A quadrature-based eigensolver with a Krylov subspace method for shifted linear systems for Hermitian eigenproblems in lattice QCD

DOI10.14495/jsiaml.2.115zbMath1271.65066arXiv1004.0292OpenAlexW2086912715MaRDI QIDQ2843152

Hiroshi Ohno, Yoshinobu Kuramashi, Hiroto Tadano, Tetsuya Sakurai

Publication date: 9 August 2013

Published in: JSIAM Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.0292

zbMATH Keywords

eigenvalue problemnumerical experimentsHermitian matrixlattice QCDquadrature methodshifted linear systemsquantum chromodynamics (QCD)shifted conjugate gradient method

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Hermitian, skew-Hermitian, and related matrices (15B57) Iterative numerical methods for linear systems (65F10) Strong interaction, including quantum chromodynamics (81V05)

Related Items (4)

Designing rational filter functions for solving eigenvalue problems by contour integration ⋮ Periodic band structure calculation by the Sakurai-Sugiura method with a fast direct solver for the boundary element method with the fast multipole representation ⋮ Nonlinear eigenvalue problems and contour integrals ⋮ Computing Partial Spectra with Least-Squares Rational Filters

Uses Software

• CIRR

This page was built for publication: A quadrature-based eigensolver with a Krylov subspace method for shifted linear systems for Hermitian eigenproblems in lattice QCD