Lanczos algorithm (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Lanczos algorithm" in English language version.

Last modified: 19:03:13, 22 August 2026 (UTC)

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adsabs.harvard.edu (Global: 14^th place; English: 9^th place)

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Ojalvo, I. U.; Newman, M. (1970). "Vibration modes of large structures by an automatic matrix-reduction method". AIAA Journal. 8 (7): 1234–1239. Bibcode:1970AIAAJ...8.1234N. doi:10.2514/3.5878.
Chen, HY; Atkinson, W.A.; Wortis, R. (July 2011). "Disorder-induced zero-bias anomaly in the Anderson-Hubbard model: Numerical and analytical calculations". Physical Review B. 84 (4) 045113. arXiv:1012.1031. Bibcode:2011PhRvB..84d5113C. doi:10.1103/PhysRevB.84.045113. S2CID 118722138.

arxiv.org (Global: 49^th place; English: 31^st place)

Chen, HY; Atkinson, W.A.; Wortis, R. (July 2011). "Disorder-induced zero-bias anomaly in the Anderson-Hubbard model: Numerical and analytical calculations". Physical Review B. 84 (4) 045113. arXiv:1012.1031. Bibcode:2011PhRvB..84d5113C. doi:10.1103/PhysRevB.84.045113. S2CID 118722138.
Shimizu, Noritaka (21 October 2013). "Nuclear shell-model code for massive parallel computation, "KSHELL"". arXiv:1310.5431 [nucl-th].

cmu.edu (Global: 2,125^th place; English: 1,347^th place)

graphlab.ml.cmu.edu

GraphLab Archived 2011-03-14 at the Wayback Machine

doi.org (Global: 2^nd place; English: 2^nd place)

Lanczos, C. (1950). "An iteration method for the solution of the eigenvalue problem of linear differential and integral operators" (PDF). Journal of Research of the National Bureau of Standards. 45 (4): 255–282. doi:10.6028/jres.045.026.
Ojalvo, I. U.; Newman, M. (1970). "Vibration modes of large structures by an automatic matrix-reduction method". AIAA Journal. 8 (7): 1234–1239. Bibcode:1970AIAAJ...8.1234N. doi:10.2514/3.5878.
Paige, C. C. (1972). "Computational Variants of the Lanczos Method for the Eigenproblem". J. Inst. Maths Applics. 10 (3): 373–381. doi:10.1093/imamat/10.3.373.
Coakley, Ed S.; Rokhlin, Vladimir (2013). "A fast divide-and-conquer algorithm for computing the spectra of real symmetric tridiagonal matrices". Applied and Computational Harmonic Analysis. 34 (3): 379–414. doi:10.1016/j.acha.2012.06.003.
R. B. Lehoucq; D. C. Sorensen; C. Yang (1998). ARPACK Users Guide: Solution of Large-Scale Eigenvalue Problems with Implicitly Restarted Arnoldi Methods. SIAM. doi:10.1137/1.9780898719628. ISBN 978-0-89871-407-4.
E. Kokiopoulou; C. Bekas; E. Gallopoulos (2004). "Computing smallest singular triplets with implicitly restarted Lanczos bidiagonalization" (PDF). Appl. Numer. Math. 49: 39–61. doi:10.1016/j.apnum.2003.11.011.
Kesheng Wu; Horst Simon (2000). "Thick-Restart Lanczos Method for Large Symmetric Eigenvalue Problems". SIAM Journal on Matrix Analysis and Applications. 22 (2). SIAM: 602–616. doi:10.1137/S0895479898334605.
Chen, HY; Atkinson, W.A.; Wortis, R. (July 2011). "Disorder-induced zero-bias anomaly in the Anderson-Hubbard model: Numerical and analytical calculations". Physical Review B. 84 (4) 045113. arXiv:1012.1031. Bibcode:2011PhRvB..84d5113C. doi:10.1103/PhysRevB.84.045113. S2CID 118722138.

epfl.ch (Global: 3,783^rd place; English: 3,769^th place)

infoscience.epfl.ch

E. Kokiopoulou; C. Bekas; E. Gallopoulos (2004). "Computing smallest singular triplets with implicitly restarted Lanczos bidiagonalization" (PDF). Appl. Numer. Math. 49: 39–61. doi:10.1016/j.apnum.2003.11.011.

kent.edu (Global: low place; English: 6,267^th place)

etna.mcs.kent.edu

D. Calvetti; L. Reichel; D.C. Sorensen (1994). "An Implicitly Restarted Lanczos Method for Large Symmetric Eigenvalue Problems". Electronic Transactions on Numerical Analysis. 2: 1–21.

lbl.gov (Global: 3,154^th place; English: 3,216^th place)

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Kesheng Wu; Horst Simon (2001). "TRLan software package". Archived from the original on 2007-07-01. Retrieved 2007-06-30.

nag.co.uk (Global: low place; English: low place)

The Numerical Algorithms Group. "Keyword Index: Lanczos". NAG Library Manual, Mark 23. Retrieved 2012-02-09.

semanticscholar.org (Global: 15^th place; English: 8^th place)

api.semanticscholar.org

Chen, HY; Atkinson, W.A.; Wortis, R. (July 2011). "Disorder-induced zero-bias anomaly in the Anderson-Hubbard model: Numerical and analytical calculations". Physical Review B. 84 (4) 045113. arXiv:1012.1031. Bibcode:2011PhRvB..84d5113C. doi:10.1103/PhysRevB.84.045113. S2CID 118722138.

umd.edu (Global: 1,356^th place; English: 1,172^nd place)

cs.umd.edu

Lanczos, C. (1950). "An iteration method for the solution of the eigenvalue problem of linear differential and integral operators" (PDF). Journal of Research of the National Bureau of Standards. 45 (4): 255–282. doi:10.6028/jres.045.026.

umn.edu (Global: 1,293^rd place; English: 776^th place)

www-users.cs.umn.edu

Yousef Saad (1992-06-22). Numerical Methods for Large Eigenvalue Problems. Wiley. ISBN 0-470-21820-7.

web.archive.org (Global: 1^st place; English: 1^st place)

Kesheng Wu; Horst Simon (2001). "TRLan software package". Archived from the original on 2007-07-01. Retrieved 2007-06-30.
GraphLab Archived 2011-03-14 at the Wayback Machine

worldcat.org (Global: 4^th place; English: 4^th place)

search.worldcat.org

Paige, C. C. (1971). The computation of eigenvalues and eigenvectors of very large sparse matrices (Ph.D. thesis). U. of London. OCLC 654214109.

zenodo.org (Global: 737^th place; English: 426^th place)

Kesheng Wu; Horst Simon (2000). "Thick-Restart Lanczos Method for Large Symmetric Eigenvalue Problems". SIAM Journal on Matrix Analysis and Applications. 22 (2). SIAM: 602–616. doi:10.1137/S0895479898334605.

Lanczos algorithm (English Wikipedia)

adsabs.harvard.edu (Global: 14th place; English: 9th place)

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arxiv.org (Global: 49th place; English: 31st place)

cmu.edu (Global: 2,125th place; English: 1,347th place)

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doi.org (Global: 2nd place; English: 2nd place)

epfl.ch (Global: 3,783rd place; English: 3,769th place)