Approximate Green’s Function Coupled Cluster Method Employing Effective Dimension Reduction
Abstract
The Green's function coupled cluster (GFCC) method is a powerful manybody tool for computing the electronic structure of molecular and periodic systems, especially when electrons of the system are strongly correlated. However, for the GFCC to be routinely used in the electronic structure calculations, robust numerical techniques and approximations must be employed to reduce its high computational overhead. In our recent studies, we demonstrated that the GFCC equations can be solved directly in the frequency domain using iterative linear solvers, which can be easily distributed in a massively parallel environment. In the present work, we demonstrate a successful application of modelorderreduction (MOR) techniques in the GFCC framework. Briefly, for a frequency regime which requires high resolution spectral function, instead of solving GFCC linear equation of full dimension for every single frequency point, an efficientlysolvable linear system model of a reduced dimension may be built upon projecting the original GFCC linear system onto a subspace. From this reduced order model is obtained a reasonable approximation to the full dimensional GFCC linear equations in both interpolative and extrapolative spectral regions. Furthermore, we show that the subspace can be properly constructed in an iterative manner from the auxiliary vectors of the GFCC linearmore »
 Authors:

 Pacific Northwest National Lab. (PNNL), Richland, WA (United States)
 Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
 Publication Date:
 Research Org.:
 Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), Basic Energy Sciences (BES)
 OSTI Identifier:
 1498694
 Grant/Contract Number:
 AC0205CH11231
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Journal of Chemical Theory and Computation
 Additional Journal Information:
 Journal Volume: 15; Journal Issue: 5; Journal ID: ISSN 15499618
 Publisher:
 American Chemical Society
 Country of Publication:
 United States
 Language:
 English
 Subject:
 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY
Citation Formats
Peng, Bo, Van Beeumen, Roel, WilliamsYoung, David B., Kowalski, Karol, and Yang, Chao. Approximate Green’s Function Coupled Cluster Method Employing Effective Dimension Reduction. United States: N. p., 2019.
Web. doi:10.1021/acs.jctc.9b00172.
Peng, Bo, Van Beeumen, Roel, WilliamsYoung, David B., Kowalski, Karol, & Yang, Chao. Approximate Green’s Function Coupled Cluster Method Employing Effective Dimension Reduction. United States. doi:https://doi.org/10.1021/acs.jctc.9b00172
Peng, Bo, Van Beeumen, Roel, WilliamsYoung, David B., Kowalski, Karol, and Yang, Chao. Fri .
"Approximate Green’s Function Coupled Cluster Method Employing Effective Dimension Reduction". United States. doi:https://doi.org/10.1021/acs.jctc.9b00172. https://www.osti.gov/servlets/purl/1498694.
@article{osti_1498694,
title = {Approximate Green’s Function Coupled Cluster Method Employing Effective Dimension Reduction},
author = {Peng, Bo and Van Beeumen, Roel and WilliamsYoung, David B. and Kowalski, Karol and Yang, Chao},
abstractNote = {The Green's function coupled cluster (GFCC) method is a powerful manybody tool for computing the electronic structure of molecular and periodic systems, especially when electrons of the system are strongly correlated. However, for the GFCC to be routinely used in the electronic structure calculations, robust numerical techniques and approximations must be employed to reduce its high computational overhead. In our recent studies, we demonstrated that the GFCC equations can be solved directly in the frequency domain using iterative linear solvers, which can be easily distributed in a massively parallel environment. In the present work, we demonstrate a successful application of modelorderreduction (MOR) techniques in the GFCC framework. Briefly, for a frequency regime which requires high resolution spectral function, instead of solving GFCC linear equation of full dimension for every single frequency point, an efficientlysolvable linear system model of a reduced dimension may be built upon projecting the original GFCC linear system onto a subspace. From this reduced order model is obtained a reasonable approximation to the full dimensional GFCC linear equations in both interpolative and extrapolative spectral regions. Furthermore, we show that the subspace can be properly constructed in an iterative manner from the auxiliary vectors of the GFCC linear equations at some selected frequencies within the spectral region of interest. During the iterations, the quality of the subspace and the linear system model can be systematically improved. The method is tested in terms of the efficiency and accuracy of computing spectral functions for some typical molecular systems such as carbon monoxide, 1,3butadiene, benzene, and adenine. As a byproduct, the obtained reduced order model may provide a high quality initial guess which improves the convergence rate for the existing iterative linear solver.},
doi = {10.1021/acs.jctc.9b00172},
journal = {Journal of Chemical Theory and Computation},
number = 5,
volume = 15,
place = {United States},
year = {2019},
month = {4}
}
Web of Science
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