Scientific Works

Preprints
Journal articles
  1. M. Macconi, B. Morini, M. Porcelli, Trust-region quadratic methods for nonlinear systems of mixed equalities and inequalities, Applied Numerical Mathematics, 59:5 (2009), pp. 859-876.
  2. M. Macconi, B. Morini, M. Porcelli, A Gauss-Newton method for solving bound-constrained underdetermined nonlinear systems, Optimization Methods and Software, 24:2 (2009), pp. 219-235.
  3. B. Morini, M. Porcelli, R.H. Chan, A Reduced Newton method for constrained linear least-squares problems, Journal of Computational and Applied Mathematics, 233:9 (2010), pp. 2200-2212.
  4. M. Porcelli,   Metodi trust-region a convergenza quadratica per problemi ai minimi quadrati non lineari con vincoli semplici e problemi di ammissibilità non lineari, La Matematica a nella Società e nella Cultura, Rivista dell'Unione Matematica Italiana, Serie I, Vol IV, a Aprile 2011, pp. 67-70.
  5. B. Morini, M. Porcelli, TRESNEI, a Matlab trust-region solver for systems of nonlinear equalities and inequalities, Computational Optimization and Applications, 51:1 (2012), pp. 27-49.
  6. N.I.M. Gould, M. Porcelli, Ph.L. Toint, Updating the regularization parameter in the adaptive cubic regularization algorithm, Computational Optimization and Applications, 53:1 (2012), pp. 1-22.
  7. M. Porcelli, On the convergence of an inexact Gauss-Newton trust-region method for nonlinear least-squares problems with simple bounds, Optimization Letters, 7:3 (2013), pp. 447–465.
  8. S. Bellavia, B. Morini, M. Porcelli, New updates of incomplete LU factorizations and applications to large nonlinear systems, Optimization Methods and Software, 29:2 (2014), pp. 321-340.
  9. S. Bellavia, M. Porcelli, Preconditioning issues in the numerical solution of nonlinear equations and nonlinear least-squares , Pesquisa Operacional, 34:3 (2014), pp. 421-445.
  10. M. Porcelli, F. Rinaldi, A variable fixing version of the two-block nonlinear constrained Gauss-Seidel algorithm for l1-regularized least-squares , Computational Optimization and Applications, 59:3 (2014), pp. 565-589.
  11. M. Porcelli, V. Binante, M. Girardi, C. Padovani, G. Pasquinelli, A solution procedure for constrained eigenvalue problems and its application within the structural finite element code NOSA-ITACA , CALCOLO, 52:2 (2015), pp. 167­-186.
  12. M. Porcelli, V. Simoncini, M. Tani, Preconditioning of active-set Newton methods for PDE-Constrained optimal control problems, SIAM Journal on Scientific Computing, 37:5 (2015), pp. S472-S502.
  13. C. Carcasci, L. Marini, B. Morini, M. Porcelli, A new modular procedure for industrial plant simulations and its reliable implementation, Energy, 94:1 (2016), pp. 380-390.
  14. B. Iannazzo, M. Porcelli, The Riemannian Barzilai-Borwein method with nonmonotone line-search and the matrix geometric mean computation, IMA Journal of Numerical Analysis, (2017) drx015. doi: 10.1093/imanum/drx015.
  15. B. Morini, M. Porcelli, Ph.L. Toint, Approximate norm descent methods for constrained nonlinear systems, Mathematics of Computation, (2017) https://doi.org/10.1090/mcom/3251.
  16. M. Porcelli, Ph.L. Toint, BFO, a trainable derivative-free Brute Force Optimizer for nonlinear bound-constrained optimization and equilibrium computations with continuous and discrete variables, ACM Transactions on Mathematical Software, 44:1 (2017), Article 6, 25 pages.
  17. M. Porcelli, V. Simoncini, M. Stoll, Preconditioning PDE-constrained optimization with L^1-sparsity and control constraints, Computers and Mathematics with Applications, 74:5 (2017), pp. 1059-1075.
Proceedings
  1. R.H. Chan, B. Morini, M. Porcelli, Affine scaling methods for image deblurring problems, American Institute of Physics Conference Proceedings 1281, 2 (2010), pp. 1043-1046.
  2. C. Carcasci, L. Marini, B. Morini, M. Porcelli, M. Micio, P.L. Di Pillo, Modular tool for the simulation of compressor trains for oil and gas applications, Energy Procedia, 82 (2015), pp. 546-553.
  3. V. Binante, M. Girardi, M. Lucchesi, C. Padovani, D. Pellegrini, M. Porcelli, "Safety assessment of masonry constructions via numerical tools: the NOSA-ITACA code", In: 18th ICOMOS General Assembly and Symposium: "Heritage and Landscape as Human Values" (Florence, Italy, 9-14 November 2014)
Other publications
  • B. Colson, M. Porcelli, Ph.L. Toint, Aircraft fuselage sizing with multilevel optimization, 2013-TR-019, ISTI-CNR and naXys-07-2013, Dept of Mathematics, UNamur, Namur (B).
  • V. Binante, M. Girardi, C. Padovani, G. Pasquinelli, M. Porcelli, NOSA-ITACA documentation, 2013-TR-050, ISTI-CNR.
Posters
  • V. Binante, M. Girardi, M. Lucchesi, C. Padovani, G. Pasquinelli, D. Pellegrini, M. Porcelli, Progetto NOSA-ITACA - caso studio: il Voltone, piazza della Repubblica, Livorno. Poster in: Salone dell'Arte e del Resaturo di Firenze. Florence (Italy), November 8-10, 2012. [pdf]
  • M. Porcelli, V. Binante, M. Girardi, C. Padovani, G. Pasquinelli, D. Pellegrini, On the numerical solution of constrained eigenvalue problems in structural engineering. Poster in: Recent Advances on Optimization. Toulouse (France) July, 24-26 2013. [pdf]
Theses
  • M. Porcelli,  Trust-region quadratic methods for bound-constrained nonlinear least-squares and nonlinear feasibility problems, PhD Thesis, 2010 [pdf].
  • M. Porcelli, A new trust-region method for nonsquare systems of nonlinear equations with simple bounds, Master Thesis, 2006 (italian version) [pdf].
  • M. Porcelli, The Newton method for the Riccati’s algebraic equations, Bachelor Thesis 2004.