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Digitale Medien

Topological characterization of the approximate subdifferential in the finite-dimensional case (1995)

Henrion, René

Springer

Mathematical methods of operations research 41 (1995), S. 161-173

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ISSN: 1432-5217

Schlagwort(e): Approximate subdifferential ; topological properties ; partial approximate subdifferential ; nonsmooth optimization

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik , Wirtschaftswissenschaften

Notizen: Abstract Topological properties of the approximate Subdifferential introduced by Mordukhovich are studied. Apart from formulating a sufficient condition for connectedness, it is shown that, up to homeomorphy, each compact subset of ℝp may occur as the approximate subdifferential of some Lipschitz function. Furthermore, even an exact result is possible when considering the partial approximate Subdifferential, which was introduced as a parametric extension by Jourani and Thibault: Given any compact subset of ℝp, there is a locally Lipschitzian function realizing this set as its partial approximate Subdifferential at some predefined point.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01432653

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Digitale Medien

Application of partial least-squares regression for signal resolution in differential pulse anodic stripping voltammetry of thallium and lead (1990)

Henrion, André ; Henrion, René ; Henrion, Günter ; [weitere]

Weinheim : Wiley-Blackwell

Electroanalysis 2 (1990), S. 309-312

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ISSN: 1040-0397

Schlagwort(e): Chemistry ; Polymer and Materials Science

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Chemie und Pharmazie

Notizen: This work addresses the problem of signal resolution by partial least-squares regression (PLS) for differential pulse stripping voltammograms. The performance of PLS is demonstrated for an example of calibration with mixtures of two analytes (Tl+ and Pb2+) with strongly overlapping voltammograms. The accuracy of the determination of concentrations for validation mixtures was found to be considerably higher with PLS than with simple evaluation using currents observed at two potentials (requiring resolution of a system of two linear equations with two unknowns). Hence, PLS is recommended for computer-assisted, on-line voltammetric analysis of multicomponent systems.

Zusätzliches Material: 2 Ill.