Eigenvalue algorithm (English Wikipedia)

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

Last modified: 15:21:20, 30 March 2026 (UTC)

Ref.Un. Ref.Website

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1414doi.org

2^nd place

66semanticscholar.org

15^th place

8^th place

31archive.org

6^th place

22arxiv.org

49^th place

31^st place

11web.archive.org

1^st place

11jstor.org

23^rd place

15^th place

11axler.net

low place

11ncsu.edu

2,653^rd place

1,525^th place

11utexas.edu

868^th place

634^th place

11mlr.press

low place

archive.org (Global: 6^th place; English: 6^th place)

Press, William H.; Teukolsky, Saul A.; Vetterling, William T.; Flannery, Brian P. (1992). Numerical Recipes in C (2nd ed.). Cambridge University Press. ISBN 978-0-521-43108-8.

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

Forrester PJ, Zhang J (2021). "Corank-1 projections and the randomised Horn problem". Tunisian Journal of Mathematics. 3: 55–73. arXiv:1905.05314. doi:10.2140/tunis.2021.3.55. S2CID 153312446.
Denton PB, Parke SJ, Tao T, Zhang X (2021). "Eigenvectors from eigenvalues: A survey of a basic identity in linear algebra". Bulletin of the American Mathematical Society. 59: 1. arXiv:1908.03795. doi:10.1090/bull/1722. S2CID 213918682.

axler.net (Global: low place; English: low place)

Axler, Sheldon (1995), "Down with Determinants!" (PDF), American Mathematical Monthly, 102 (2): 139–154, doi:10.2307/2975348, JSTOR 2975348, archived from the original (PDF) on 2012-09-13, retrieved 2012-07-31

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

Axler, Sheldon (1995), "Down with Determinants!" (PDF), American Mathematical Monthly, 102 (2): 139–154, doi:10.2307/2975348, JSTOR 2975348, archived from the original (PDF) on 2012-09-13, retrieved 2012-07-31
F. L. Bauer; C. T. Fike (1960), "Norms and exclusion theorems", Numer. Math., 2: 137–141, doi:10.1007/bf01386217, S2CID 121278235
S.C. Eisenstat; I.C.F. Ipsen (1998), "Relative Perturbation Results for Eigenvalues and Eigenvectors of Diagonalisable Matrices", BIT, 38 (3): 502–9, doi:10.1007/bf02510256, S2CID 119886389
J. Dongarra and F. Sullivan (2000). "Top ten algorithms of the century". Computing in Science and Engineering. 2: 22-23. doi:10.1109/MCISE.2000.814652.
Thompson, R. C. (June 1966). "Principal submatrices of normal and Hermitian matrices". Illinois Journal of Mathematics. 10 (2): 296–308. doi:10.1215/ijm/1256055111.
Peter Nylen; Tin-Yau Tam; Frank Uhlig (1993). "On the eigenvalues of principal submatrices of normal, hermitian and symmetric matrices". Linear and Multilinear Algebra. 36 (1): 69–78. doi:10.1080/03081089308818276.
Bebiano N, Furtado S, da Providência J (2011). "On the eigenvalues of principal submatrices of J-normal matrices". Linear Algebra and Its Applications. 435 (12): 3101–3114. doi:10.1016/j.laa.2011.05.033.
Forrester PJ, Zhang J (2021). "Corank-1 projections and the randomised Horn problem". Tunisian Journal of Mathematics. 3: 55–73. arXiv:1905.05314. doi:10.2140/tunis.2021.3.55. S2CID 153312446.
Denton PB, Parke SJ, Tao T, Zhang X (2021). "Eigenvectors from eigenvalues: A survey of a basic identity in linear algebra". Bulletin of the American Mathematical Society. 59: 1. arXiv:1908.03795. doi:10.1090/bull/1722. S2CID 213918682.
Coakley, Ed S. (May 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
Neymeyr, K. (2006), "A geometric theory for preconditioned inverse iteration IV: On the fastest convergence cases.", Linear Algebra Appl., 415 (1): 114–139, doi:10.1016/j.laa.2005.06.022
Chu, Moody T. (1988), "A Note on the Homotopy Method for Linear Algebraic Eigenvalue Problems", Linear Algebra Appl., 105: 225–236, doi:10.1016/0024-3795(88)90015-8
Dhillon, Inderjit S.; Parlett, Beresford N.; Vömel, Christof (2006), "The Design and Implementation of the MRRR Algorithm" (PDF), ACM Transactions on Mathematical Software, 32 (4): 533–560, doi:10.1145/1186785.1186788, S2CID 2410736
Smith, Oliver K. (April 1961), "Eigenvalues of a symmetric 3 × 3 matrix.", Communications of the ACM, 4 (4): 168, doi:10.1145/355578.366316, S2CID 37815415

jstor.org (Global: 23^rd place; English: 15^th place)

Axler, Sheldon (1995), "Down with Determinants!" (PDF), American Mathematical Monthly, 102 (2): 139–154, doi:10.2307/2975348, JSTOR 2975348, archived from the original (PDF) on 2012-09-13, retrieved 2012-07-31

mlr.press (Global: low place; English: low place)

proceedings.mlr.press

Delattre, B.; Barthélemy, Q.; Araujo, A.; Allauzen, A. (2023), "Efficient Bound of Lipschitz Constant for Convolutional Layers by Gram Iteration", Proceedings of the 40th International Conference on Machine Learning: 7513–7532

ncsu.edu (Global: 2,653^rd place; English: 1,525^th place)

lib.ncsu.edu

S.C. Eisenstat; I.C.F. Ipsen (1998), "Relative Perturbation Results for Eigenvalues and Eigenvectors of Diagonalisable Matrices", BIT, 38 (3): 502–9, doi:10.1007/bf02510256, S2CID 119886389

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

api.semanticscholar.org

F. L. Bauer; C. T. Fike (1960), "Norms and exclusion theorems", Numer. Math., 2: 137–141, doi:10.1007/bf01386217, S2CID 121278235
S.C. Eisenstat; I.C.F. Ipsen (1998), "Relative Perturbation Results for Eigenvalues and Eigenvectors of Diagonalisable Matrices", BIT, 38 (3): 502–9, doi:10.1007/bf02510256, S2CID 119886389
Forrester PJ, Zhang J (2021). "Corank-1 projections and the randomised Horn problem". Tunisian Journal of Mathematics. 3: 55–73. arXiv:1905.05314. doi:10.2140/tunis.2021.3.55. S2CID 153312446.
Denton PB, Parke SJ, Tao T, Zhang X (2021). "Eigenvectors from eigenvalues: A survey of a basic identity in linear algebra". Bulletin of the American Mathematical Society. 59: 1. arXiv:1908.03795. doi:10.1090/bull/1722. S2CID 213918682.
Dhillon, Inderjit S.; Parlett, Beresford N.; Vömel, Christof (2006), "The Design and Implementation of the MRRR Algorithm" (PDF), ACM Transactions on Mathematical Software, 32 (4): 533–560, doi:10.1145/1186785.1186788, S2CID 2410736
Smith, Oliver K. (April 1961), "Eigenvalues of a symmetric 3 × 3 matrix.", Communications of the ACM, 4 (4): 168, doi:10.1145/355578.366316, S2CID 37815415

utexas.edu (Global: 868^th place; English: 634^th place)

cs.utexas.edu

Dhillon, Inderjit S.; Parlett, Beresford N.; Vömel, Christof (2006), "The Design and Implementation of the MRRR Algorithm" (PDF), ACM Transactions on Mathematical Software, 32 (4): 533–560, doi:10.1145/1186785.1186788, S2CID 2410736

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

Axler, Sheldon (1995), "Down with Determinants!" (PDF), American Mathematical Monthly, 102 (2): 139–154, doi:10.2307/2975348, JSTOR 2975348, archived from the original (PDF) on 2012-09-13, retrieved 2012-07-31

Eigenvalue algorithm (English Wikipedia)

archive.org (Global: 6th place; English: 6th place)

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