Publications

Articles de périodiques:

  • P. Maréchal, J.J. Ye & J. Zhou, K-optimal Design via semidenite programming and entropy optimization, Mathematics of Operations Research (2014)
  • F. Rigaud, M. Charlotte, C. Kerdreux and P. Maréchal, Multi-objective optimization of rotary-wing aircrafts at the predesign stage, Mechanics & Industry, Volume 15(4), 267-277 (2014)
  • X. Bonnefond and P. Maréchal, Spectral convex functions of operators and approximate intertwining relationships, Journal of Optimization Theory and Applications, Volume 160, 30-48 (2014)
  • X. Bonnefond and P. Maréchal, Convex spectral functions and approximate intertwining relationships, Optimization Letters, Volume 8, 401-405 (2013)
  • B. G. Nguyen, D. Delahaye, S. Puechmorel, P. Maréchal, and P. Olle, Using BV-norm to classify the vasculitis in multiple sclerosis fundus angiography for ophthalmologists, Journal of Medical and Bioegineering, Volume 2(1), 11-15 (2013)
  • T. Reytier, C. Bès, P. Maréchal, M. Bianciardi and A. Santgerma, Generation of correlated stress time histories from continuous turbulence Power Spectral Density for fatigue analysis of aircraft structures, International Journal of Fatigue, Volume 42, 147-152 (2012)
  • P. Maréchal, A convexity theorem for multiplicative functions, Optimization Letters, Volume 6(2), 357-362 (2011)
  • P. Maréchal and J.J. Ye, Optimizing condition numbers, SIAM Journal of Optimization, Volume 20(2), 935-947 (2009)
  • P. Maréchal and A. Rondepierre, A proximal approach to the inversion of illconditioned matrices, Comptes Rendus de l’Académie des Sciences, Paris, Serie I, Volume 347, 1435-1438 (2009)
  • X. Bonnefond and P. Maréchal, A variational approach to the inversion of some compact operators, Pacific Journal of Optimization, Volume 5(1), 97-110 (2009)
  • N. Alibaud, P. Maréchal and Y. Saesor, A variational approach to the inversion of truncated Fourier operators, Inverse Problems 25 (2009)
  • P. Maréchal and D. Wallach, Fourier synthesis via partially finite convex programming, Mathematical and Computer Modelling, 49, 2206-2212 (2009)
  • B. Dacorogna & P. Maréchal, The role of perspective functions in convexity, polyconvexity, rank-one convexity and separate convexity, Journal of Convex Analysis, 15(2), 271-284 (2008)
  • D. Mariano-Goulart, P. Maréchal, L. Giraud, S. Gratton and M. Fourcade, A priori selection of the regularization parameters in emission tomography by Fourier synthesis, Computerized Medical Imaging and Graphics, Volume 31, 502-509 (2007)
  • B. Dacorogna & P. Maréchal, Convex SO(N)×SO(n)-invariant functions and renements of Von Neumann’s inequality, Annales de la Faculté des Sciences de Toulouse, Volume XVI(1), 71-89 (2007)
  • P. Maréchal, On a class of convex sets and functions, Set Valued Analysis, Volume 13(2), 197-212 (2005)
  • P. Maréchal, On a functional operation generating convex functions. Part II : algebraic properties, Journal of Optimization Theory and Applications, Volume 126(2), 357-366 (2005)
  • P. Maréchal, On a functional operation generating convex functions. Part I : duality, Journal of Optimization Theory and Applications, Volume 126(1), 175-189 (2005)
  • J.M. Borwein, R. Choksi and P. Maréchal, Probability distributions of assets inferred from option prices via the principle of maximum entropy, SIAM Journal on Optimization, Volume 14(2), 464-478 (2003)
  • P. Maréchal, On the convexity of the multiplicative potential and penalty functions and related topics, Mathematical Programming, Series A, Volume 89, 505-516 (2001)
  • J. M. Borwein, P. Maréchal and D. Naugler, Convex dual approach to the computation of NMR complex spectra, Mathematical Methods of Operations Research, Volume 51(1), 91-102 (2000)
  • D. Borwein, J. M. Borwein and P. Maréchal, Surprise Maximization, the American Mathematical Monthly, Volume 107(6), 517-527 (2000)
  • P. Maréchal, D. Togane and A. Celler, A new reconstruction methodology for Computerized Tomography : FRECT (Fourier Regularized Computed Tomography), IEEE, Transactions on Nuclear Science, Volume 47, 1595-1601 (2000)
  • P. Maréchal, D. Togane, A. Celler and J. M. Borwein, Computation and stability analysis for regularized tomographic reconstructions, IEEE, Transactions on Nuclear Science, Volume 46, 2177-2184 (1999)
  • A. Lannes, E. Anterrieu and P. Maréchal, Clean and Wipe, Astronomy and Astrophysics, Suppl. Series, Volume 123, 183-198 (1997)
  • P. Maréchal and A. Lannes, Unification of some deterministic and probabilistic methodologies for the solution of linear inverse problems via the principle of maximum entropy on the mean, Inverse Problems, Volume 13, 135-151 (1997)

Actes

  • P. Maréchal, Duality for maximum entropy diffusion MRI, in Ali Mohammad-Djafari & Frédéric Barbaresco, Editeurs, Bayesian Inference and Maximum Entropy Methods in Science and engineering (MAXENT 2014), AIP Conference Proceedings 1641 (2015)
  • S. Prigent, M. Belleville, T. Druot, A. Rondepierre and P. Maréchal, Chance constrained business case of a three-engines hybrid aircraft, 10th World Congress on Structural and Multidisciplinary Optimization, May 19 – 24, 2013, Orlando, Florida, USA
  • T. Reytier, C. Bès, P. Maréchal, M. Bianciardi & A. Santgerma, Modelling fatigue spectrum of aircraft structure under gust loads, Actes du colloque Fatigue Design 2011
  • N. Alibaud, X. Bonnefond & P. Maréchal, Analyse asymptotique de la régularisation par mollication, Actes du colloque Mathématiques pour l’image, Presses Universitaires d’Orléans (2009)
  • D. Wallach, F. Lamare, J. Rubio, M. Ledesma-Carbayo, G. Kontaxakis, A. Santos, P. Maréchal, C. Roux & D. Visvikis, Super-resolution in 4D positron emission tomography, Nuclear Science Symposium Conference Record, NSS ’08, IEEE (2008)
  • B. Dacorogna & P. Maréchal, A Note on Spectrally Defined Polyconvex Functions, Proceedings of the workshop New developments in the Calculus of Variations Edizioni Scientifiche Italiane (2006) 259-274
  • P. Maréchal, D. Mariano-Goulart, L. Giraud et S. Gratton, Towards automatic selection of the regularization parameters in emission tomography by Fourier synthesis, Actes de CVAMIA, Prague (lecture notes in computer science), Springer
  • P. Maréchal, A note on entropy optimization, in M. Lassonde (Editeur), Approximation, Optimization and Mathematical Economics, Physica-Verlag 205-211 (2001)
  • P. Maréchal, On the principle of Maximum Entropy as a methodology for solving linear inverse problems, in B. Grigelionis et al. (Editeurs), Probability Theory and Mathematical Statistics, VPS/TEV (1999) 481-492
  • P. Maréchal, D. Togane and A. Celler, A new reconstruction methodology for Computerized Tomography : FRECT (Fourier Regularized Computed Tomography), IEEE Nuclear Science Symposium and Medical Imaging Conference, Seattle (1999)
  • P. Maréchal, D. Togane, A. Celler and J. M. Borwein, Numerical assessment of the performance of reconstruction processes for Computed Tomography, IEEE Nuclear Science Symposium and Medical Imaging Conference, Toronto (1998)
  • L. Delage, F. Reynaud, E. Thiébaut, K. Bouyoucef, P. Maréchal and A. Lannes, Démonstration de la faisabilité d’un dispositif d’imagerie à haute résolution utilisant des fibres optiques pour le transport des faisceaux, GRETSI’97, Grenoble (1997) 829-832
  • P. Maréchal, E. Anterrieu and A. Lannes, Survey of Fourier synthesis methodologies, ADASS’96, Charlottesville (1996)
  • B. Serre, P. Maréchal, S. Roques, B. Pfeiffer, G. Vauclair and A. Lannes, Time-frequency analysis and observation synthesis of non-radial oscillations of white dwarfs, Int. Symp. on Time-Frequency and Time-Scale Analysis, Philadelphia (1994) 25-28

Ouvrage collectif:

  • P. Maréchal and D. Aussel, chapitre Optimisation, dans Mathématiques L3, Tome 3 (Mathématiques Appliquées), Pearson Education