Publications

Preprints
Journal articles
  • B. Morini, M. Porcelli, Ph. L. Toint, Approximate norm descent methods for constrained nonlinear systems, Mathematics of Computation, to appear, doi:10.1090/mcom/3251.

  • B. Morini, V. Simoncini, Stability and accuracy of Inexact Interior Point methods for convex quadratic programming, Journal of Optimization Theory and Applications, 175, pp. 450-477, 2017.

  • B. Morini, V. Simoncini, M. Tani, A comparison of reduced and unreduced symmetric KKT systems arising from Interior Point methods, Computational Optimization and Applications, 68, pp. 1-27, 2017.

  • B. Morini, V. Simoncini, M. Tani, Spectral estimates for unreduced symmetric KKT systems arising from Interior Point methods, Numerical Linear Algebra with Applications, 23, pp. 776-800, 2016.

  • S. Bellavia, S. Bellavia, V. De Simone, D. di Serafino, B. Morini, On the update of constraint preconditioners for regularized KKT systems, Computational Optimization and Applications,  65, pp. 339-360, 2016. 

  • S. Bellavia, B. Morini, E. Riccietti, On an adaptive regularization for ill-posed nonlinear systems and its trust-region implementation,  Computational Optimization and Applications, 64, pp.1-30, 2016.

  • C. Carcasci, L. Marini, B. Morini, M. Porcelli, A new modular procedure for industrial plant simulations and its reliable implementation, Energy, 94, pp. 380-390, 2016.

  • S. Bellavia, V. De Simone, D. di Serafino, B. Morini, Updating constraint preconditioners for KKT systems in quadratic programming via low-rank corrections, SIAM Journal on Optimization,  25, pp. 1787-1808, 2015.

  • S. Bellavia, B. Morini,  Strong local convergence properties of adaptive regularized methods  for nonlinear least-squares, IMA Journal of Numerical Analysis, 35, pp. 947-968, 2015.

  • T. Bianconcini, G. Liuzzi, B. Morini, M. Sciandrone, On the use of iterative methods in cubic regularization for unconstrained optimization, Computational Optimization and Applications, 60, pp. 35-57, 2015.

  • S. Bellavia, B. Morini, M. Porcelli, New updates of incomplete LU factorizations and applications to large nonlinear systems, Optimization Methods and Software, 29, pp. 321-340, 2014.

  • J.J.Zhang, B.Morini, Solving regularized linear least-squares problems by alternating direction methods with applications to image restoration, Electronic Transactions on Numerical Analysis, 40, pp. 356-372, 2013.

  • S. Bellavia, J. Gondzio, B. Morini, A matrix-free preconditioner for sparse symmetric positive definite systems and least-squares problems, SIAM Journal on Scientific Computing, to appear, 35, pp. A192–A211, 2013.

  • S. Bellavia, V. De Simone, D. di Serafino, B. Morini, A preconditioning framework for sequences of diagonally modified linear systems arising in optimization, SIAM Journal on Numerical Analysis, 50, pp. 3280–3302, 2012.

  • B.Morini, M.Porcelli, TRESNEI, a Matlab trust-region solver for systems of nonlinear equalities and inequalities, Computational Optimization and Applications, 51, pp. 27-49, 2012.

  • S. Bellavia, D. Bertaccini, B. Morini,  Nonsymmetric preconditioner updates in Newton-Krylov methods for nonlinear systems,  SIAM Journal on Scientific Computing,  33, pp. 2595-2619, 2011.

  • S. Bellavia, V. De Simone, D. di Serafino, B. Morini, Efficient preconditioner updates for shifted linear systems, SIAM Journal on Scientific Computing, 33, pp. 1785–1809, 2011.

  • S. Bellavia, M. Macconi, B. Morini, Diagonally Scaled Dogleg Methods for Nonlinear Systems with Simple Bounds, Quarderni di Matematica della Seconda Universita' di Napoli,  dedicated to Marco D'Apuzzo, 2011.

  • S. Bellavia, J. Gondzio, B. Morini, Computational Experience with Numerical Methods for Nonnegative Least-Squares Problems,  Numerical Linear Algebra with Applications, 18, pp. 363–3852011.

  • S. Bellavia, C. Cartis, N. I. M. Gould, B. Morini, Ph. L. Toint, Convergence of a Regularized Euclidean Residual Algorithm for Nonlinear Least-Squares, SIAM Journal on Numerical Analysis,  48, pp. 1-29, 2010.

  • B. Morini,  M. Porcelli, R.H. Chan, A Reduced Newton Method for Constrained Linear Least-Squares Problems, Journal of Computational and Applied Mathematics,  233, pp. 2200-2212, 2010.

  • M. Macconi, B. Morini, M. Porcelli, A Gauss-Newton method for solving bound-constrained underdetermined nonlinear systems, Optimization Methods and Software  24, pp. 219-235, 2009.

  • M.Macconi, B.Morini, M.Porcelli, Trust-region quadratic methods for nonlinear systems of  mixed equalities and inequalities, Applied Numerical Mathematics, 59, pp. 859-876, 2009.

  • S. Bellavia, J. Gondzio, B. Morini, Regularization and Preconditioning of KKT Systems Arising in Nonnegative Least-Squares Problems, Numerical Linear Algebra with Applications 16, pp. 39-61, 2009.

  • Z.-J. Bai, B. Morini, S.F. Xu,    On the Local Convergence of an Iterative Approach for Inverse Singular Value Problems, Journal of Computational and Applied Mathematics, 198, pp. 344-360, 2007.

  • S. Bellavia, M. Macconi, B. Morini,   An interior Newton-like method for nonnegative least-squares problems with degenerate solution,  Numerical Linear Algebra with Applications, 13, pp. 825-846, 2006.

  • S. Bellavia, B. Morini,  Subspace trust-region methods for large bound-constrained nonlinear equations, SIAM Journal on Numerical Analysis,  44, pp. 1535-1555, 2006.

  • S. Bellavia, B. Morini,   An interior global method for nonlinear systems with simple bounds,
    Optimization Methods and Software, 20, pp. 1-22, 2005.

  • Z.-J. Bai, R.H.Chan, B. Morini,   An inexact Cayley-Transform method for inverse eigenvalue problems, Inverse Problems, 20, pp. 1675-1689, 2004.

  • S. Bellavia, M. Macconi, B. Morini,   STRSCNE: A scaled trust-region solver for constrained nonlinear equations, Computational Optimization and Applications, 28, pp. 31-50, 2004.

  • R.H.Chan, Z.-J. Bai, B. Morini,   On the convergence rate of the Cayley-Transform method for inverse eigenvalue and inverse singular value problems, International Journal of Applied Mathematics, 13, pp. 59-69, 2003.

  • S. Bellavia, M. Macconi, B. Morini,   An affine scaling trust-region approach to bound-constrained nonlinear systems , Applied Numerical Mathematics, 44, pp. 257-280, 2003.

  • S. Bellavia, B. Morini,   Global convergence enhancement of classical linesearch interior point methods for MCPs, Journal of Computational and Applied Mathematics, 151, No. 1, pp. 171-199, 2003.

  • S. Bellavia, B. Morini,   A globally convergent Newton-GMRES subspace method for systems of nonlinear equations, SIAM Journal Scientific Computing, 23, No. 3, pp. 940-960, 2001.

  • G.M. Gasparo, B.Morini, Inexact Methods: Forcing Terms and Conditioning, Journal Optimization Theory and Applications 107, No. 3, pp. 575-591, 2000.

  • B. Morini, M. Macconi, Inexact Methods in the numerical solution of stiff initial value problems, Computing 63, No. 3, pp. 265-281, 1999.

  • B. Morini, Convergence behaviour of Inexact Newton Methods, Mathematics of Computation 68, No. 228, pp. 1605-1613, 1999.

  • L. Dieci, B. Morini, A. Papini, A. Pasquali, On real logarithms of nearby matrices and structured matrix interpolation, Applied Numerical Mathematics 29, No. 1, pp. 145-165, 1999.

  • B. Morini,   On the choice of forcing terms in Modified Inexact Methods, Rendiconti del Circolo Matematico di Palermo, Suppl. II, Ser. 58, p.205-212, 1999.

  • S. Bellavia, M. Macconi, B. Morini, The Switching-method in Multiple Shooting, Computing, vol. 60, 275-283, 1998.

  • S. Bellavia, M. Macconi, B. Morini,  Parallel Performances of a Nonstandard Multiple Shooting, SuperComputer, Vol. 13, n. 3/4 (1997), 45-56.

  • L. Dieci, B. Morini, A. Papini, Computational Techniques for Real Logarithms of Matrices, SIAM Journal of Matrix Analysis and Applications 17, No. 3, pp. 570-593, 1996.

  • M.G. Gasparo, B. Morini, A. Papini, A Parallel Method for Quasilinear Problems, Parallel Algorithms and Applications 6, pp. 79-86, 1995.
Articles in referred conference proceedings
  • 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, 70th Conference of the Italian Thermal Machines Engineering Association, ATI 2015, Vol. 82, pp. 546-553.

  • S. Bellavia, D. di Serafino, V. De Simone, B. Morini, Building preconditioners for sequences of linear systems arising in optimization, L. Suhl, G. Mitra, C. Lucas, A Koberstein, L. Beckmann, eds.Applied Mathematical Optimization and Modelling, APMOD 2012 Extended Abstracts, Universitat Paderborn, 2012, pp. 17-22.

  • S. Bellavia, D. Bertaccini, B. Morini,  Quasi matrix free preconditioners in optimization and nonlinear least-squares, American Institute of Physics Conference Proceedings 1281, vol.2, pp. 1036-1039, 2010.

  • R.H. Chan, B. Morini, M. Porcelli, Affine scaling methods for image deblurring problems, American Institute of Physics Conference Proceedings 1281, vol.2, pp.1043-1046, 2010. ISBN 978-0-7354-0835-7.

  • S. Bellavia, M. Macconi, B. Morini,    A two-dimensional trust-region method for large scale bound-constrained nonlinear systems , Series on Advances in Mathematics for Applied Sciences, Vol. 75, Applied and Industrial Mathematics in Italy II, Selected Contributions from the 8th  SIMAI Conference, 20-26 May 2006, Ragusa, Italia, 2007.

  • S. Bellavia, S. Lodi, B. Morini,   Inferences on Kernel density estimates by solving nonlinear systems, Proceeding of the 18th International Conference on Scientific and Statistical Database Management (SSDBM 2006), IEEE Computer Society, Los Alamitos, CA, pp. 389-397, 2006.

  • J.F. Cai, R.H.Chan, B. Morini,   Minimization of edge-preserving functional by conjugate gradient type methods, Image Processing Based on Partial Differential Equations: Proceedings of the International Conference on PDE-Based Image Processing and Related Inverse Problems, pp. 107-120, Oslo, August, 2005. Eds: X.-C. Tai, K.-A. Lie, T.F. Chan, and S. Osher.

  • S. Bellavia, B. Morini,   A globalization strategy for Interior Point methods for Mixed Complementarity Problems, High Performance Algorithms and Software for Nonlinear Optimization,G. Di Pillo and A. Murli eds., Kluwer Academic Publishers, pp. 75-94, 2003.

  • S. Bellavia, M.Macconi, B. Morini,   Numerical solution of bound-constrained nonlinear systems in chemical engineering, Recent Advances in Computational Science & Engineering, H.P.Lee and K.Kumar eds., Imperial College Press, pp. 41-44, 2002.

  • S. Bellavia, M. Macconi, B. Morini,   A hybrid Newton-GMRES method for solving nonlinear equations,
    Lecture Notes in Computer Science, L. Vulkov, J. Wasniewski, P. Yalamov. eds., Vol. 1988, Springer Verlag, pp. 68-75, 2001.
Phd Thesis
  • Metodi di Newton Inesatti nella risoluzione di problemi ai valori iniziali di tipo stiff, 1998