Application of block Krylov subspace algorithms to the WilsonDirac equation with multiple right-hand sides in lattice QCD
It is well known that the block Krylov subspace solvers work efficiently for some cases of the solution of differential equations with multiple right-hand sides. In lattice QCD calculation of physical quantities on a given configuration demands us to solve the Dirac equation with multiple sources. We show that a new block Krylov subspace algorithm recently proposed by the authors reduces the computational cost significantly without losing numerical accuracy for the solution of the O(a) O ( a ) -improved WilsonDirac equation.
block krylov subspace multiple right-hand sides lattice gauge theory lattice dirac equation