Tapia, R.A.Zhang, Y.Ye, Y.2018-06-182018-06-181991-08Tapia, R.A., Zhang, Y. and Ye, Y.. "On the Convergence of the Iteration Sequence in Primal-Dual Interior-Point Methods." (1991) <a href="https://hdl.handle.net/1911/101725">https://hdl.handle.net/1911/101725</a>.https://hdl.handle.net/1911/101725This research is concerned with the convergence of the iteration sequence generated by a primal-dual interior-point method for linear programming. It is known that this sequence converges when both the primal and the dual problems have unique solutions. However, convergence for general problems has been an open question now for quite some time. In this work we demonstrate that for general problems, under mild conditions, the iteration sequence converges.26 ppengTechnical reportTR91-24