Improved Scaling for Quantum Monte Carlo on Insulators

DOI10.1137/100805467zbMath1230.65044arXiv1008.5113OpenAlexW1984779880MaRDI QIDQ3103545

David M. Ceperley, Jeongnim Kim, Kapil Ahuja, Eric De Sturler, Bryan K. Clark

Publication date: 7 December 2011

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.5113

zbMATH Keywords

numerical examplespreconditioningscalingKrylov subspace methodsquantum Monte Carloincomplete LU decompositionvariational Monte Carlosequence of linear systemsupdating preconditionersinsulatorsreordering strategymany body quantum systemsSlater matrices

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Many-body theory; quantum Hall effect (81V70) Preconditioners for iterative methods (65F08)

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Probing for the Trace Estimation of a Permuted Matrix Inverse Corresponding to a Lattice Displacement, Preconditioning Parametrized Linear Systems, Preconditioned linear solves for parametric model order reduction

Uses Software

• DataSpork
• QMCPACK