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Linear and Nonlinear Programming, 2021
In Chap. 6, multidimensional optimization methods were considered in which the search for the minimizer is carried out by using a set of conjugate directions. An important feature of some of these methods (e.g., the Fletcher–Reeves and Powell’s methods) is that explicit expressions for the second derivatives of \(f(\mathbf{x})\) are not required ...
D. Luenberger, Yin-Yu Ye
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In Chap. 6, multidimensional optimization methods were considered in which the search for the minimizer is carried out by using a set of conjugate directions. An important feature of some of these methods (e.g., the Fletcher–Reeves and Powell’s methods) is that explicit expressions for the second derivatives of \(f(\mathbf{x})\) are not required ...
D. Luenberger, Yin-Yu Ye
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Relaxation of Crystals with the Quasi-Newton Method
Journal of Computational Physics, 1997The authors present a relaxation scheme for crystals with the quasi-Newton method. The method preserves the crystal structure during relaxation. The efficiency of the method is demonstrated for silicon test problems.
Bernd G. Pfrommer +3 more
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An Adaptive Quasi-Newton Equation for Unconstrained Optimization
2021 2nd Information Technology To Enhance e-learning and Other Application (IT-ELA), 2021The quasi-Newton methods is an effective and interesting methods and their good accuracy for unconstrained optimization. In this paper, a novel quasi-Newton equation is given based on the quadratic model, and quasi-Newton methods are constructed on it ...
Basim A. Hassan, Abdulrahman R. Ayoob
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Optim. Methods Softw., 2020
We propose and analyse a nonmonotone quasi-Newton algorithm for unconstrained strongly convex multiobjective optimization. In our method, we allow for the decrease of a convex combination of recent function values. We establish the global convergence and
N. Mahdavi-Amiri, F. S. Sadaghiani
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We propose and analyse a nonmonotone quasi-Newton algorithm for unconstrained strongly convex multiobjective optimization. In our method, we allow for the decrease of a convex combination of recent function values. We establish the global convergence and
N. Mahdavi-Amiri, F. S. Sadaghiani
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Blended cured quasi-newton for distortion optimization
ACM Transactions on Graphics, 2018Optimizing distortion energies over a mesh, in two or three dimensions, is a common and critical problem in physical simulation and geometry processing.
Yu-Feng Zhu +2 more
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A Quasi-Newton Method with Wolfe Line Searches for Multiobjective Optimization
Journal of Optimization Theory and Applications, 2022L. F. Prudente, D. Souza
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Rapid least-squared inversion of apparent resisitivity pseudosections by a quasi-Newton method
, 1996M. H. Loke, R. Barker
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Combining Synchronous Transit and Quasi-Newton Methods to Find Transition States
, 1993C. Peng, H. Schlegel
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Phase field fracture modelling using quasi-Newton methods and a new adaptive step scheme
Theoretical and Applied Fracture Mechanics, 2020Emilio Martínez-Pañeda
exaly
On Quasi-Newton methods in fast Fourier transform-based micromechanics
International Journal for Numerical Methods in Engineering, 2020Thomas Böhlke +2 more
exaly