It is seen from Table 1(a) and Table 1(b) that, the number of iterations decreases as θ values increase, and that θ = 1 gives the least number of iterations. Since θ value of one (1) gives the least ...

The Karmarkar interior point algorithm has made it possible to solve large-scale decision problems that previously could not be solved in reasonable time, or were too large to be solved at all. In ...

This paper is concerned with an algorithm proposed by Alizadeh for linear semidefinite programming. The proof of convergence given by Alizadeh relies on a wrong inequality, we correct the proof. At ...

N. Karmarkar's interior point method (1984), said to perform much faster than the simplex method in solving large scale linear programming problems, has attracted a great deal of attention. The ...

It is seen from Table 1(a) and Table 1(b) that, the number of iterations decreases as θ values increase, and that θ = 1 gives the least number of iterations. Since θ value of one (1) gives the least ...

The proof of convergence given by Alizadeh relies on a wrong inequality, we correct the proof. At each step, the algorithm uses a line search. To be efficient, such a line search needs the value of ...