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

H. Ohno, Y. Kuramashi, T. Sakurai, H. Tadano
2010 arXiv   pre-print
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.  ...  This work is supported in part by Grants-in-Aid for Scientific Research from the Ministry of Education, Culture, Sports, Science and Technology (Nos. 18540250, 20105002, 21105502 and 21246018).  ... 
arXiv:1004.0292v2 fatcat:5pls6bhjpbatzh6gts4mq3ttgy

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

Hiroshi Ohno, Yoshinobu Kuramashi, Tetsuya Sakurai, Hiroto Tadano
2010 JSIAM Letters  
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.  ...  This work is supported in part by Grants-in-Aid for Scientific Research from the Ministry of Education, Culture, Sports, Science and Technology (Nos. 18540250, 20105002, 21105502 and 21246018).  ... 
doi:10.14495/jsiaml.2.115 fatcat:xttd6a3rdfhsnkptd5rcsmvno4

Algorithms For Large Scale Problems In Eigenvalue And Svd Computations And In Big Data Applications

Lingfei Wu
2016
Furthermore, we develop a high-performance preconditioned SVD software based on the proposed method on top of the state-of-the-art eigensolver PRIMME.  ...  Our method may serve as a standalone kernel for providing a fast trace estimate or as a variance reduction method for Monte Carlo in some cases.  ...  with SVD on a large QCD matrix.  ... 
doi:10.21220/s2s880 fatcat:dji4if7if5gfre3c3q3dadpyw4