The main work of this thesis is concerned with the comparison of conjugate
gradient with hybrid conjugate gradient methods when they are applied
to optimal control problems. Descriptions of the conjugate gradient. and
hybrid conjugate gradient methods, for general optimisation, in finite and
infinite dimensions are also given. The numerical methods for solving the
differential equations and the line searches required in the optimisation are
discussed next. [Continues.]
A Doctoral Thesis. Submitted in partial fulfilment of the requirements for the award of Doctor of Philosophy at Loughborough University.