ABSTRACT

Programming to the Problems of Unconstrained Optimization .......170 4.2.1 Lagrangian Multiplier Method .............................................170 4.2.2 Penalty Function Method .....................................................171 4.3 Mathematical Methods for Solving Optimization Problems ...........173 4.3.1 Method of Successive Iteration ............................................175 4.3.2 Half-Interval Method and Chord Method ............................182 4.3.3 Newton method ....................................................................184 4.3.4 Gradient Methods .................................................................189 4.3.5 Methods of Conjugate Gradients (Directions) .....................190 4.3.6 Random Search Methods .....................................................191 4.3.7 Genetic algorithms ...............................................................192 4.3.8 Deformable Polyhedron Method ..........................................194 4.3.9 Methods of Sequential Analysis of Variants ........................196