Parallel eigensolvers in plane-wave Density Functional Theory
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[1] Kresse,et al. Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. , 1996, Physical review. B, Condensed matter.
[2] Franccois Bottin,et al. Large scale ab initio calculations based on three levels of parallelization , 2007, 0707.3405.
[3] Richard B. Lehoucq,et al. Basis selection in LOBPCG , 2006, J. Comput. Phys..
[4] Stefano de Gironcoli,et al. QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials , 2009, Journal of physics. Condensed matter : an Institute of Physics journal.
[5] Constantine Bekas,et al. Computing charge densities with partially reorthogonalized Lanczos , 2005, Comput. Phys. Commun..
[6] Robert A. van de Geijn,et al. Elemental: A New Framework for Distributed Memory Dense Matrix Computations , 2013, TOMS.
[8] Eric Polizzi,et al. Density-Matrix-Based Algorithms for Solving Eingenvalue Problems , 2009 .
[9] P. Hohenberg,et al. Inhomogeneous Electron Gas , 1964 .
[10] John B. Shoven,et al. I , Edinburgh Medical and Surgical Journal.
[11] Yousef Saad,et al. A spectrum slicing method for the Kohn-Sham problem , 2012, Comput. Phys. Commun..
[12] Blöchl,et al. Projector augmented-wave method. , 1994, Physical review. B, Condensed matter.
[13] Lukas Krämer,et al. Parallel solution of partial symmetric eigenvalue problems from electronic structure calculations , 2011, Parallel Comput..
[14] Jack Dongarra,et al. ScaLAPACK: a scalable linear algebra library for distributed memory concurrent computers , 1992, [Proceedings 1992] The Fourth Symposium on the Frontiers of Massively Parallel Computation.
[15] D. Sorensen. Numerical methods for large eigenvalue problems , 2002, Acta Numerica.
[16] M. Segall,et al. Electron and vibrational spectroscopies using DFT, plane waves and pseudopotentials: CASTEP implementation , 2010 .
[17] Franz Franchetti,et al. Large-scale electronic structure calculations of high-Z metals on the BlueGene/L platform , 2006, SC.
[18] Y. Saad,et al. Parallel self-consistent-field calculations via Chebyshev-filtered subspace acceleration. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.
[19] Richard D. James,et al. A spectral scheme for Kohn-Sham density functional theory of clusters , 2014, J. Comput. Phys..
[20] T. Sakurai,et al. A projection method for generalized eigenvalue problems using numerical integration , 2003 .
[21] W. Kohn,et al. Self-Consistent Equations Including Exchange and Correlation Effects , 1965 .
[22] H. Rutishauser. Simultaneous iteration method for symmetric matrices , 1970 .
[23] Eric Polizzi,et al. A Density Matrix-based Algorithm for Solving Eigenvalue Problems , 2009, ArXiv.
[24] P. J. Hasnip,et al. Electronic energy minimisation with ultrasoft pseudopotentials , 2006, Comput. Phys. Commun..
[25] Xavier Gonze,et al. Implementation of the projector augmented-wave method in the ABINIT code: Application to the study of iron under pressure , 2008 .
[26] Taisuke Boku,et al. A massively-parallel electronic-structure calculations based on real-space density functional theory , 2010, J. Comput. Phys..
[27] Edoardo Di Napoli,et al. An Optimized and Scalable Iterative Eigensolver for Sequences of Dense Eigenvalue Problems , 2014 .
[28] Edoardo Di Napoli,et al. An optimized and scalable eigensolver for sequences of eigenvalue problems , 2015, Concurr. Comput. Pract. Exp..
[29] Stefan Goedecker,et al. ABINIT: First-principles approach to material and nanosystem properties , 2009, Comput. Phys. Commun..
[30] E. Davidson. The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices , 1975 .
[31] Andrew V. Knyazev,et al. Toward the Optimal Preconditioned Eigensolver: Locally Optimal Block Preconditioned Conjugate Gradient Method , 2001, SIAM J. Sci. Comput..
[32] Yousef Saad,et al. Self-consistent-field calculations using Chebyshev-filtered subspace iteration , 2006, J. Comput. Phys..
[33] T. Arias,et al. Iterative minimization techniques for ab initio total energy calculations: molecular dynamics and co , 1992 .