In this paper, a modified Levenberg-Marquardt algorithm (MLMA) is proposed to localize the
'point of burst'of an explosive sound source over the range of (0.5–2500) m. The objective …

This work presents a variant of an inexact projected Levenberg–Marquardt algorithm for
solving constrained nonsmooth equations. More precisely, we propose a local inexact …

Abstract A new Levenberg–Marquardt (LM) method for solving nonlinear least squares
problems with convex constraints is described. Various versions of the LM method have …

Constrained nonlinear equations (CNEs) are involved in numerous practical applications,
and many solutions to CNEs have been reported. In particular, a special neural network …

Many industrial applications result in the constrained underdetermined nonlinear system
(UNS) that needs to be solved. The existing solutions are reported to the constrained UNS …

Solving constrained nonlinear equations has become more challenging as the number of
dimensions rises. In this paper, we develop two families of spectral gradient algorithms …

In this paper, a Comprehensive Diagram Method (CDM) for a Multi-Layer Perceptron
Neuron Network (MLPNN) is proposed to realize natural gas energy metering using …

We revisit a simple, yet capable to provide good solutions, procedure for solving the
Distance Geometry Problem (DGP). This procedure combines two main components: the …

In this study, a machine vision method is proposed to characterize 3D roughness of the
textured surface on cylinder liner processed by plateau honing. The least absolute value …

This paper proposes and analyzes a globalized version of the Newton method for finding a
singularity of the nonsmooth vector fields. Basically, the new method combines a version of …