Search results for "Affine scaling"

showing 2 items of 2 documents

An affine scaling method using a class of differential barrier functions: primal approach

2020

International audience; In this paper we propose a family of affine scaling interior point algorithms, called galpv4, using a primal approach, based on a large class of differential barrier functions. We show that these algorithms are in fact an extension and generalization of the classical affine scaling algorithm based on the well-known log barrier function. After carrying out a complete convergence analysis, we select some of these algorithms for comparison with the classical affine scaling algorithm, performed with the help of the familiar Netlib test set.

Large classconcave gaugeClass (set theory)Pure mathematics021103 operations researchControl and Optimizationinterior point methodsApplied Mathematicsdifferential barrier0211 other engineering and technologies02 engineering and technologyManagement Science and Operations Research01 natural sciencesprimal algorithm010101 applied mathematicsAffine scalinglinear programs[MATH]Mathematics [math]0101 mathematicsInterior point methodDifferential (mathematics)MathematicsOptimization
researchProduct

Stress sensitivity of stylolite morphology

2009

International audience; Stylolites are rough surfaces that form by localized stress-induced dissolution. Using a set of limestone rock samples collected at different depths from a vertical section in Cirque de Navacelles (France), we study the influence of the lithostatic stress on the stylolites morphology on the basis of a recent morphogenesis model. We measured the roughness of a series of bedding-parallel stylolites and show that their morphology exhibits a scaling invariance with two self-affine scaling regimes separated by a crossover-length (L) at the millimeter scale consistent with previous studies. The importance of the present contribution is to estimate the stylolite formation s…

self-affine scalingMorphology (linguistics)010504 meteorology & atmospheric sciences[SDU.STU.GP]Sciences of the Universe [physics]/Earth Sciences/Geophysics [physics.geo-ph]MineralogyMagnitude (mathematics)morphogenesisSurface finish010502 geochemistry & geophysics01 natural sciencesStress (mechanics)Geochemistry and Petrology[SDU.STU.GC]Sciences of the Universe [physics]/Earth Sciences/GeochemistryEarth and Planetary Sciences (miscellaneous)Geotechnical engineeringpaleo-stressScaling0105 earth and related environmental sciencesroughness[SDU.STU.TE]Sciences of the Universe [physics]/Earth Sciences/TectonicsDeformation (mechanics)stylolitesStress fieldGeophysicsSpace and Planetary ScienceStyloliteGeology[SDU.STU.MI]Sciences of the Universe [physics]/Earth Sciences/Mineralogy
researchProduct