TITLE: Uniqueness and Existence of search directions for semidefinite programming (SDP) authors: Kathrin Schaecke, Levent Tuncel, Henry Wolkowicz Dept. Combinatorics and Optimization University of Waterloo ABSTRACT: We study uniqueness and existence conditions for various families of Newton based search directions for Semidefinite Programming (SDP). In particular, we strengthen the Monteiro-Zanjacomo condition as well as the Shida-Shindoh-Kojima condition for the Alizadeh-Haeberly-Overton (AHO) search direction.