In this paper, we are interested in solving a linear fractional program by two different approaches. The first one is based on interior point methods which makes it possible to solve an equivalent the program. second allows us variational inequalities problem efficient projection method. Numerical tests were carried out approaches and comparative study was out. numerical show clearly that more ...

Everybody who has some experience in doing mathematics knows, that dimensional reduction and projection are useful tools to confront problems that are too complicated to solve without any simplification. Who hasn’t, occasionally, but notwithstanding timidly, suggested that perhaps it would be a good idea to study the simple one-dimensional casefirst before trying tounderstand the real-world thr...

We consider the class of the Orthogonal Projection Methods (OPM) to solve iteratively large and generalised eigenvalue problems. An OPM is a method that projects a large eigenvalue problem on a smaller subspace. In this subspace, an approximation of the eigenvalue spectrum can be computed from a small eigenvalue problem using a direct method. We show that many iterative eigenvalue solvers, such...