Conjugate gradient method (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Conjugate gradient method" in English language version.

refsWebsite

Global rank English rank

8doi.org

2^nd place

4arxiv.org

69^th place

59^th place

2worldcat.org

5^th place

2psu.edu

207^th place

136^th place

2semanticscholar.org

11^th place

8^th place

1nist.gov

355^th place

454^th place

1handle.net

102^nd place

76^th place

1researchgate.net

120^th place

125^th place

1wiley.com

222^nd place

297^th place

1cmu.edu

1,564^th place

1,028^th place

1archive.org

6^th place

1netlib.org

low place

1escholarship.org

1,523^rd place

976^th place

1gatech.edu

4,448^th place

2,923^rd place

1random-matrix-learning.github.io

low place

archive.org

Saad, Yousef (2003). Iterative methods for sparse linear systems (2nd ed.). Philadelphia, Pa.: Society for Industrial and Applied Mathematics. pp. 195. ISBN 978-0-89871-534-7.

arxiv.org

Paquette, Elliot; Trogdon, Thomas (March 2023). "Universality for the Conjugate Gradient and MINRES Algorithms on Sample Covariance Matrices". Communications on Pure and Applied Mathematics. 76 (5): 1085–1136. arXiv:2007.00640. doi:10.1002/cpa.22081. ISSN 0010-3640.
Bouwmeester, Henricus; Dougherty, Andrew; Knyazev, Andrew V. (2015). "Nonsymmetric Preconditioning for Conjugate Gradient and Steepest Descent Methods 1". Procedia Computer Science. 51: 276–285. arXiv:1212.6680. doi:10.1016/j.procs.2015.05.241. S2CID 51978658.
Knyazev, Andrew V.; Lashuk, Ilya (2008). "Steepest Descent and Conjugate Gradient Methods with Variable Preconditioning". SIAM Journal on Matrix Analysis and Applications. 29 (4): 1267. arXiv:math/0605767. doi:10.1137/060675290. S2CID 17614913.
Ross, I. M., "An Optimal Control Theory for Accelerated Optimization," arXiv:1902.09004, 2019.

cmu.edu

cs.cmu.edu

Shewchuk, Jonathan R (1994). An Introduction to the Conjugate Gradient Method Without the Agonizing Pain (PDF).

doi.org

Hestenes, Magnus R.; Stiefel, Eduard (December 1952). "Methods of Conjugate Gradients for Solving Linear Systems" (PDF). Journal of Research of the National Bureau of Standards. 49 (6): 409. doi:10.6028/jres.049.044.
Greenbaum, Anne (1997). Iterative Methods for Solving Linear Systems. doi:10.1137/1.9781611970937. ISBN 978-0-89871-396-1.
Paquette, Elliot; Trogdon, Thomas (March 2023). "Universality for the Conjugate Gradient and MINRES Algorithms on Sample Covariance Matrices". Communications on Pure and Applied Mathematics. 76 (5): 1085–1136. arXiv:2007.00640. doi:10.1002/cpa.22081. ISSN 0010-3640.
Concus, P.; Golub, G. H.; Meurant, G. (1985). "Block Preconditioning for the Conjugate Gradient Method". SIAM Journal on Scientific and Statistical Computing. 6 (1): 220–252. doi:10.1137/0906018.
Golub, Gene H.; Ye, Qiang (1999). "Inexact Preconditioned Conjugate Gradient Method with Inner-Outer Iteration". SIAM Journal on Scientific Computing. 21 (4): 1305. CiteSeerX 10.1.1.56.1755. doi:10.1137/S1064827597323415.
Notay, Yvan (2000). "Flexible Conjugate Gradients". SIAM Journal on Scientific Computing. 22 (4): 1444–1460. CiteSeerX 10.1.1.35.7473. doi:10.1137/S1064827599362314.
Bouwmeester, Henricus; Dougherty, Andrew; Knyazev, Andrew V. (2015). "Nonsymmetric Preconditioning for Conjugate Gradient and Steepest Descent Methods 1". Procedia Computer Science. 51: 276–285. arXiv:1212.6680. doi:10.1016/j.procs.2015.05.241. S2CID 51978658.
Knyazev, Andrew V.; Lashuk, Ilya (2008). "Steepest Descent and Conjugate Gradient Methods with Variable Preconditioning". SIAM Journal on Matrix Analysis and Applications. 29 (4): 1267. arXiv:math/0605767. doi:10.1137/060675290. S2CID 17614913.

escholarship.org

Concus, P.; Golub, G. H.; Meurant, G. (1985). "Block Preconditioning for the Conjugate Gradient Method". SIAM Journal on Scientific and Statistical Computing. 6 (1): 220–252. doi:10.1137/0906018.

gatech.edu

www2.isye.gatech.edu

Nemirovsky and Ben-Tal (2023). "Optimization III: Convex Optimization" (PDF).

handle.net

hdl.handle.net

Straeter, T. A. (1971). On the Extension of the Davidon–Broyden Class of Rank One, Quasi-Newton Minimization Methods to an Infinite Dimensional Hilbert Space with Applications to Optimal Control Problems (PhD thesis). North Carolina State University. hdl:2060/19710026200 – via NASA Technical Reports Server.

netlib.org

Barrett, Richard; Berry, Michael; Chan, Tony F.; Demmel, James; Donato, June; Dongarra, Jack; Eijkhout, Victor; Pozo, Roldan; Romine, Charles; van der Vorst, Henk. Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods (PDF) (2nd ed.). Philadelphia, PA: SIAM. p. 13. Retrieved 2020-03-31.

nist.gov

nvlpubs.nist.gov

Hestenes, Magnus R.; Stiefel, Eduard (December 1952). "Methods of Conjugate Gradients for Solving Linear Systems" (PDF). Journal of Research of the National Bureau of Standards. 49 (6): 409. doi:10.6028/jres.049.044.

psu.edu

citeseerx.ist.psu.edu

Golub, Gene H.; Ye, Qiang (1999). "Inexact Preconditioned Conjugate Gradient Method with Inner-Outer Iteration". SIAM Journal on Scientific Computing. 21 (4): 1305. CiteSeerX 10.1.1.56.1755. doi:10.1137/S1064827597323415.
Notay, Yvan (2000). "Flexible Conjugate Gradients". SIAM Journal on Scientific Computing. 22 (4): 1444–1460. CiteSeerX 10.1.1.35.7473. doi:10.1137/S1064827599362314.

random-matrix-learning.github.io

Pennington, Fabian Pedregosa, Courtney Paquette, Tom Trogdon, Jeffrey. "Random Matrix Theory and Machine Learning Tutorial". random-matrix-learning.github.io. Retrieved 2023-12-05.{{cite web}}: CS1 maint: multiple names: authors list (link)

researchgate.net

Polyak, Boris (1987). Introduction to Optimization.

semanticscholar.org

api.semanticscholar.org

Bouwmeester, Henricus; Dougherty, Andrew; Knyazev, Andrew V. (2015). "Nonsymmetric Preconditioning for Conjugate Gradient and Steepest Descent Methods 1". Procedia Computer Science. 51: 276–285. arXiv:1212.6680. doi:10.1016/j.procs.2015.05.241. S2CID 51978658.
Knyazev, Andrew V.; Lashuk, Ilya (2008). "Steepest Descent and Conjugate Gradient Methods with Variable Preconditioning". SIAM Journal on Matrix Analysis and Applications. 29 (4): 1267. arXiv:math/0605767. doi:10.1137/060675290. S2CID 17614913.

wiley.com

onlinelibrary.wiley.com

Paquette, Elliot; Trogdon, Thomas (March 2023). "Universality for the Conjugate Gradient and MINRES Algorithms on Sample Covariance Matrices". Communications on Pure and Applied Mathematics. 76 (5): 1085–1136. arXiv:2007.00640. doi:10.1002/cpa.22081. ISSN 0010-3640.

worldcat.org

search.worldcat.org

Paquette, Elliot; Trogdon, Thomas (March 2023). "Universality for the Conjugate Gradient and MINRES Algorithms on Sample Covariance Matrices". Communications on Pure and Applied Mathematics. 76 (5): 1085–1136. arXiv:2007.00640. doi:10.1002/cpa.22081. ISSN 0010-3640.
Hackbusch, W. (2016-06-21). Iterative solution of large sparse systems of equations (2nd ed.). Switzerland: Springer. ISBN 978-3-319-28483-5. OCLC 952572240.