Communication Avoiding Neumann Expansion Preconditioner for LOBPCG Method: Convergence Property of Exact Diagonalization Method for Hubbard Model

نویسندگان

  • Susumu Yamada
  • Toshiyuki Imamura
  • Masahiko Machida
چکیده

Application of Eisenstat-SSOR Preconditioner to Realistic Stress Analysis Problem by Parallel Cache-Cache Computing Kuniyoshi Abe1, Seiji Fujino2 1Faculty of Economics and Information, Gifu Shotoku University, Japan; 2Professor Emeritus, Kyushu University, Japan Communication avoiding Neumann expansion preconditioner for LOBPCG method: Convergence property of exact diagonalization method for Hubbard model Susumu Yamada1, Toshiyuki Imamura2, Masahiko Machida1 1Japan Atomic Energy Agency, Japan; 2RIKEN, Japan 11:30 12:30 B1: Parallel Systems for Physics and Simulations 1

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Ultra Large-scale Exact-diagonalization for Confined Fermion-Hubbard Model on the Earth Simulator : Exploration of Superfluidity in Confined Strongly-Correlated Systems

In order to explore a possibility of superfluidity in confined strongly-correlated fermion systems, e.g., nano-scale cuprate High-Tc superconductors and atomic Fermi gases loaded on optical lattice, we implement an exact diagonalization code for their mathematical model, i.e., a trapped Hubbard model on the Earth Simulator. We compare two diagonalization algorithms, the traditional Lanczos meth...

متن کامل

Comparison of Calculations for the Hubbard model obtained with Quantum-Monte-Carlo, exact and stochastic Diagonalization

In this paper we compare numerical results for the ground state of the Hubbard model obtained by Quantum-Monte-Carlo simulations with results from exact and stochastic diagonalizations. We find good agreement for the ground state energy and superconducting correlations for both, the repulsive and attractive Hubbard model. Special emphasis lies on the superconducting correlations in the repulsiv...

متن کامل

Application of the Sd Technique for Solving a Bcs-reduced Hubbard like Hamiltonian

We present exact and stochastic diagonalization results for a BCS-reduced Hubbard model. The kinetic Hamiltonian is the same as in the single band Hubbard model with additional next nearest neighbor hopping. The interaction of this model is designed to inhibit superconductivity in the dx2−y2 channel. The ground state of this model is studied by exact and stochastic diagonalization technique. We...

متن کامل

مقدمه‌ای بر مدل هابارد و قطری‌سازی دقیق

 Hubbard model is an important model in the theory of strongly correlated electron systems. In this contribution we introduce this model and the concepts of electron correlation by building on a tight binding model. After enumerating various methods of tackling the Hubbard model, we introduce the numerical method of exact diagonalization in detail. The book keeping and practical implementation ...

متن کامل

Nonsymmetric Preconditioning for Conjugate Gradient and Steepest Descent Methods1

We numerically analyze the possibility of turning off postsmoothing (relaxation) in geometric multigrid when used as a preconditioner in conjugate gradient linear and eigenvalue solvers for the 3D Laplacian. The geometric Semicoarsening Multigrid (SMG) method is provided by the hypre parallel software package. We solve linear systems using two variants (standard and flexible) of the preconditio...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2017