Generalized Quadratic Interpolation (GQI)

Version 1.0.1 (9.3 KB) by W. Zhao
Generalized Quadratic Interpolation (GQI): a new selection method for optimization
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Updated Tue, 17 Oct 2023 02:47:23 +0000

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When solving a minimization problem for a univariate function, the traditional quadratic interpolation method do not always guarantee obtaining the minimum value of the interpolation polynomial for three points. It has certain requirements for the three points that constitute the interpolation polynomial. However, the generalized quadratic interpolation (GQI) method can overcome this limitation by obtaining the minimum value of the interpolation polynomial formed by any three points. This method is simple and easy to implement, therefore, as a new operator, it can conveniently be integrated into various optimization algorithms to enhance their optimization capabilities.
The codes include: (1) a demo of the GQI method for minimization; (2) a simple example where the GQI method is integrated into WOA.
W. Zhao, L. Wang, Z. Zhang, S. Mirjalili, N. Khodadadi, Q. Ge, Quadratic Interpolation Optimization (QIO): A new optimization algorithm based on generalized quadratic interpolation and its applications to real-world engineering problems, Computer Methods in Applied Mechanics and Engineering (2023) 116446, https://doi.org/10.1016/j.cma.2023.116446.
The free download of paper (before November 17, 2023) is available at:https://authors.elsevier.com/a/1hqpHAQEJ1Ki8

Cite As

W. Zhao (2024). Generalized Quadratic Interpolation (GQI) (https://www.mathworks.com/matlabcentral/fileexchange/136649-generalized-quadratic-interpolation-gqi), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2023b
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Generalized Quadratic Interpolation (GQI)/Demo

Generalized Quadratic Interpolation (GQI)/GQI_WOA

Version Published Release Notes
1.0.1

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1.0.0