FDEMtools

A MATLAB package for FDEM data inversion
Authors: G. P. Deidda, P. Díaz De Alba, C. Fenu, G. Lovicu, and G. Rodriguez
This package provides a set of Matlab functions to solve a non-linear electromagnetic data inversion problem. Starting from electromagnetic data collected by a ground conductivity meter, we reconstruct either the electrical conductivity or the magnetic permeability of the soil with respect to depth by a regularized Gauss-Newton method. The inversion algorithm is based on the low-rank approximation of the Jacobian of the nonlinear model, which depends both on a relaxation parameter and a regularization parameter, chosen by automatic procedures.

The package is described in the paper:
• G.P Deidda, P. Díaz de Alba, C. Fenu, G. Lovicu, and Rodriguez.
  FDEMtools: a MATLAB package for FDEM data inversion.
  Numerical Algorithms, 84(4): 1313-1327, 2020. DOI: 10.1007/s11075-019-00843-2
The algorithms have been developed in the papers:
• G. P. Deidda, C. Fenu, and G. Rodriguez
  Regularized solution of a nonlinear problem in electromagnetic sounding.
  Inverse Problems, 30:125014 (27 pages), 2014. DOI: 10.1088/0266-5611/30/12/125014
• P. Díaz De Alba and G. Rodriguez
  Regularized inversion of Multi-frequency EM Data in Geophysical Applications.
  Book Trends in Differential Equations and Applications, SEMA SIMAI Springer Series 8, 2016. Pages 357-369. DOI: 10.1007/978-3-319-32013-7
• G.P. Deidda, P. Díaz De Alba, and G. Rodriguez
  Identifying the magnetic permeability in multi-frequency EM data inversion.
  Electronic Transactions on Numerical Analysis, 47:1-17, 2017.
The package requires the Regularization Tools toolbox by P.C. Hansen.
Last updated: August 15, 2018.

mngn2

Minimal norm solution of a nonlinear least squares problem.
Authors: F. Pes and G. Rodriguez.
This Matlab package implements the algorithms described in the papers:
• F. Pes and G. Rodriguez.
  The minimal norm Gauss-Newton method and some of its regularized variants.
  Electronic Transactions on Numerical Analysis, 53:459-480, 2020. DOI: 10.1553/etna_vol53s459
• F. Pes and G. Rodriguez.
  A doubly relaxed minimal-norm Gauss-Newton method for underdetermined nonlinear least-squares problems.
  Appl. Numer. Math., 171:233-248, 2022. DOI: 10.1016/j.apnum.2021.09.002
The package requires the routine get_l.m from the Regularization Tools toolbox by P.C. Hansen.
Last updated: December 14, 2021.

PQser

A Matlab package for spectral seriation.
Authors: A. Concas, C. Fenu, and G. Rodriguez.
This toolbox contains an implementation of an algorithm to solve the seriation problem. It also implements a data structure for PQ trees.

The toolbox is described in the paper:
• A. Concas, C. Fenu, and G. Rodriguez.
  pqser: a Matlab package for spectral seriation.
  Numerical Algorithms, 80(3):879-902, 2019. DOI: 10.1007/s11075-018-0510-6
The spectral algorithm has been introduced in the paper
• J. E. Atkins, E. G. Boman, and B. Hendrickson.
  A spectral algorithm for seriation and the consecutive ones problem.
  SIAM Journal on Computing, 28(1):297-310, 1998.
Last updated: September 20, 2018.

ps3d

A Matlab package for photometric stereo 3D reconstruction.
Authors: A. Concas, R. Dessì, C. Fenu, G. Rodriguez, and M. Vanzi.
The toolbox is described in the paper:
• A. Concas, R. Dessì, C. Fenu, G. Rodriguez, and M. Vanzi
  Identifying the lights position in photometric stereo under unknown lighting.
  In Proceedings of the International Conference on Computational Science and its Applications (ICCSA), Cagliari, Italy, September 2021.
  To appear. Available at arXiv:1809.06933 [math.NA], 2021.
Last updated: June 13, 2021.

Scorepochs: Matlab version - Python version

A Computer-Aided Scoring Tool for Resting-State M/EEG Epochs
Authors: M. Fraschini, M. Demuru, S. M. La Cava.
The toolbox is described in the paper:
• M. Fraschini, S. M. La Cava, G. Rodriguez, A. Vitale, M. Demuru
  Scorepochs: A Computer-Aided Scoring Tool for Resting-State M/EEG Epochs
  Sensors, 22:2953, 2022.
Last updated: June 20, 2022.