In matricial analysis, the theorem of Eckart & Young provides a best approximation of an arbitrary matrix by a matrix of rank at most r. In variational analysis or optimization, the Moreau envelopes are appropriate ways of approximating or regularizing the rank function. We prove here that we can go forwards and backwards between the two procedures, thereby showing that they carry essentially t...

Buchler M, Bayle F, Meyer C, Trehet N, Daguin P, Renaudin K, Moreau A, Soulillou JP: Kidney and recipient weight incompatibility reduces longterm graft survival. J Am Soc Nephrol 21: 1022–1029, 2010 3. Shapiro R, Vivas C, Scantlebury VP, Jordan ML, Gritsch HA, Neugarten J, McCauley J, Randhawa P, Irish W, Fung JJ, Hakala T, Simmons RL, Starzl TE: “Suboptimal” kidney donors: The experience with ...

Deposition of Highly Oriented Cu(OH)2 Nanobelts In article number 2101039, Mercedes Linares-Moreau, Christian J. Doonan, Paolo Falcaro, and co-workers report the deposition oriented homogeneous nanobelt (NB) films at cm scale. By optimizing NB procedure using a dip-coater, every single process yields high-quality film for heteroepitaxial growth precisely metal-organic framework coatings.

When computing the infimal convolution of a convex function f with the squared norm, the so-called Moreau–Yosida regularization of f is obtained. Among other things, this function has a Lipschitzian gradient. We investigate some more of its properties, relevant for optimization. The most important part of our study concerns second-order differentiability: existence of a secondorder development ...

Sophie Moreau Bolivian Association for the Application of Remote Sensing for Environmental Studies (ABTEMA) Roland Bosseno IRDFrance Nidia Sambrana National Services for Meteorology and Hydrology-Bolivia César Ibarra – Consultant, CIP Federico Mamani Bolivian Institute for Agricultural Technology (IBTA) Roberto Valdivia Natural Resources and Environment Research Center (CIRNMA-Peru) Sasan Saatc...

Hervé Avet-Loiseau,1 Florent Malard,1 Loic Campion,2 Florence Magrangeas,1 Catherine Sebban,3 Bruno Lioure,4 Olivier Decaux,5 Thierry Lamy,6 Laurence Legros,7 Jean-Gabriel Fuzibet,8 Mauricette Michallet,9 Bernadette Corront,10 Pascal Lenain,11 Cyrille Hulin,12 Claire Mathiot,13 Michel Attal,14 Thierry Facon,15 Jean-Luc Harousseau,16 Stephane Minvielle,1 and Philippe Moreau,17 for the Intergroup...

greenhouse-grown red pine seedling, Pinus resinosa, when cultured on malt agar or potato dextrose agar (PDA) showed inhibitory activity against selected test fungi. Sensitive fungi included Ceratocystis ulmi (BUISM.) C. MOREAU, Pythium spp., Rhizoctonia solani KUHN, Cylindrocarpon sp., Fusarium oxysporum SCHLECT., and Sirococcus strobilinus PREUSS. When grown on PDA, a colorless crystalline sol...

We derive a-priori estimates on the length of the primal-dual path that results from a Moreau-Yosida approximation of the feasible set for state constrained optimal control problems. These bounds depend on the regularity of the state and the dimension of the problem. Comparison with numerical results indicates that these bounds are sharp and are attained for the case of a single active point. A...