Home > Articles > Published articles > Sensitivity analysis of composite piecewise smooth equations |
Date: | 1997 |
Abstract: | This paper is a contribution to the sensitivity analysis of piecewise smooth equations. A piecewise smooth function is a Lipschitzian homeomorphism near a given point if and only if it is coherently oriented and has an invertible B-derivative at this point. We emphasise the role of functions of the type f = g ° h where g is piecewise smooth and h is smooth and present verifiable conditions which ensure that the function f = g ° h is a Lipschitzian homeomorphism near a given point for every h sufficiently close to h with respect to the C^1-topology. . |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió publicada |
Subject: | Sensitivity ; Composite ; Nonsmooth ; Piecewise affine ; Piecewise smooth ; Implicit function ; Lipschitzian homeomorphism ; Coherent orientation ; Complementarity problem |
Published in: | Mathematical Programming, vol. 76 n. 3 (1997) p. 593-612, ISSN 0025-5610 |
20 p, 1.1 MB UAB restricted access |