A family of quasi-Newton methods for unconstrained optimization problems

Salim, M. S.; Ahmed, A.

doi:10.1080/02331934.2018.1487423

Cited by 8 publications

(3 citation statements)

References 19 publications

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“…( 1) Xt+ is the final location update operation. k A and k C ( 1,2,3) k = are similar to Eq. ( 2) and Eq.…”

Section: Huntingmentioning

confidence: 90%

“…Parameter estimation in the kinetics of SCWO is a complicated optimization problem with high-dimensional, nonlinear, and multiple local optimal solutions. Gradient-based optimization techniques, such as the Newton method [1], quasi-Newton method, and conjugation direction method [2], easily fall into local optima and are sensitive to initialization. Metaheuristic algorithms have become an effective solution used by scholars and scientists for confronting many problems due to their simple operations, higher efficiency and so on.…”

Section: Introductionmentioning

confidence: 99%

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A hybrid DNA editing-inspired gray wolf algorithm for kinetic parameter estimation of oxidation in supercritical water

Qin

2023

Preprint

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A chemical kinetics model can be used to analyze the influence of various factors (such as concentrations, pressures, temperatures, and catalysts.) on reaction rates. It is the basis of process design, optimization and control. However, the chemical kinetics model often contains multiple adjustable parameters, which are very difficult to estimate accurately through experimental data by using traditional methods. In this paper, a hybrid DNA-GWO algorithm is proposed to obtain an accurate kinetics model. Inspired by the genetic operation, a new DNA crossover operator and mutation operator are designed to enhance the diversity of individuals and prevent prematurity. The effectiveness is proven by numerical experiments on benchmark functions, and the operators are compared with the basic GWO and PSO operators. The kinetic parameter estimation results on experimental supercritical water oxidation data also indicate the better search capability of the model.

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“…( 1) Xt+ is the final location update operation. k A and k C ( 1,2,3) k = are similar to Eq. ( 2) and Eq.…”

Section: Huntingmentioning

confidence: 90%

Section: Introductionmentioning

confidence: 99%

A hybrid DNA editing-inspired gray wolf algorithm for kinetic parameter estimation of oxidation in supercritical water

Qin

2023

Preprint

View full text Add to dashboard Cite

show abstract

“…where x ∈ R n , and f: R n ⟶ R is a continuously differentiable function bounded from below. e quasi-Newton methods are currently used in countless optimization software for solving unconstrained optimization problems [1][2][3][4][5][6][7][8]. e BFGS method, one of the most efficient quasi-Newton methods, for solving (1) is an iterative method of the following form:…”

Section: Introductionmentioning

confidence: 99%

Global Convergence of a Modified Two-Parameter Scaled BFGS Method with Yuan-Wei-Lu Line Search for Unconstrained Optimization

Wang

Luo

et al. 2020

Mathematical Problems in Engineering

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The BFGS method is one of the most efficient quasi-Newton methods for solving small- and medium-size unconstrained optimization problems. For the sake of exploring its more interesting properties, a modified two-parameter scaled BFGS method is stated in this paper. The intention of the modified scaled BFGS method is to improve the eigenvalues structure of the BFGS update. In this method, the first two terms and the last term of the standard BFGS update formula are scaled with two different positive parameters, and the new value of yk is given. Meanwhile, Yuan-Wei-Lu line search is also proposed. Under the mentioned line search, the modified two-parameter scaled BFGS method is globally convergent for nonconvex functions. The extensive numerical experiments show that this form of the scaled BFGS method outperforms the standard BFGS method or some similar scaled methods.

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A new filled function method based on adaptive search direction and valley widening for global optimization

Wang

Fan

2021

Appl Intell

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A family of quasi-Newton methods for unconstrained optimization problems

Cited by 8 publications

References 19 publications

A hybrid DNA editing-inspired gray wolf algorithm for kinetic parameter estimation of oxidation in supercritical water

A hybrid DNA editing-inspired gray wolf algorithm for kinetic parameter estimation of oxidation in supercritical water

Global Convergence of a Modified Two-Parameter Scaled BFGS Method with Yuan-Wei-Lu Line Search for Unconstrained Optimization

A new filled function method based on adaptive search direction and valley widening for global optimization

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