Work

MNGNreg toolbox for the regularized solution of nonlinear least-squares problems

Year: 2025

Type: article

Abstract: This paper describes a Matlab toolbox designed to solve nonlinear least-squares problems, with a particular focus on ill-posed cases lacking unique solution, allowing to obtain the minimal-norm solution. The algorithm is based on the Gauss-Newton method, in which the iteration is modified introducing a projection term onto the null space of the Jacobian of the nonlinear function. To address the severe ill-conditioning often encountered in real-world applications, the toolbox also includes some regularization techniques.

Source: Journal of Approximation Software

DOI: 10.13135/3103-1935/11898

Authors: Pes, Federica, Rodriguez, Giuseppe

Institution: University of Cagliari

Language: English

Topic: Numerical methods in inverse problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", European Commission, Gruppo Nazionale per il Calcolo Scientifico