A Gauss-Newton method for solving bound-constrained underdetermined nonlinear systems. - Maria Macconi; Benedetta Morini; Margherita Porcelli (Optim. Methods Softw., 2009)

A reduced Newton method for constrained linear least-squares problems. - Benedetta Morini; Margherita Porcelli; Raymond H. Chan (J. Comput. Appl. Math., 2010)

Updating the regularization parameter in the adaptive cubic regularization algorithm. - Nicholas I. M. Gould; Margherita Porcelli; Philippe L. Toint (Comput. Optim. Appl., 2012)

TRESNEI, a Matlab trust-region solver for systems of nonlinear equalities and inequalities. - Benedetta Morini; Margherita Porcelli (Comput. Optim. Appl., 2012)

On the convergence of an inexact Gauss-Newton trust-region method for nonlinear least-squares problems with simple bounds. - Margherita Porcelli (Optim. Lett., 2013)

A variable fixing version of the two-block nonlinear constrained Gauss-Seidel algorithm for ( ell _1 ) -regularized least-squares. - Margherita Porcelli; Francesco Rinaldi (Comput. Optim. Appl., 2014)

New updates of incomplete LU factorizations and applications to large nonlinear systems. - Stefania Bellavia; Benedetta Morini; Margherita Porcelli (Optim. Methods Softw., 2014)

Preconditioning of Active-Set Newton Methods for PDE-constrained Optimal Control Problems. - Margherita Porcelli; Valeria Simoncini; Mattia Tani (SIAM J. Sci. Comput., 2015)

Preconditioning PDE-constrained optimization with L1-sparsity and control constraints. - Margherita Porcelli; Valeria Simoncini; Martin Stoll (Comput. Math. Appl., 2017)

A note on using performance and data profilesfor training algorithms. - Margherita Porcelli; Philippe L. Toint (CoRR, 2017)

BFO, A Trainable Derivative-free Brute Force Optimizer for Nonlinear Bound-constrained Optimization and Equilibrium Computations with Continuous and Discrete Variables. - Margherita Porcelli; Philippe L. Toint (ACM Trans. Math. Softw., 2017)

Quasi-Newton methods for constrained nonlinear systems: complexity analysis and applications. - Leopoldo Marini; Benedetta Morini; Margherita Porcelli (Comput. Optim. Appl., 2018)

Approximate norm descent methods for constrained nonlinear systems. - Benedetta Morini; Margherita Porcelli; Philippe L. Toint (Math. Comput., 2018)

Improved Penalty Algorithm for Mixed Integer PDE Constrained Optimization (MIPDECO) Problems. - Dominik Garmatter; Margherita Porcelli; Francesco Rinaldi; Martin Stoll (CoRR, 2019)

A relaxed interior point method for low-rank semidefinite programming problems. - Stefania Bellavia; Jacek Gondzio; Margherita Porcelli (CoRR, 2019)

An inexact dual logarithmic barrier method for solving sparse semidefinite programs. - Stefania Bellavia; Jacek Gondzio; Margherita Porcelli (Math. Program., 2019)

A Note on Using Performance and Data Profiles for Training Algorithms. - Margherita Porcelli; Philippe L. Toint (ACM Trans. Math. Softw., 2019)

Finite element model updating for structural applications. - Maria Girardi; Cristina Padovani; Daniele Pellegrini; Margherita Porcelli; Leonardo Robol (J. Comput. Appl. Math., 2020)

Interior-point methods and preconditioning for PDE-constrained optimization problems involving sparsity terms. - John W. Pearson; Margherita Porcelli; Martin Stoll (Numer. Linear Algebra Appl., 2020)

A Tensor-Train Dictionary Learning algorithm based on Spectral Proximal Alternating Linearized Minimization. - Domitilla Brandoni; Margherita Porcelli; Valeria Simoncini (CoRR, 2021)

A Relaxed Interior Point Method for Low-Rank Semidefinite Programming Problems with Applications to Matrix Completion. - Stefania Bellavia; Jacek Gondzio; Margherita Porcelli (J. Sci. Comput., 2021)

Improved penalty algorithm for mixed integer PDE constrained optimization problems. - Dominik Garmatter; Margherita Porcelli; Francesco Rinaldi; Martin Stoll (Comput. Math. Appl., 2022)

A semidefinite programming approach for the projection onto the cone of negative semidefinite symmetric tensors with applications to solid mechanics. - Cristina Padovani; Margherita Porcelli (CoRR, 2022)

Numerical solution of a class of quasi-linear matrix equations. - Margherita Porcelli; Valeria Simoncini (CoRR, 2022)

Solving Nonlinear Systems of Equations Via Spectral Residual Methods: Stepsize Selection and Applications. - Enrico Meli; Benedetta Morini; Margherita Porcelli; Cristina Sgattoni (J. Sci. Comput., 2022)

Exploiting Problem Structure in Derivative Free Optimization. - Margherita Porcelli; Philippe L. Toint (ACM Trans. Math. Softw., 2022)

Accelerated Algorithms For Nonlinear Matrix Decomposition With The Relu Function. - Giovanni Seraghiti; Atharva Awari; Arnaud Vandaele; Margherita Porcelli; Nicolas Gillis (MLSP, 2023)

An improved penalty algorithm using model order reduction for MIPDECO problems with partial observations. - Dominik Garmatter; Margherita Porcelli; Francesco Rinaldi; Martin Stoll (Comput. Optim. Appl., 2023)

Regularized methods via cubic subspace minimization for nonconvex optimization. - Stefania Bellavia; Davide Palitta; Margherita Porcelli; Valeria Simoncini (CoRR, 2023)

Dictionary Learning for data compression within a Digital Twin Framework. - Laura Cavalli; Domitilla Brandoni; Margherita Porcelli; Eric Pascolo (Ital-IA, 2024)

A multilevel stochastic regularized first-order method with application to training. - Filippo Marini; Margherita Porcelli; Elisa Riccietti (CoRR, 2024)

An extrapolated and provably convergent algorithm for nonlinear matrix decomposition with the ReLU function. - Nicolas Gillis; Margherita Porcelli; Giovanni Seraghiti (CoRR, 2025)

Regularized methods via cubic model subspace minimization for nonconvex optimization. - Stefania Bellavia; Davide Palitta; Margherita Porcelli; Valeria Simoncini (Comput. Optim. Appl., 2025)

Correction: Regularized methods via cubic model subspace minimization for nonconvex optimization. - Stefania Bellavia; Davide Palitta; Margherita Porcelli; Valeria Simoncini (Comput. Optim. Appl., 2025)

Fast and Simple Multiclass Data Segmentation: An Eigendecomposition and Projection-Free Approach. - Chiara Faccio; Margherita Porcelli; Francesco Rinaldi; Martin Stoll (CoRR, 2025)