Similar title to Casti, J.L. (1987). Singularity Theory for Nonlinear Optimization Problems. IIASA Research Report (Reprint). IIASA, Laxenburg, Austria: RR-87-021. Reprinted from Applied Mathematics and Computation, 23(2):137-161 [1987] 10.1016/0096-3003(87)90035-X.