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Genericity in linear algebra and analysis with applications to optimization

Georg Still(g.j.still***at***utwente.nl)

Abstract: This report gives a concise overview into genericity results for sets of matrices, linear and nonlinear equations as well as for unconstrained and constrained optimization problems. We present the generic behavior of non-parametric problems and parametric families of problems. The genericity analysis is based on results from differential geometry, in particular transversality theorems.

Keywords: genericity results, optimization problems

Category 1: Nonlinear Optimization


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Entry Submitted: 10/09/2019
Entry Accepted: 10/09/2019
Entry Last Modified: 10/09/2019

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