A linearly convergent iterative algorithm that approximates the rank-1 convex envelope of a given function , i.e. the largest function below which is convex along all rank-1 lines, is established. The proposed algorithm is a modified version of an approximation scheme due to Dolzmann and Walkington.
@article{M2AN_2004__38_5_811_0, author = {Bartels, S\"oren}, title = {Linear convergence in the approximation of rank-one convex envelopes}, journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique}, volume = {38}, year = {2004}, pages = {811-820}, doi = {10.1051/m2an:2004040}, mrnumber = {2104430}, zbl = {1083.65058}, language = {en}, url = {http://dml.mathdoc.fr/item/M2AN_2004__38_5_811_0} }
Bartels, Sören. Linear convergence in the approximation of rank-one convex envelopes. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 38 (2004) pp. 811-820. doi : 10.1051/m2an:2004040. http://gdmltest.u-ga.fr/item/M2AN_2004__38_5_811_0/
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