Shimming in the context of nuclear magnetic resonance aims to achieve a uniform magnetic
field distribution, as perfect as possible, and is crucial for useful spectroscopy and imaging …

Abstract The Levenberg-Marquardt algorithm (LMA) is generally used to solve diverse
complex nonlinear least square (CNLS) problems and is one of the most used algorithms to …

The demand for sustainable and feasible water treatment technologies (WTT) increases with
the growing realization of the magnitude of the damage that our indiscriminate wastewater …

The FWI is formulated as a nonlinear optimization problem that traditionally uses local
(derivative-based) minimization to find the scalar field of properties that best represents the …

The proper configuration of a metaheuristic requires specific and advanced knowledge, for
instance to decide an appropriate population size, to effectively set probability parameters …

During the past several decades, inexpensive compact nuclear magnetic resonance (NMR)
instruments have been widely used for on-site detections of chemical identity and sample …

In spite of being one of the most popular optimization methods, Nelder–Mead's simplex
search algorithm with the default choice of parameters performs poorly on high-dimensional …

Quantum speedups of some general-purpose numerical optimisation algorithms - IOPscience
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Abstract Nelder-Mead “simplex” algorithm (NMA) is a derivative-free algorithm that can be
used to solve complex nonlinear least-squared (CNLS) problems. NMA can fit equivalent …

This paper introduces a novel approach for enhancing the Nelder–Mead Simplex method by
utilizing the weighted mean of simplex vertices to efficiently determine the search direction …