PUBLICATIONS

preprints

S. BELLAVIA,B. MORINI, Strong local convergence properties of adaptive regularized methods for nonlinear least-squares, Univ. Firenze, Dipartimento di Ingegneria Industriale, Pubblicazione n. 1/2013, 2013. [pdf],

E.FRANDI, M.G.GASPARO, S.LODI, R.NANCULEF, C.SARTORI, Training Support Vector Machines Using Frank-Wolfe Optimization Methods, submitted to International Journal of Pattern Recognition and Artificial Intelligence

E.FRANDI, A.PAPINI, Coordinate search algorithms in multilevel optimization, submitted to Optimization Methods and Software, 2012.

refereed articles

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, 35, pp. A192A211, 2013 [pdf],

S.BELLAVIA, B. MORINI, M. PORCELLI, New updates of incomplete LU factorizations and applications to large nonlinear systems , Optimization Methods and Software, 2013, doi:10.1080/10556788.2012.762517. [pdf] ,

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, pp. 447465, 2013. [pdf],

2012

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. 32803302, 2012 [pdf],

S.BELLAVIA, M.MACCONI, B.MORINI, Diagonally Scaled Dogleg Methods for Nonlinear Systems with Simple Bounds, Recent advances in nonlinear optimization and equilibrium problems: a tribute to Marco D'Apuzzo,(V. De Simone, D. di Serafino and G. Toraldo eds.),pp. 17-40 ARACNE Editrice,2012. [pdf],

S.BELLAVIA, M.MACCONI, S.PIERACCINI, Constrained Dogleg Methods for nonlinear systems with simple bounds, Computational Optimization and Applications,Vol. 53, pp. 771-794, 2012 [pdf],

E.FRANDI, M.G.GASPARO, S.LODI, R.NANCULEF, A.PAPINI, Classification problems solution via computational geometry methods, Recent advances in nonlinear optimization and equilibrium problems: a tribute to Marco D'Apuzzo,(V. De Simone, D. di Serafino and G. Toraldo eds.),pp. 17-40 ARACNE Editrice,2012.

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, pp1-22, 2012 [pdf],

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, [pdf],

2011

S.BELLAVIA, V.De SIMONE, D.Di SERAFINO, B.MORINI, Efficient preconditioner updates for shifted linear systems SIAM J. on Scientific Computing, 33, pp. 1785-1809, 2011 [pdf],

S.BELLAVIA, J.GONDZIO, B.MORINI, Computational experience with numerical methods for nonegative least-squares problems Numerical Linear Algebra with applications, 18, pp. 363-385, 2011 [pdf],

S.BELLAVIA, D.BERTACCINI, B.MORINI, Nonsymmetric preconditioner updates in Newton-Krylov methods for nonlinear systems SIAM J. on Scientific Computing, 33, pp. 2595-2619, 2011 [pdf],

S.BELLAVIA, S.MAGHERI, C.MIANI, Inexact Newton methods for model simulation, International Journal of Computer Mathematics, 88, pp. 2969-2987, 2011. [pdf],

2010

S.BELLAVIA, C.CARTIS, N.I.M.GOULD, B.MORINI and Ph.L.TOINT, Convergence of a Regularized Euclidean Residual Algorithm for Nonlinear Least-Squares , SIAM Journal on Numerical Analysis, 48, pp. 1-29, 2010 [pdf],

B.MORINI, M.PORCELLI, R.H.CHAN, A Reduced Newton Method for Constrained Least-Squares Problems , Journal of Computational and Applied Mathematics, 233, pp.2200-2212, 2010 [pdf],

C.BOGANI, M.G.GASPARO, A.PAPINI,A GSS method for oblique l1 Procrustes problems, accettato per la pubblicazione nel volume Applied and Industrial Mathematics in Italy III, Proceedings of the 9th Conference SIMAI, De Bernardis E. et al. (eds), Series on Advances in Mathematics for Applied Sciences [pdf],

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

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

M.MACCONI, B.MORINI, M.PORCELLI, A Gauss-Newton method for solving bound-constrained underdetermined nonlinear systems, Optimization Methods and Software,(OMS), 24, pp. 219-235, 2009

S.BELLAVIA, S.PIERACCINI, Numerical solution of KKT systems in PDE-constrained optimization problems via the affine scaling trust region approach, International Journal of Computer Mathematics, 86, pp.2122-2142, 2009

C.BOGANI, M.G.GASPARO, A.PAPINI, Generating set search for piecewise smooth problems , SIAM Journal on Optimization, 20, pp.321-335, 2009

C.BOGANI, M.G.GASPARO, A.PAPINI, Generalized pattern search methods for a class of nonsmooth problems with structure, Journal of Computational and Applied Mathematics, 229, pp.283-293, 2009

2008

S.BELLAVIA, S.MAGHERI, C.MIANI, Inexact Newton methods for model simulation: a toolkit, Università di Firenze, Pubblicazione n. 3/2008, 2008.

2007

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, S.BERRONE, Globalization strategies for Newton-Krylov methods for stabilized FEM discretization of Navier-Stokes equations, Journal of Computational Physics, Vol. 226, pp 2317-2340, 2007

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.

C.BOGANI, M.G.GASPARO, A.PAPINI, A pattern search method for discrete L1-approximation, Journal Optimization Theory and Applications, 133, 2007

M.G.GASPARO, A.PAPINI, A.PASQUALI, A two-stage method for nonlinear inverse problems, J. of Computational and Applied Mathematics, 198, pp.471-482, 2007

2006

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

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

BELLAVIA S., LODI S., MORINI B.,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.

L.DIECI, M.G.GASPARO, A. PAPINI,Path following by SVD, ICCS 2006, Proceedings- Part IV, Alexandrov et al. Eds,Lectures Notes in Computer Science, 3994, pp.677-684, 2006

2005

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

CAI J.F., CHAN R.H., MORINI B., 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.

2004

BAI Z.-J., CHAN R.H., MORINI B., An inexact Cayley-Transform method for inverse eigenvalue problems, Inverse Problems, 20, pp. 1675-1689, 2004.

BELLAVIA S., MACCONI M., MORINI B., STRSCNE: A scaled trust-region solver for constrained nonlinear equations, Computational Optimization and Applications, 28, pp. 31-50, 2004.

BELLAVIA S., PIERACCINI S.,Convergence analysis of an Inexact Infeasible Interior Point method for Semidefinite Programming, Computational Optimization and Applications, 29, pp. 289-313, 2004.

2003

BELLAVIA S., MACCONI M., MORINI B., An affine scaling trust-region approach to bound-constrained nonlinear systems, Applied Numerical Mathematics, 44, pp. 257-280, 2003.

BELLAVIA S., MORINI B., Global convergence enhancement of classical linesearch interior point methods for MCPs, Journal of Computational and Applied Mathematics, 151, pp. 171-199, 2003.

BELLAVIA S., MORINI B., 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.

CHAN R.H., BAI Z.-J., MORINI B., 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.

PIERACCINI S., GASPARO M.G., PASQUALI A.,Global Newton-type methods and semismooth reformulations for NCP, Applied Numerical Mathematics, 44, 367-384, 2003

2002

GASPARO M.G., PIERACCINI S., ARMELLINI S., An infeasible Interior-Point method with nonmonotonic complementarity gaps, Optimization Methods and Software, 17, pp. 561-586, 2002

BELLAVIA S., MACCONI M., MORINI B.,Numerical solution of bound-constrained nonlinear systems in chemical engineering, Recent Advances in Computational Science & Egineering, H.P.Lee, K.Kumar eds., Imperial College Press, pp. 41-44, 2002.

2001

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

BELLAVIA S., GASPARO M.G.,On the numerical solution of finite-dimensional variational inequalities by an interior-point method, In; Equilibrium problems and variational models, Giannessi F., Maugeri A., Pardalos P. (Eds). Nonconvex Optimization and Its Applications, Vol.28, Kluwer Academic Pub., pp.1-20, 2001

BELLAVIA S., MACCONI M., MORINI B., A hybrid Newton-GMRES method for solving nonlinear equations, Lecture Notes in Computer Science, L. Vulkov, J Wasniewski, P. Yamalov eds., Vol. 1988 , Springer Verlag, pp. 68-75 , 2001

GASPARO M.G., PAPINI A., PASQUALI A., Nonmonotone algorithms for pattern search methods, Numerical Algorithms, 28, 171-186, 2001

2000

GASPARO M.G., MORINI B., Inexact methods: forcing terms and conditioning, Journal Optimization Theory and Applications, Vol. 107, No.3, pp. 575-591, 2000

GASPARO M.G., A nonmonotone hybrid method for nonlinear systems, Optimization Methods and Software, 13,pp.79-92, 2000

GASPARO M.G., PASQUALI A., A numerical method for computing the periodic solutions of the ring-spinning baloon equations, International Journal of Computer Mathematics, 75,pp.369-386, 2000