Name
Abstract | ||
|---|---|---|
This study is mainly focused on iterative solutions to shifted linear systems arising from a Quantum Chromo dynamics (QCD) problem. For solving such systems efficiently, we explore a new shifted QMRCGstab (SQMRCGstab) method, which is derived by extending the quasi-minimum residual to the shifted BiCGstab. The shifted QMRCGstab method takes advantage of the shifted invariant property, so that it could handle multiple shifts simultaneously using only as many matrix-vector multiplications as the solution of a single system required. Moreover, the SQMRCGstab achieves a smoothing of the residual compared to the shifted BiCGstab, and the SQMRCGstab is more competitive than the MS-QMRIDR(s) and the shifted BiCGstab on the QCD problem. Numerical examples show the efficiency of the method when one applies it to the real problems. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1109/CIS.2013.64 | CIS |
Keywords | Field | DocType |
iterative solutions,qcd problem,matrix multiplication,shifted bicgstab,qcd,iterative solution,sqmrcgstab method,shifted linear systems,qmrcgstab algorithm,quasiminimum residual,invariant property,shifted invariant property,quantum chromodynamics problem,real problem,complex non-hermitian matrix,linear system,matrix-vector multiplication,residual smoothing,multiple shift,linear systems,qmrcgstab method,sqmrcgstab,minimisation,krylov subspace methods,shifted qmrcgstab method,numerical example,matrix-vector multiplications,quantum chromo dynamic,iterative methods,vectors | Residual,Mathematical optimization,Linear system,Biconjugate gradient stabilized method,Iterative method,Algorithm,Smoothing,Minimisation (psychology),Invariant (mathematics),Matrix multiplication,Mathematics | Conference |
ISBN | Citations | PageRank |
978-1-4799-2548-3 | 0 | 0.34 |
References | Authors | |
3 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jing Meng | 1 | 9 | 1.61 |
| Peiyong Zhu | 2 | 59 | 8.68 |
| Hou-Biao Li | 3 | 74 | 10.78 |