Pade aproximant, convergence of      96
Pade aproximant, homographic covariance of      118
Pade aproximant, multivariate      109
Pade aproximant, normal      72 114 119
Pade aproximant, reciprocal covariance of      118
Pade operator      100
Pade operator, Continuity of      100
Pade-type approximation      120
Predictor-corrector method      244
qd-algorithm      79
qd-algorithm, extended      81
qd-algorithm, generalized      148 236
qd-algorithm, multivariate      115
qd-algorithm, progressive form of      235
qd-table      80
qd-table, extended      82
Rational Hermite interpolant      167
Rational Hermite interpolant, table of      159
Rational Hermite interpolation problem      156
Rational interpolant      130
Rational interpolant, generalized      190
Rational interpolant, multivariate      169
Rational interpolant, normal      135
Rational interpolant, table of      182
Rational interpolation problem      129
Reciprocal difference      143
Recurrence relations      4
Recursive algorithm      90 153 209
Sequence, totally monotone      198
Sequence, totally oscillating      199
Series, Stieltjes      29 99
Series, ultimately k-normal      234 236
Stieltjes series      29 99
Stieltjes transform      29
Stoer's method      153
Thiele continued fraction expansion      164
Thiele interpolating continued fraction      19
Thiele interpolating continued fraction, branched      141 170
Tiff differential equation      240
Ultimately Abnormal series      234 236
Unconditionally stable method      259
Viscovatov, method of      16
Viscovatov, multivariate algorithm of      49
Weights      255

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