Embedded Files
GFW: a Greedy Frank Wolfe method for multiclass data segmentation (MATLAB).
C. Faccio, M. Porcelli, F. Rinaldi, M. Stoll, Fast and Simple Multiclass Data Segmentation: An Eigendecomposition and Projection-Free Approach, pp. 1-21, 2025 (arXiv:2508.09738).
NOZZLE: constrained blackbox optimization benchmarking test problem.
L. Cocchi, F. Marini, M. Porcelli, E. Riccietti, Black-box optimization for the design of a jet plate for impingement cooling, Optimization and Engineering (2025) https://doi.org/10.1007/s11081-025-09981-0.
Matlab codes for Nonlinear matrix decomposition with the ReLU function (ReLU-NMD)
G. Seraghiti, A. Awari, A. Vandaele, M. Porcelli, N. Gillis, "Accelerated Algorithms for Nonlinear Matrix Decomposition with the ReLU function", MLSP 2023, 17-20 September, 2023, Rome. [arXiv]
N. Gillis, M. Porcelli, G. Seraghiti, An extrapolated and provably convergent algorithm for nonlinear matrix decomposition with the ReLU function, pp. 1-26, 2025 (arXiv:2503.23832).
IPLR_mc: Interior Point Low-Rank for Matrix Completion SDP reformulation
IPLR_mc: Interior Point Low-Rank for Matrix Completion SDP reformulation
Matlab code implementing the Interior-Point algorithm IPLR-BB for the solution of matrix completion problems described in
S. Bellavia, J. Gondzio, M. Porcelli, A relaxed interior point method for low-rank semidefinite programming problems with applications to matrix completion, Journal of Scientific Computing, 89 (2021), Article 46.
BFO (Brute-Force Optimizer) an open-source direct-search derivative-free MATLAB solver for bound-constrained mathematical optimization problems.
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.
TRESNEI (Trust-REgion Solver for systems of Nonlinear Equalities and Inequalities) a Newton trust-region based method for solving systems of equalities and inequalities (MATLAB).
B.Morini, M.Porcelli, "TRESNEI, a Matlab trust-region solver for systems of nonlinear equalities and inequalities, Computational Optimization and Applications, (2012) 51:1, pp. 27-49.
barzilaiborwein is a Riemannian Barzilai-Borwein method for optimization problems on manifolds.
The MATLAB code is included in the Manopt library
B. Iannazzo, M. Porcelli, The Riemannian Barzilai-Borwein method with nonmonotone line-search and the matrix geometric mean computation, IMA Journal of Numerical Analysis, 38:1 (2018), pp. 495-517.
L2RT is a Fortran 95 package (part of the GALAHAD library) which approximately solves a regularized least l2-norm minimization problem. The implemented algorithm is based on the works [Cartis, Gould, Toint, BIT 2009] and [Bellavia, Cartis, Gould, Morini, Toint, SINUM 2010].
NOSA is a finite element code developed by the Mechanics of Materials and Structures Laboratory of ISTI-CNR with the aim of testing new constitutive models for materials, checking the algorithm used for integrating the equations of the motion, as well as other numerical techniques for solving structural engineering problems. NOSA can be used to study the static and dynamic behaviour of masonry buildings of historic and architectural interest and model the effectiveness of strengthening operations.
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.
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