Singularity Theory for Nonlinear Optimization Problems

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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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

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