BibTeX
@TECHREPORT{
         Dixon1986TTN,
       AUTHOR = "Dixon, Lawrence C. W. and Price, Richard C.",
       TITLE = "The Truncated {N}ewton Method for Sparse Unconstrained Optimisation Using Automatic
         Differentiation",
       TYPE = "Technical Report",
       NUMBER = "NOC TR170",
       INSTITUTION = "The Numerical Optimisation Center, Hatfield Polytechnic",
       ADDRESS = "Hatfield, U.K.",
       MONTH = "October",
       YEAR = "1986",
       REFERRED = "[Dixon1987ADa]; [Dixon1991UoA]; [Fischer1987AD].",
       COMMENT = "This paper was presented at the SIAM National meeting, Boston, 1986. Also to appear
         in J. Opt. Theory and Appl. 60(2), pp. 261--275, February 1989.",
       KEYWORDS = "point algorithm; numerical results; differentiation arithmetic; optimisation
         method.",
       ABSTRACT = "A method is presented which solves unconstrained optimisation problems using a
         truncated Newton method. Automatic differentiation is used to calculate the derivatives required. By
         taking advantage of the structure of the optimisation method, only vector storage is required since
         the Hessian is multiplied by a vector during the computation of the derivatives. Numerical results
         obtained by solving standard test problems are presented."
}