Ankara : Department of Industrial Engineering and the Institute of Engineering and Science of Bilkent University, 1996.Thesis (Master's) -- Bilkent University, 1996.Includes bibliographical references leaves 70-71In this thesis, a new characterization of solutions to overdetermined systems
of linear equations is described based on a simple quadratic penalty function,
which is used to change the problem into an unconstrained one. Piecewiselinear
non-interior pathways to the set of optimal solutions are generated from
the minimization of the unconstrained function. It is shown that the entire
set of solutions is obtained from the paths for sufficiently small values of
a scalar parameter. As a consequence, a new finite penalty algorithm is given
for fx, problems. The algorithm is implemented and exhaustively tested using
random and function approximation problems. .A comparison with the
Barrodale-Phillips algorithm is also done. The results indicate that the new
algorithm shows promising performance on random (non-function approximation)
problems.Elhedhli, SamirM.S
