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Schur complement solver for Quantum Monte-Carlo simulations of strongly interacting fermions

Ulybyshev, Maksim ; Kintscher, Nils ; Kahl, Karsten ; Buividovich, Pavel



Abstract

We present a non-iterative solver based on the Schur complement method for sparse linear systems of special form which appear in Quantum Monte-Carlo (QMC) simulations of strongly interacting fermions on the lattice. While the number of floating-point operations for this solver scales as the cube of the number of lattice sites, for practically relevant lattice sizes it is still significantly ...

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