Kaczmarz method (English Wikipedia)

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

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9doi.org

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6semanticscholar.org

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4harvard.edu

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3nih.gov

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2books.google.com

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1berkeley.edu

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arxiv.org

Strohmer & Vershynin (2009) Strohmer, Thomas; Vershynin, Roman (2009), "A randomized Kaczmarz algorithm for linear systems with exponential convergence" (PDF), Journal of Fourier Analysis and Applications, 15 (2): 262–278, arXiv:math/0702226, doi:10.1007/s00041-008-9030-4, S2CID 1903919
Needell, Srebro & Ward (2015) Needell, Deanna; Srebro, Nati; Ward, Rachel (2015), "Stochastic gradient descent, weighted sampling, and the randomized Kaczmarz algorithm", Mathematical Programming, 155 (1–2): 549–573, arXiv:1310.5715, doi:10.1007/s10107-015-0864-7, S2CID 2370209
Bass & Gröchenig (2013) Bass, Richard F.; Gröchenig, Karlheinz (2013), "Relevant sampling of band-limited functions", Illinois Journal of Mathematics, 57 (1): 43–58, arXiv:1203.0146, doi:10.1215/ijm/1403534485, S2CID 42705738
Gower & Richtarik (2015a) Gower, Robert; Richtarik, Peter (2015a), "Randomized iterative methods for linear systems", SIAM Journal on Matrix Analysis and Applications, 36 (4): 1660–1690, arXiv:1506.03296, doi:10.1137/15M1025487, S2CID 8215294
Gower & Richtarik (2015b) Gower, Robert; Richtarik, Peter (2015b), "Stochastic dual ascent for solving linear systems", arXiv:1512.06890 [math.NA]
Brust & Saunders (2023) Brust, Johannes J; Saunders, Michael A (2023), "PLSS: A Projected Linear Systems Solver", SIAM Journal on Scientific Computing, 45 (2): A1012 – A1037, arXiv:2207.07615, Bibcode:2023SJSC...45A1012B, doi:10.1137/22M1509783

berkeley.edu

eecs.berkeley.edu

Strohmer & Vershynin (2009) Strohmer, Thomas; Vershynin, Roman (2009), "A randomized Kaczmarz algorithm for linear systems with exponential convergence" (PDF), Journal of Fourier Analysis and Applications, 15 (2): 262–278, arXiv:math/0702226, doi:10.1007/s00041-008-9030-4, S2CID 1903919

books.google.com

Herman (2009) Herman, Gabor (2009), Fundamentals of computerized tomography: Image reconstruction from projection (2nd ed.), Springer, ISBN 9781846287237
See Herman (2009) and references therein. Herman, Gabor (2009), Fundamentals of computerized tomography: Image reconstruction from projection (2nd ed.), Springer, ISBN 9781846287237

doi.org

Gordon, Bender & Herman (1970) Gordon, Richard; Bender, Robert; Herman, Gabor (1970), "Algebraic reconstruction techniques (ART) for threedimensional electron microscopy and x-ray photography", Journal of Theoretical Biology, 29 (3): 471–481, Bibcode:1970JThBi..29..471G, doi:10.1016/0022-5193(70)90109-8, PMID 5492997
Strohmer & Vershynin (2009) Strohmer, Thomas; Vershynin, Roman (2009), "A randomized Kaczmarz algorithm for linear systems with exponential convergence" (PDF), Journal of Fourier Analysis and Applications, 15 (2): 262–278, arXiv:math/0702226, doi:10.1007/s00041-008-9030-4, S2CID 1903919
Needell, Srebro & Ward (2015) Needell, Deanna; Srebro, Nati; Ward, Rachel (2015), "Stochastic gradient descent, weighted sampling, and the randomized Kaczmarz algorithm", Mathematical Programming, 155 (1–2): 549–573, arXiv:1310.5715, doi:10.1007/s10107-015-0864-7, S2CID 2370209
Censor, Herman & Jiang (2009) Censor, Yair; Herman, Gabor; Jiang, M. (2009), "A note on the behavior of the randomized Kaczmarz algorithm of Strohmer and Vershynin", Journal of Fourier Analysis and Applications, 15 (4): 431–436, Bibcode:2009JFAA...15..431C, doi:10.1007/s00041-009-9077-x, PMC 2872793, PMID 20495623
Strohmer & Vershynin (2009b) Strohmer, Thomas; Vershynin, Roman (2009b), "Comments on the randomized Kaczmarz method", Journal of Fourier Analysis and Applications, 15 (4): 437–440, Bibcode:2009JFAA...15..437S, doi:10.1007/s00041-009-9082-0, S2CID 14806325
Bass & Gröchenig (2013) Bass, Richard F.; Gröchenig, Karlheinz (2013), "Relevant sampling of band-limited functions", Illinois Journal of Mathematics, 57 (1): 43–58, arXiv:1203.0146, doi:10.1215/ijm/1403534485, S2CID 42705738
Gordon (2017) Gordon, Dan (2017), "A derandomization approach to recovering bandlimited signals across a wide range of random sampling rates", Numerical Algorithms, 77 (4): 1141–1157, doi:10.1007/s11075-017-0356-3, S2CID 1794974
Gower & Richtarik (2015a) Gower, Robert; Richtarik, Peter (2015a), "Randomized iterative methods for linear systems", SIAM Journal on Matrix Analysis and Applications, 36 (4): 1660–1690, arXiv:1506.03296, doi:10.1137/15M1025487, S2CID 8215294
Brust & Saunders (2023) Brust, Johannes J; Saunders, Michael A (2023), "PLSS: A Projected Linear Systems Solver", SIAM Journal on Scientific Computing, 45 (2): A1012 – A1037, arXiv:2207.07615, Bibcode:2023SJSC...45A1012B, doi:10.1137/22M1509783

harvard.edu

ui.adsabs.harvard.edu

Gordon, Bender & Herman (1970) Gordon, Richard; Bender, Robert; Herman, Gabor (1970), "Algebraic reconstruction techniques (ART) for threedimensional electron microscopy and x-ray photography", Journal of Theoretical Biology, 29 (3): 471–481, Bibcode:1970JThBi..29..471G, doi:10.1016/0022-5193(70)90109-8, PMID 5492997
Censor, Herman & Jiang (2009) Censor, Yair; Herman, Gabor; Jiang, M. (2009), "A note on the behavior of the randomized Kaczmarz algorithm of Strohmer and Vershynin", Journal of Fourier Analysis and Applications, 15 (4): 431–436, Bibcode:2009JFAA...15..431C, doi:10.1007/s00041-009-9077-x, PMC 2872793, PMID 20495623
Strohmer & Vershynin (2009b) Strohmer, Thomas; Vershynin, Roman (2009b), "Comments on the randomized Kaczmarz method", Journal of Fourier Analysis and Applications, 15 (4): 437–440, Bibcode:2009JFAA...15..437S, doi:10.1007/s00041-009-9082-0, S2CID 14806325
Brust & Saunders (2023) Brust, Johannes J; Saunders, Michael A (2023), "PLSS: A Projected Linear Systems Solver", SIAM Journal on Scientific Computing, 45 (2): A1012 – A1037, arXiv:2207.07615, Bibcode:2023SJSC...45A1012B, doi:10.1137/22M1509783

nih.gov

pubmed.ncbi.nlm.nih.gov

Gordon, Bender & Herman (1970) Gordon, Richard; Bender, Robert; Herman, Gabor (1970), "Algebraic reconstruction techniques (ART) for threedimensional electron microscopy and x-ray photography", Journal of Theoretical Biology, 29 (3): 471–481, Bibcode:1970JThBi..29..471G, doi:10.1016/0022-5193(70)90109-8, PMID 5492997
Censor, Herman & Jiang (2009) Censor, Yair; Herman, Gabor; Jiang, M. (2009), "A note on the behavior of the randomized Kaczmarz algorithm of Strohmer and Vershynin", Journal of Fourier Analysis and Applications, 15 (4): 431–436, Bibcode:2009JFAA...15..431C, doi:10.1007/s00041-009-9077-x, PMC 2872793, PMID 20495623

ncbi.nlm.nih.gov

Censor, Herman & Jiang (2009) Censor, Yair; Herman, Gabor; Jiang, M. (2009), "A note on the behavior of the randomized Kaczmarz algorithm of Strohmer and Vershynin", Journal of Fourier Analysis and Applications, 15 (4): 431–436, Bibcode:2009JFAA...15..431C, doi:10.1007/s00041-009-9077-x, PMC 2872793, PMID 20495623

semanticscholar.org

api.semanticscholar.org

Strohmer & Vershynin (2009) Strohmer, Thomas; Vershynin, Roman (2009), "A randomized Kaczmarz algorithm for linear systems with exponential convergence" (PDF), Journal of Fourier Analysis and Applications, 15 (2): 262–278, arXiv:math/0702226, doi:10.1007/s00041-008-9030-4, S2CID 1903919
Needell, Srebro & Ward (2015) Needell, Deanna; Srebro, Nati; Ward, Rachel (2015), "Stochastic gradient descent, weighted sampling, and the randomized Kaczmarz algorithm", Mathematical Programming, 155 (1–2): 549–573, arXiv:1310.5715, doi:10.1007/s10107-015-0864-7, S2CID 2370209
Strohmer & Vershynin (2009b) Strohmer, Thomas; Vershynin, Roman (2009b), "Comments on the randomized Kaczmarz method", Journal of Fourier Analysis and Applications, 15 (4): 437–440, Bibcode:2009JFAA...15..437S, doi:10.1007/s00041-009-9082-0, S2CID 14806325
Bass & Gröchenig (2013) Bass, Richard F.; Gröchenig, Karlheinz (2013), "Relevant sampling of band-limited functions", Illinois Journal of Mathematics, 57 (1): 43–58, arXiv:1203.0146, doi:10.1215/ijm/1403534485, S2CID 42705738
Gordon (2017) Gordon, Dan (2017), "A derandomization approach to recovering bandlimited signals across a wide range of random sampling rates", Numerical Algorithms, 77 (4): 1141–1157, doi:10.1007/s11075-017-0356-3, S2CID 1794974
Gower & Richtarik (2015a) Gower, Robert; Richtarik, Peter (2015a), "Randomized iterative methods for linear systems", SIAM Journal on Matrix Analysis and Applications, 36 (4): 1660–1690, arXiv:1506.03296, doi:10.1137/15M1025487, S2CID 8215294