# Search results for: Miguel A. Goberna

Journal of Optimization Theory and Applications > 2019 > 182 > 1 > 4-29

Vietnam Journal of Mathematics > 2018 > 46 > 2 > 271-284

Mathematical Programming > 2017 > 164 > 1-2 > 167-191

Applied Optimization > Continuous Optimization > Surveys > 3-22

Set-Valued and Variational Analysis > 2013 > 21 > 1 > 67-92

*T*be a given subset of ℝ

^{ n }, whose elements are called sites, and let

*s*∈

*T*. The Voronoi cell of

*s*with respect to

*T*consists of all points closer to

*s*than to any other site. In many real applications, the position of some elements of

*T*is uncertain due to either random external causes or to measurement errors. In this paper we analyze the effect on the Voronoi cell of small changes in

*s*or in...

Mathematical Programming > 2009 > 116 > 1-2 > 129-146

Journal of Computational and Applied Mathematics > 2008 > 217 > 2 > 420-431

Set-Valued and Variational Analysis > 2008 > 16 > 5-6 > 621-635

*x*ranges on a certain fixed constraint set

*X*⊂ℝ

^{ n }(

*X*could represent the solution set of a given constraint system, e.g., the positive cone of ℝ

^{ n }in the case of sign constraints). More in detail, the paper provides necessary...

Journal of Global Optimization > 2008 > 41 > 4 > 613-624

European Journal of Operational Research > 2006 > 169 > 3 > 1079-1095

Mathematical Methods of Operations Research > 2006 > 63 > 1 > 107-121

*X*can be the solution set of the (possibly nonlinear) system formed by all the exact constraints (e.g., the sign constraints),...

Applied Mathematics & Optimization > 2003 > 48 > 3 > 181-193

Linear Algebra and Its Applications > 2003 > 360 > Complete > 151-171

Set-Valued and Variational Analysis > 2003 > 11 > 2 > 203-223

Linear Algebra and Its Applications > 1998 > 270 > 1-3 > 231-253

Linear Algebra and Its Applications > 1998 > 270 > Complete > 231-253