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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.
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Abstract
Techniques from the theory of singularities of smooth mappings are employed to study the reduction of nonlinear optimization problems to simpler forms. It is shown how singularity theory ideas can be used to: (1) reduce the decision-space dimensionality; (2) transform the constraint space to simpler form for primal algorithms; (3) provide sensitivity analysis.
| Item Type: | Monograph (IIASA Research Report (Reprint)) |
|---|---|
| Research Programs: | System and Decision Sciences - Core (SDS) |
| Depositing User: | IIASA Import |
| Date Deposited: | 15 Jan 2016 01:57 |
| Last Modified: | 27 Aug 2021 17:12 |
| URI: | https://pure.iiasa.ac.at/2917 |
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