A Hessian-free Newton-Raphson method for the configuration of physics systems featured by numerically asymmetric force field
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Publication:2229103
DOI10.1016/j.matcom.2016.11.011OpenAlexW2586774331MaRDI QIDQ2229103
Peter W. Chung, Zhen-Jun Shi, Y. Liang
Publication date: 19 February 2021
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2016.11.011
unconstrained optimizationBiCGstabnonlinear conjugate gradientcentral-differenceHessian-free Newton-Raphson method
Mathematical programming (90Cxx) Numerical methods for mathematical programming, optimization and variational techniques (65Kxx)
Uses Software
Cites Work
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- Finite-element-wise domain decomposition iterative solvers with polynomial preconditioning
- Is the cutoff radius in DPD simulations with a fluid of constant density arbitrary?
- On diagonally preconditioning the truncated Newton method for super-scale linearly constrained nonlinear prrogramming
- An analysis of nanoindentation in linearly elastic solids
- Historical developments in convergence analysis for Newton's and Newton-like methods
- Maintaining convergence properties of BiCGStab methods in finite precision arithmetic
- Reliable updated residuals in hybrid Bi-CG methods
- Timing-sequence testing of parallel programs
- An adaptive finite element approach to atomic-scale mechanics. -- The quasicontinuum method
- Differences in the Effects of Rounding Errors in Krylov Solvers for Symmetric Indefinite Linear Systems
- Reduced-Hessian Quasi-Newton Methods for Unconstrained Optimization
- Numerical Experience with Limited-Memory Quasi-Newton and Truncated Newton Methods
- On Using Approximate Finite Differences in Matrix-Free Newton–Krylov Methods
- Preconditioned conjugate- and secant-Newton methods for non-linear problems
- QN-like variable storage conjugate gradients
- Preconditioning of Truncated-Newton Methods
- Inexact Newton Methods
- A Numerical Study of the Limited Memory BFGS Method and the Truncated-Newton Method for Large Scale Optimization
- Quasi-Newton Methods, Motivation and Theory
- Convergence Theory of Nonlinear Newton–Krylov Algorithms
- Line search algorithms with guaranteed sufficient decrease
- TNPACK—A truncated Newton minimization package for large-scale problems
- TNPACK—a truncated Newton minimization package for large-scale problems
- Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing
- Efficient Implementation of the Truncated-Newton Algorithm for Large-Scale Chemistry Applications
- A Local Convergence Theory for Combined Inexact-Newton/Finite-Difference Projection Methods
- On the Order of Convergence of Preconditioned Nonlinear Conjugate Gradient Methods
- Quasi-Newton Methods and their Application to Function Minimisation
- An analysis of the quasicontinuum method
- Generalized least-squares polynomial preconditioners for symmetric indefinite linear equations
