Algorithmisches Differenzieren - M1

REFERENCES 25
[30] Cuyt, A.A.M., Rall, L.B.: Computational implementation of the multivariate
Halley method for solving nonlinear systems of equations. ACM Transactions on
Mathematical Software 11, 1985, 20-36.
[31] Davis, P.H., Pryce, J.D.: A New Implementation of Automatic Differentiation
for Use with Numerical Software. Technical Report AM-87-11, School of Mathematics,
University of Bristol, 1987.
[32] Davis, P.H., Pryce, J.D., Stephens, B.: Recent developments in automatic differentiation.
In: Scientific Software Systems, ed. by J.C.Mason and M.G.Cox,
Chapman and Hall, London, 1990, 153-165.
[33] Davis, P.H., Stephens, B., Corliss, G.F., Krenz, G.S.: Specification of a Preprocessor
for Use with Differentiation Arithmetic. Technical Report AM-88-08,
School of Mathematics, University of Bristol, 1988.
[34] Dixon, L.C.W.: Automatic differentiation and parallel processing in optimisation.
In: Optimization, Parallel Processing and Applications, ed. by
A.Kurzhanski, K.Neumann, D.Pallaschke, (Lecture Notes in Economics and
Mathematical Systems 304), Springer-Verlag, Berlin, 1988, 86-93.
[35] Dixon, L.C.W.: On the impact of automatic differentiation on the relative performance
of parallel truncated Newton and variable metric algorithms. SIAM
Journal on Optimization 1, 1991, 475-486.
[36] Dixon, L.C.W.: Use of automatic differentiation for calculating Hessians and
Newton steps. In [70], 114-125.
[37] Dixon, L.C.W., Maany, Z., Mohseninia, M.: Finite Element Optimisation in ADA
using Automatic Differentiation. Technical Report 205, Numerical Optimisation
Centre, Hatfield Polytechnic, 1988.
[38] Dixon, L.C.W., Maany, Z., Mohseninia, M.: Automatic differentiation of large
sparse systems. Journal of Economic Dynamics and Control 14, 1990, 299-311.
[39] Dixon, L.C.W., Price, R.C.: Truncated Newton method for sparse unconstrained
optimization using automatic differentiation. Journal of Optimization Theory and
Applications 60, 1989, 261-275.
[40] Evtushenko, Yu.G.: Automatic differentiation viewed from optimal control theory.
In [70], 25-30.
[41] Fischer, H.: Some aspects of automatic differentiation. In: Numerical Methods
and Approximation Theory III, ed. by G.V. Milovanović, University of Niˇs, Yugoslavia,
1988, 199-208.
[42] Fischer, H.: Automatic differentiation: Fast method to compute the quadratic
form of Hessian matrix and given vector. Facta Universitatis (Niˇs),
Ser.Math.Inform.3, 1988, 51-59.