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Rall L.B. — Automatic Differentiation: Techniques and Applications
Rall L.B. — Automatic Differentiation: Techniques and Applications

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Название: Automatic Differentiation: Techniques and Applications

Автор: Rall L.B.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1981

Количество страниц: 165

Добавлена в каталог: 23.11.2009

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
A-format      116 117
Addressing, indirect      45
Airey, J. R.      152
ALPAK      154
ALTRAN      154
Approximation, improved      122
Approximation, initial      100 122
Arithmetic mean      116
Arithmetic mean, operation      4
Arithmetic mean, point      116
Arithmetic, interval      36 98 113
Assembly language      3
augment      2 88—90 154
Augmented gradient code list      92
Augmented gradient code list, gradient vector      89
Backward packing      33
Barton, D.      152
Basic representation      5
Basic representation, sequence      5
Bauer, F. L.      120
Bernoulli numbers      145 146
Bilinear operator      104
Bilinear operator, interval      115
Binary operation      5 15
Binomial coefficient      40
Cauchy problem      35 137
Cauchy problem, remainder term      36
Chain rule      11
Circle of convergence      35
Code list      4 5 27
Code list, augmented gradient      92
Code list, complete differential      38
Code list, complete gradient      92
Code list, compound      27
Code list, derivative      28
Code list, differential      28
Code list, function      5 27
Code list, gradient      92
Code list, Hessian      103
Code list, input      31
Code list, Jacobian      99
Code list, output      29 34
Code list, packed      29
Code list, simple      27
Codeable function      4
Coder      5 6 9 34 55 59
Codex      2 6 28 57—61 68 69 80 81 84 85 87 90 99 121 154
Coefficient, binomial      40
Coefficient, sensitivity      120
Coefficient, Taylor      35
Column vector      22 91 92
Compiler      3
Complete derivative code list      29
Complete derivative code list, differential code list      38
Complete derivative code list, gradient code list      92
composition      11
Compound code list      27
Compressor      81
Computation, parallel      8
Consistent norm      104
Constant      3 17
Constant, Lipschitz      118
Constant, literal      17
Constant, numerical      17
Constrained optimization      95
Constraint      94
Constraint, function      96
Continuation method      134
Continuity, Lipschitz      118
Convergence, circle of      35
Counter      59
Critical point      95
cube      124
Current label      45
Curve, homotopy      134
DATA      3 6
Data, base      6
Data, error      112 120
Davidenko's method      134 135
Davidenko, D. F.      134 135
Dependency tables      68
Derivative      9 91
Derivative code list      22
Derivative code list, code list, complete      29
Derivative code list, vector      22
Derivative, Frethet      23 91 100
Derivative, partial      9
Derivative, second      102
Derivative, semi-total      10 23
Destination node      40
Destination node of operation      60
DICTIONARY      27
Difference      99
Differentiable function      9
Differential      17 19 22 99
Differential code list      28
Differential code list, code list, complete      38
Differential code list, vector      22 120
Differential, relative      120
Differential, second      106
Differential, total      19
Differentiation      58
Differentiation, implicit      25
Differentiator      58 61
Directed graph      6
Directed graph, rounding      114
Division, symbolic      51
Element      60
Entry      27
Error term      140 142
Error, absolute      116 117
Error, data      112 120
Error, percentage      116 117
Error, relative      116 117
Error, roundoff      112
Error, truncation      112 140
Euclidean norm      2 3
Eulei — Maclaurin formula, interval      145
Evaluation      58
Explicit formula      25
Extension, interval      48 113
External label      45
Factorable function      5 13
Finite differences      97
Fixed-point problem      122
FORMAC      154
Formal partial derivative      10
Formula      5
FORmula TRANslation      3
Formula, explicit      25
Formula, simple      69
FORTRAN      3 8 34 38 55 58 60 81 84—87 89 114 143
Forward packing      32
Frehet derivative      23 91 100
Function code list      5 27
Function, codeable      4
Function, constraint      96
Function, differentiable      9
Function, factorable      5 13
Function, library      4
Function, power      47
Functional, linear      23 91
Geteaux derivative      23 91 100
Gradient      91
Gradient, code list      92
Gradient, code list, augmented      92
Gradient, code list, complete      92
Gradient, vector      92
Gradient, vector, augmented      89
Gragg, W. B.      127
Graph, directed      6
Graph, Kantorovich      1 6 7
Gray, J. H.      55 57 130 153
Half-width      116
Hansen, E.      126
Harmonic mean      116
Harmonic mean, point      116
Hashing      90
Hassit, A.      58
Hessian code list      103
Hessian code list, matrix      102
Hessian code list, operator      102 105
Higher-level language      3
Homotopy curve      134
Homotopy curve, method      134
Homotopy curve, parameter      134
Implicit differentiation      25
Implicit differentiation, relationship      25
Improved approximation      122
Inclusion monotonicity      113
Indirect addressing      45
Initial approximation      100 122
Initial-value problem      35 137
Inner product      22
Input code list      31
INTE      2 141—151
Integration, numerical      138
Intermediate line      31 60
Intermediate line, storage      60
Internal label      45
Intersection property      142
interval      87 88
Interval arithmetic      36 98 113
Interval arithmetic, arithmetic package      113
Interval arithmetic, bilinear operator      115
Interval arithmetic, Euler — Maclaurin formula      145
Interval arithmetic, extension      48 113
Interval arithmetic, matrix      115
Interval arithmetic, remainder term      137
Interval arithmetic, Simpson's rule      141
Interval arithmetic, trapezoidal rule      141
Interval arithmetic, vector      115
Iteration      122
Iteration operator      122
Iteration, simple      122
Jacobian code list      99
Jacobian code list, matrix      85 98 99
Jones, S. T.      130 132 134
Kantorovich graph      1 6 7
Kantorovich, L. V.      2 126 131
Kedem, G.      5 15 49—51 56 88
Krawczyk method      129
Krawczyk, R.      129 132
Kronecker delta      93
Kuba, D.      55 106 130 131
Label      17 27
Label, current      45
Label, external      45
Label, internal      45
Lagrange multiplier      96
Lagrange multiplier, remainder term      36
Language, assembly      3
Language, higher-level      3
Leibniz rule      39
Leibniz, G. W.      9
Li, T. — Y.      134 135
library function      4
Library function, subroutine      4
Lie series      153
Line      27
Line, intermediate      31 60
Linear functional      23 91
Linear functional, transformation      23
Linearization      120
Lipschitz constant      118
Lipschitz constant, continuity      118
Lisp      1
List of instructions      3
List, code      4
List, procedure      39
List, subroutine call      38
Literal value      32
Magnitude      115
Mathematical programming      94
Matrix, Hessian      102
Matrix, interval      115
Matrix, Jacobian      85 98 99
Maximum norm      23 100
McCormick, G. P.      5
Mean, arithmetic      116
Mean, harmonic      116
Mechanical quadrature      138
Merging      53
Method, continuation      134
Method, Davidenko’s      134 135
Method, homotopy      134
Method, Krawczyk      129
Method, Milne's      144
Method, Newton's      97 98 100 101 102
Method, quasi — Newton      102
midpoint      116
Miller, J. C. P.      152
Milne's method      144
Milne, W. E.      144
Moore, R. E.      2 54 88 113 115 127 128 130—132 134 137—139
Multiplier, Lagrange      96
multiprocessor      8
Named variable      80
Newton      2 57 81 102 106 131 132 154
Newton operator      12 3
Newton operator, sequence      101 125
Newton's method      97 98 100 101 102
Newton's method, method, interval      129
Newton's method, three-eights rule, interval      141 149
Newton, I.      9
Nickel, K.      127 128
Node, destination      40
Node, originating      40
Node, processing      43
Nonexistence      128
Norm      23 99 100 115
Norm, constistent      104
Norm, Euclidean      23
Norm, maximum      2 3 100
Numbers, Bernoulli      145 146
Numerical integration      138
Operation, arithmetic      4
Operation, binary      5 15
Operation, unary      5
Operator      98 99
Operator, bilinear      104
Operator, Hessian      102 105
Operator, iteration      122
Operator, Newton      123
Optimal point      95
Optimal point, value      94 95
Optimization, constrained      95
Optimization, unconstrained      95
Origin      95
Originating node      40
Ortega, J. M.      126
Output code list      29 34
Owesen, J. W      84 86
P-format      116 117
Package, interval arithmetic      113
Packed code list      29
Packing      29
Packing, backward      33
Packing, forward      32
Packing, storage      44
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