The elegant theoretical results for strong duality and strict complementarity for linear programming, LP, lie behind … strict complementarity in their homogeneous counterpart. Our emphasis is on results that deal with Semidefinite Programming …. We take a fresh look at known and new results for duality, optimality, constraint qualifications, CQ, and strict …

is proved. In particular, the rate of convergence is proved to be one-step superlinear without assuming the strict … complementarity condition. Numerical results and comparison with other algorithms indicate that the new algorithm is promising. …