Bootstrapped block Lanczos for large-dimension eigenvalue problems

Zbikowski, Ryan M.; Johnson, Calvin W.

doi:10.1016/j.cpc.2023.108835

Title: Bootstrapped block Lanczos for large-dimension eigenvalue problems

Journal Article · 30 September 2023 · Computer Physics Communications

DOI: https://doi.org/10.1016/j.cpc.2023.108835 · OSTI ID:1989397

; Johnson, Calvin W.

Not Available

View Journal Article

Cite

Export

Save

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: FG02-03ER41272

OSTI ID:: 1989397

Journal Information:: Computer Physics Communications, Journal Name: Computer Physics Communications Journal Issue: C Vol. 291; ISSN 0010-4655

Publisher:: ElsevierCopyright Statement

Country of Publication:: Netherlands

Language:: English

References (20)

Status of the Nuclear Shell Model Brown, B. A.; Wildenthal, B. H. Annual Review of Nuclear and Particle Science, Vol. 38, Issue 1 https://doi.org/10.1146/annurev.ns.38.120188.000333	journal	December 1988
Efficacy of the SU(3) scheme for ab initio large-scale calculations beyond the lightest nuclei Dytrych, T.; Maris, P.; Launey, K. D. Computer Physics Communications, Vol. 207 https://doi.org/10.1016/j.cpc.2016.06.006	journal	October 2016
Factorization in large-scale many-body calculations Johnson, Calvin W.; Ormand, W. Erich; Krastev, Plamen G. Computer Physics Communications, Vol. 184, Issue 12 https://doi.org/10.1016/j.cpc.2013.07.022	journal	December 2013
The history and evolution of configuration interaction Shavitt, Isaiah Molecular Physics, Vol. 94, Issue 1 https://doi.org/10.1080/002689798168303	journal	May 1998
Thick-restart block Lanczos method for large-scale shell-model calculations Shimizu, Noritaka; Mizusaki, Takahiro; Utsuno, Yutaka Computer Physics Communications, Vol. 244 https://doi.org/10.1016/j.cpc.2019.06.011	journal	November 2019
Recent developments in no-core shell-model calculations Navrátil, Petr; Quaglioni, Sofia; Stetcu, Ionel Journal of Physics G: Nuclear and Particle Physics, Vol. 36, Issue 8 https://doi.org/10.1088/0954-3899/36/8/083101	journal	May 2009
Thick-Restart Lanczos Method for Large Symmetric Eigenvalue Problems Wu, Kesheng; Simon, Horst SIAM Journal on Matrix Analysis and Applications, Vol. 22, Issue 2 https://doi.org/10.1137/S0895479898334605	journal	January 2000
Accelerating nuclear configuration interaction calculations through a preconditioned block iterative eigensolver Shao, Meiyue; Aktulga, H. Metin; Yang, Chao Computer Physics Communications, Vol. 222 https://doi.org/10.1016/j.cpc.2017.09.004	journal	January 2018
A greedy algorithm for computing eigenvalues of a symmetric matrix with localized eigenvectors Hernandez, Taylor M.; Van Beeumen, Roel; Caprio, Mark A. Numerical Linear Algebra with Applications, Vol. 28, Issue 2 https://doi.org/10.1002/nla.2341	journal	October 2020
Toward the Optimal Preconditioned Eigensolver: Locally Optimal Block Preconditioned Conjugate Gradient Method Knyazev, Andrew V. SIAM Journal on Scientific Computing, Vol. 23, Issue 2 https://doi.org/10.1137/S1064827500366124	journal	January 2001
The shell model as a unified view of nuclear structure Caurier, E.; Martínez-Pinedo, G.; Nowacki, F. Reviews of Modern Physics, Vol. 77, Issue 2 https://doi.org/10.1103/RevModPhys.77.427	journal	June 2005
Shell-model description of neutron-rich pf-shell nuclei with a new effective interaction GXPF 1 Honma, M.; Otsuka, T.; Brown, B. A. The European Physical Journal A, Vol. 25, Issue S1 https://doi.org/10.1140/epjad/i2005-06-032-2	journal	April 2005
A High Performance Block Eigensolver for Nuclear Configuration Interaction Calculations Aktulga, Hasan Metin; Afibuzzaman, Md.; Williams, Samuel IEEE Transactions on Parallel and Distributed Systems, Vol. 28, Issue 6 https://doi.org/10.1109/TPDS.2016.2630699	journal	June 2017
On the Rates of Convergence of the Lanczos and the Block-Lanczos Methods Saad, Y. SIAM Journal on Numerical Analysis, Vol. 17, Issue 5 https://doi.org/10.1137/0717059	journal	October 1980
On the Lanczos method and the method of moments Whitehead, R. R.; Watt, A. Journal of Physics G: Nuclear Physics, Vol. 4, Issue 6 https://doi.org/10.1088/0305-4616/4/6/013	journal	June 1978
Large-basis *ab initio* no-core shell model and its application to 12 C Navrátil, P.; Vary, J. P.; Barrett, B. R. Physical Review C, Vol. 62, Issue 5 https://doi.org/10.1103/PhysRevC.62.054311	journal	October 2000
Large-scale exact diagonalizations reveal low-momentum scales of nuclei Forssén, C.; Carlsson, B. D.; Johansson, H. T. Physical Review C, Vol. 97, Issue 3 https://doi.org/10.1103/PhysRevC.97.034328	journal	March 2018
Ab initio no core shell model Barrett, Bruce R.; Navrátil, Petr; Vary, James P. Progress in Particle and Nuclear Physics, Vol. 69 https://doi.org/10.1016/j.ppnp.2012.10.003	journal	March 2013
Matrix Computations Golub, Gene H.; Van Loan, Charles F. https://doi.org/10.56021/9781421407944	book	February 2013
Chiral effective field theory and nuclear forces Machleidt, R.; Entem, D. R. Physics Reports, Vol. 503, Issue 1 https://doi.org/10.1016/j.physrep.2011.02.001	journal	June 2011

Similar Records

TRPL+K: Thick-Restart Preconditioned Lanczos+K Method for Large Symmetric Eigenvalue Problems

Journal Article · 2019 · SIAM Journal on Scientific Computing · OSTI ID:1611078

Wu, Lingfei; Xue, Fei; Stathopoulos, Andreas

Algorithms for sparse matrix eigenvalue problems. [DBLKLN, block Lanczos algorithm with local reorthogonalization strategy]

Technical Report · 1977 · OSTI ID:7254102

Lewis, J G

Block Lanczos software for symmetric eigenvalue problems. [SNLASO, DNLASO, SILASO, DILASO, in FORTRAN IV]

Technical Report · 1979 · OSTI ID:5724868

Scott, D S

Title: Bootstrapped block Lanczos for large-dimension eigenvalue problems

Citation Formats

References (20)

Similar Records

Related Subjects