Levenberg-Marquardt method with singular scaling and applications
E Boos, DS Gonçalves, FSV Bazán - Applied Mathematics and …, 2024 - Elsevier
Inspired by certain regularization techniques for linear inverse problems, in this work we
investigate the convergence properties of the Levenberg-Marquardt method using singular …
investigate the convergence properties of the Levenberg-Marquardt method using singular …
Feasible sequential convex programming with inexact restoration for multistage ascent trajectory optimization
Y Ma, B Pan, R Yan - IEEE Transactions on Aerospace and …, 2022 - ieeexplore.ieee.org
This article presents a feasible sequential convex programming method to solve the
multistage ascent trajectory optimization problem. The proposed method is based on the …
multistage ascent trajectory optimization problem. The proposed method is based on the …
Forward electromagnetic induction modelling in a multilayered half-space: an open-source software tool
Electromagnetic induction (EMI) techniques are widely used in geophysical surveying. Their
success is mainly due to their easy and fast data acquisition, but the effectiveness of data …
success is mainly due to their easy and fast data acquisition, but the effectiveness of data …
A doubly relaxed minimal-norm Gauss–Newton method for underdetermined nonlinear least-squares problems
When a physical system is modeled by a nonlinear function, the unknown parameters can
be estimated by fitting experimental observations by a least-squares approach. Newton's …
be estimated by fitting experimental observations by a least-squares approach. Newton's …
Regularized minimal-norm solution of an overdetermined system of first kind integral equations
Overdetermined systems of first kind integral equations appear in many applications. When
the right-hand side is discretized, the resulting finite-data problem is ill-posed and admits …
the right-hand side is discretized, the resulting finite-data problem is ill-posed and admits …
Minimal-norm RKHS solution of an integral model in geo-electromagnetism
In this paper, a numerical method is developed for approximating the solution of a linear
integral model in a reproducing kernel Hilbert space (RKHS). The model is typical of …
integral model in a reproducing kernel Hilbert space (RKHS). The model is typical of …
[HTML][HTML] Ascertaining the ideality of photometric stereo datasets under unknown lighting
The standard photometric stereo model makes several assumptions that are rarely verified
in experimental datasets. In particular, the observed object should behave as a Lambertian …
in experimental datasets. In particular, the observed object should behave as a Lambertian …
An efficient implementation of the Gauss–Newton method via generalized Krylov subspaces
The solution of nonlinear inverse problems is a challenging task in numerical analysis. In
most cases, this kind of problems is solved by iterative procedures that, at each iteration …
most cases, this kind of problems is solved by iterative procedures that, at each iteration …
[HTML][HTML] Color reconstruction by photometric stereo with unknown lighting of rock art carvings found in two Sardinian Domus de Janas
Artifacts documentation is an important aspect of archaeological studies, not only to
preserve these objects but also to learn from them the culture of ancient populations. Hence …
preserve these objects but also to learn from them the culture of ancient populations. Hence …
[HTML][HTML] A projection method for general form linear least-squares problems
One of the possible approaches for the solution of underdetermined linear least-squares
problems in general form, for a chosen regularization operator L, projects the problem in the …
problems in general form, for a chosen regularization operator L, projects the problem in the …