A Conjugate Gradient Method for Electronic Structure Calculations
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Publication:4595782
DOI10.1137/16M1072929zbMath1378.65120arXiv1601.07676OpenAlexW2963898876MaRDI QIDQ4595782
Aihui Zhou, Xiaoying Dai, Zhuang Liu, Li-wei Zhang
Publication date: 6 December 2017
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1601.07676
optimizationalgorithmnumerical experimentsconjugate gradient methoddensity functional theoryground state energyelectronic structuremolecular systems
Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Molecular physics (81V55)
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Cites Work
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- A feasible method for optimization with orthogonality constraints
- A projected preconditioned conjugate gradient algorithm for computing many extreme eigenpairs of a Hermitian matrix
- A framework of constraint preserving update schemes for optimization on Stiefel manifold
- A majorization algorithm for constrained correlation matrix approximation
- QAPLIB - a quadratic assignment problem library
- Riemannian geometry of Grassmann manifolds with a view on algorithmic computation
- Trace-penalty minimization for large-scale eigenspace computation
- Positivity of the spherically averaged atomic one-electron density
- Adaptive Regularized Self-Consistent Field Iteration with Exact Hessian for Electronic Structure Calculation
- Gradient Type Optimization Methods For Electronic Structure Calculations
- On the Convergence of the Self-Consistent Field Iteration in Kohn--Sham Density Functional Theory
- A Trust Region Direct Constrained Minimization Algorithm for the Kohn–Sham Equation
- Direct minimization for calculating invariant subspaces in density functional computations of the electronic structure
- On the Convergence of the Self-Consistent Field Iteration for a Class of Nonlinear Eigenvalue Problems
- Restart procedures for the conjugate gradient method
- The Geometry of Algorithms with Orthogonality Constraints
- Optimization Techniques on Riemannian Manifolds
- Alternate step gradient method*
- A Nonlinear Conjugate Gradient Method with a Strong Global Convergence Property
- Numerical Methods for Electronic Structure Calculations of Materials
- On the Analysis of the Discretized Kohn--Sham Density Functional Theory
- A Proximal Gradient Method for Ensemble Density Functional Theory
- Electronic Structure