Page 284 - Compact Numerical Methods For Computers

INDEX

Abramowitz. M., 4 Bisection. 16 1
Absolute value, 17 for matrix eigenvalues. 133
Acton, F. S.. 104. 146. 162 Björck, A.. 70. 75, 80, 81, 197
Actuarial calculations, 165 Bordered matrix. 253
Addition of observations in least-squares, 64 Boundary-value problem, 20
Algebraic eigenvalue problem. 234 Bowdler, H. J.. 80
ALGOL,13,80,83 Bradbury, W. W., 244
ALGOL-60,80 Bremmerman. H.. 147
ALGOL-68, 80 Brent. R. P., 154, 185
Algorithms, Brown, K. M.. 146.232
informal definition of. 1 Broyden. C. G.. 190
choice of, 13 Businger. P. A.. 63
expression of, 15
list of, 255
Alternative implementation of singular-value c (programming language), 11
Campey. 182
decomposition. 38
Cancellation of digits. 55
Alternative optima, 230
Cauchy. A., 186,208
Analytic expression for derivatives, 218. 223
Celestial mechanics, 13 1
Anharmonic oscillator. 138
Centroid of points. 168
Annihilator of vector. 26
function value at. 172
APL, 12
Chambers, J. M., 63
Argonne National Laboratory, 10
Chartres, B. A.. 33, 134
Arithmetic.
Choice.
machine, 6
in extended Choleski decomposition, 88
operations, 5
of algorithms, 13
Autocorrelation, 180
of algorithms or programs, 14
Axial search, 171, 178
Choleski back-solution, 2 12
Choleski decomposition, 13. 27, 84, 136, 2 12, 253
Back-substitution, 72. 75, 86.93. 136 extension of. 86
with null diagonal elements, 105 Chopping (truncation), 7
Back-transformation, 133 Cobb-Douglas production function, 144
Backward difference, 2 19 Coefficient matrix, 19, 72
Bard, Y.. 207 Collinearity. 30, 45
Base period for index numbers. 77 Column permutations, 75
BASIC,11,63,123,127 comeig (ALGOL procedure), 110
Basis functions, 138 Compactness of programs, 12
Bauer, F., 97 Comparison of function minimisation
Beale, E. M. L., 198 algorithms, 218, 226
Beale-Sorenson formula. 199 Compiler for a computer programming language,
BFS update of approximate Hessian. 190 91
Bibliography, 263 Complete matrix eigenvalue problem, 119, 135
Biggs, M. C., 207 Complex arithmetic, 83
271