A quadrature-based eigensolver with a Krylov subspace method for shifted linear systems for Hermitian eigenproblems in lattice QCD
スポンサーリンク
概要
- 論文の詳細を見る
We consider a quadrature-based eigensolver to find eigenpairs of Hermitian matrices arising in lattice quantum chromodynamics. To reduce the computational cost for finding eigenpairs of such Hermitian matrices, we propose a new technique for solving shifted linear systems with complex shifts by means of the shifted CG method. Furthermore, by using integration paths along horizontal lines corresponding to the real axis of the complex plane, the number of iterations for the shifted CG method is also reduced. Some numerical experiments illustrate the accuracy and efficiency of the proposed method by comparison with a conventional method.
著者
-
OHNO Hiroshi
Graduate School of Pure and Applied Sciences, University of Tsukuba
-
Tadano Hiroto
Graduate School of Systems and Information Engineering, University of Tsukuba
-
Sakurai Tetsuya
Graduate School of Systems and Information Engineering, University of Tsukuba
-
Kuramashi Yoshinobu
Graduate School of Pure and Applied Sciences, University of Tsukuba
関連論文
- A quadrature-based eigensolver with a Krylov subspace method for shifted linear systems for Hermitian eigenproblems in lattice QCD
- Parallel stochastic estimation method of eigenvalue distribution
- Application of Fixed Scale Approach to Static Quark Free Energies in Quenched and 2+1 Flavor Lattice QCD with Improved Wilson Quark Action(Nuclear Physics)
- Block BiCGGR: a new Block Krylov subspace method for computing high accuracy solutions
- A block sparse approximate inverse with cutoff preconditioner for semi-sparse linear systems derived from Molecular Orbital calculations
- A convergence improvement of the BSAIC preconditioner by deflation
- Application of Fixed Scale Approach to Static Quark Free Energies in Quenched and 2+1 Flavor Lattice QCD with Improved Wilson Quark Action