Résumé:
In this thesis, we are interested in the study of the improvement of the
behavior of the algorithm by looking in particular at the algorithmic complexity
via new techniques among which kernel functions. for this we gave theoretical
comparative study of two kernel functions for linear programming ( Kernel
function of logarithmic barrier terms, Kernel function with trigonometric
barrier terms ), the theoretical comparative study prove that the kernel
function of logarithmic barrier terms more efficient compared kernel function
with trigonometric barrier terms.