The DOI matches its Crossref record; 38 of the 38 references it cites were found in a registry or an index.
On the Early History of the Singular Value Decomposition
Abstract
This paper surveys the contributions of five mathematicians—Eugenio Beltrami (1835–1899), Camille Jordan (1838–1921), James Joseph Sylvester (1814–1897), Erhard Schmidt (1876–1959), and Hermann Weyl (1885–1955)—who were responsible for establishing the existence of the singular value decomposition and developing its theory.
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Cites
Analysis of a complex of statistical variables into principal components.
Hotelling, H. (1933) · Journal of Educational Psychology · doi:10.1037/h0071325 · Cited by 9,633
Horn, R. A., & Johnson, C. R. (1991) · Cambridge University Press eBooks · doi:10.1017/cbo9780511840371 · Cited by 9,319
Gantmacher, F. R. (1984) · UCLA - Biblioteca de Ciencias y Tecnologia Felix Morales Bueno · Cited by 8,520
RELATIONS BETWEEN TWO SETS OF VARIATES
HOTELLING, H. (1936) · Biometrika · doi:10.1093/biomet/28.3-4.321 · Cited by 5,263
A generalized inverse for matrices
Penrose, R. (1955) · Mathematical Proceedings of the Cambridge Philosophical Society · doi:10.1017/s0305004100030401 · Cited by 4,551
The Approximation of One Matrix by Another of Lower Rank
Eckart, C., & Young, G. (1936) · Psychometrika · doi:10.1007/bf02288367 · Cited by 3,800
Singular value decomposition and least squares solutions
Golub, G. H., & Reinsch, C. (1970) · Numerische Mathematik · doi:10.1007/bf02163027 · Cited by 2,929
(1991) · Mathematics and Computers in Simulation · doi:10.1016/0378-4754(91)90038-5 · Cited by 2,437
Introduction to the theory of linear nonselfadjoint operators
Крейн, M. Г., & Gohberg, I. (1969) · American Mathematical Society eBooks · Cited by 2,198
A Generalized Solution of the Orthogonal Procrustes Problem
Schönemann, P. H. (1966) · Psychometrika · doi:10.1007/bf02289451 · Cited by 2,040
Cited by
Abdi, H., & Williams, L. J. (2010) · WIREs Computational Statistics · doi:10.1002/wics.101 · Cited by 11,104
Hill, D. L. G., Batchelor, P. G., Holden, M., & Hawkes, D. J. (2001) · Physics in Medicine and Biology · doi:10.1088/0031-9155/46/3/201 · Cited by 2,093
OpenMolcas: From Source Code to Insight
Fdez. Galván, I., Vacher, M., Alavi, A., Angeli, C., Aquilante, F., Autschbach, J., Bao, J. J., Bokarev, S. I., Bogdanov, N. A., Carlson, R. K., et al. (2019) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.9b00532 · Cited by 1,114
Eigenvalue computation in the 20th century
Golub, G. H., & van der Vorst, H. A. (2000) · Journal of Computational and Applied Mathematics · doi:10.1016/s0377-0427(00)00413-1 · Cited by 388
Meulman, J., van Der Kooij, A., & Heiser, W. (2004) · The SAGE Handbook of Quantitative Methodology for the Social Sciences · doi:10.4135/9781412986311.n3 · Cited by 293
Metadata
- Authors
- Stewart, G. W.
- Venue
- SIAM Review
- Published
- 1993-12
- Volume
- 35
- Issue
- 4
- Pages
- 551-566
- ISSN
- 0036-1445 (ISSN-L)
- 1095-7200
- OpenAlex
- W1972949070
- Cited by
- 985
- References
- 38
- FWCI
- 6.02
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
