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| Rall L.B. — Automatic Differentiation: Techniques and Applications |
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| Предметный указатель |
Parallel computation 8
PARAMETER 17
Parameter, homotopy 134
Partial derivative 9
Partial derivative, formal 10
Pascal 34
Percentage error 116 117
Point, arithmetic 116
Point, critical 95
Point, harmonic 116
Point, optimal 95
Point, stationary 95
Polynomial, Taylor 35 136
Power function 47
Power function, series 35
Problem, Cauchy 35 137
Problem, fixed-point 122
Problem, initial-value 35 137
Procedure list 39
Processing node 43
Product, inner 22
Product, scalar 22
Programming, mathematical 94
Property, intersection 142
PROSE 96 154
Quadrature, mechanical 138
Quasi — Newton method 102
R-format 116 117
Rail, L. B. 54 57 81 106 124 127 130 131 144 150
Reciprocation 4
Reiter, A. 5 49 50 51 54 55 57 87 93 114 137
Relationship, implicit 25
Relative differential 120
Relative differential, error 116 117
Remainder term 35 142
Remainder term, Cauchy form 36
Remainder term, interval 137
Remainder term, Lagrange form 36
Repeated squaring 47
Representation, basic 5
RESULT 3
Rounding, directed 114
Roundoff error 112
Row vector 22 91 92
Rule 140
Rule, chain 11
Rule, Leibniz 39
Rule, numerical integration 139
Rule, Simpson's 140 141
Rule, Weddle's 151
Scalar product 22
Second differential 106
Second differential, derivative 102
Semi-total derivative 10 23
Sensitivity 120
Sensitivity, coefficient 120
Sequence, basic 5
Sequence, Newton 101 125
Series, power 35
Series, Taylor 35
Shorthand variable 88 93
Simple code list 27
Simple code list, formula 69
Simple code list, iteration 122
Simpson's rule 140 141
| Simpson's rule, interval 141
Squaring, repeated 47
Starting vector 41
Stationary point 95
Stirling, J. 152
Storage packing 44
Storage, intermediate 60
Stoutemeyer, D. R. 118
Stummel, F. 98
Subroutine call list 38
Subroutine call list, library 4
Substitutions, successive 122
Successive substitutions 122
SUPER — CODEX 2 28 57 59 60 81 84—87 154
Symbolic division 51
Szymanski, T. 153
Tables, dependency 68
Tapia, R. A. 127
Taylor 2 59 87 88 90
Taylor coefficient 35
Taylor coefficient coefficient vector 40 89
Taylor polynomial 35 136
Taylor polynomial, series 35
TAYLOR — GRADIENT 2 87—90 97
Term, error 140 142
Term, remainder 35 142
Term, truncation error 139
Transformation, Krawczyk 130
Transformation, linear 23
Translation, formula 3
Trapezoidal rule, interval 141
Truncation error 112 140
Truncation error, error term 139
TYPE 56
TYPE GRADIENT 89 92
TYPE INTERVAL 114 121
TYPE TAYLOR 89 92
Unary operation 5
Unconstrained optimization 95
Unit vector 23
Value, literal 32
Value, optimal 94 95
Variable 3 17
Variable, named 80
Variable, shorthand 88 93
Vector, augmented gradient 89
Vector, column 22 91 92
Vector, derivative 22
Vector, differential 22 120
Vector, gradient 92
Vector, interval 115
Vector, row 22 91 92
Vector, starting 41
Vector, Taylor coefficient 40 89
Vector, unit 23
Vector, zero 2 3 95
Warner, D. D. 153
Weddle's rule 151
Weight 49
Wertz, H. J. 55 57
Willers, I. M. 152
Yohe, J. M. 114
Yorke, J. a. 134 135
Zahar, R. V. M. 152
Zero vector 2 3 95
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