Open Access

Singular Value Decomposition Approaches in A Correspondence Analysis with The Use of R


Cite

Anderson, E.B. (1991). The statistical analysis of categorical data. Berlin: Spinger-Verlag..10.1007/978-3-642-97353-6Search in Google Scholar

Beltrami, E. (1873). Sulle Funzioni Bilineari. Giornale di Matematiche ud uso Degli Studenti Delle Universita, 11, 98‒106.Search in Google Scholar

Borg, I., Groenen, P. (1997). Modern multidimensional scaling. Theory and application. New York: Spinger-Verlag.10.1007/978-1-4757-2711-1Search in Google Scholar

Chambers, J.M. (1977). Computational methods for data analysis. New York: Wiley.Search in Google Scholar

Clausen, S.E. (1998). Applied correspondence analysis. An introduction. Thousand Oaks: Sage Publications.10.4135/9781412983426Search in Google Scholar

Eckart, C., Young, G. (1936). The approximation of one matrix by an-other of lower rank. Psychometrika, 1, 211‒218.10.1007/BF02288367Search in Google Scholar

Fisher R.A. (1940). The precision of discriminant functions. Annals of Eugenics, 10, 422‒429.10.1111/j.1469-1809.1940.tb02264.xSearch in Google Scholar

Gabriel, K.R. (1978). Least-squares approximation of matrices by additive and multiplicative models. J. R. Statist. Soc. B, 40, 186‒196.10.1111/j.2517-6161.1978.tb01663.xSearch in Google Scholar

Good, I.J. (1969). Some applications of the singular decomposition of a matrix. Technometrics, 11, 823‒831.10.1080/00401706.1969.10490741Search in Google Scholar

Green, P.E., Carroll, J.D. (1976). Mathematical tools for applied multivariate analysis. New York: Academic Press.Search in Google Scholar

Greenacre, M., Underhill, L.G. (1982). Scaling a data matrix in low-dimensional Euclidean space. In: D.M. Hawkins, Topics in applied multivariate analysis (pp. 183‒268). UK: Cambridge University Press.10.1017/CBO9780511897375.005Search in Google Scholar

Greenacre, M.J. (1984). Theory and applications of correspondence analysis. London: Academic Press.Search in Google Scholar

Greenacre, M.J. (2010). Biplots in Practice. Fundacion BBVA.Search in Google Scholar

Heijden VanDer, P.G.M. (1987). Correspondence analysis of longitudinal categorical data. Leiden: DSWO Press.Search in Google Scholar

Horst, P. (1936). Obtaining a composite measure from a number of dif-ferent measures of the same attribute. Psychometrika, 1, 53‒60.10.1007/BF02287924Search in Google Scholar

Jobson, J.D. (1992). Applied multivariate data analysis Vol. II: Categorical and multivariate methods. New York: Spinger-Verlag.10.1007/978-1-4612-0921-8Search in Google Scholar

Jordan, C. (1874). Memoire sur les formes bilineaires. Journal de Mathematiques Pures et Appliquees, Deuxieme Serie, 19, 37‒39.Search in Google Scholar

Korobeynikov, A, Larsen, R.M. (2016). svd: Interfaces to Various State-of-Art SVD and Eigensolvers R package version 0.4. Retrieved from: https://CRAN.R-project.org/package=svd.Search in Google Scholar

Kshirsagar, A.M. (1972). Multivariate analysis. New York: Marcel Dekker.Search in Google Scholar

Marshal, A., Olkin, I. (1979). Inequalities: theory of majorization and its applications. New York: Academic Press.Search in Google Scholar

Rao, C.R. (1980). Matrix approximation and reduction of dimensional-ity in multivariate statistical analysis. In: P.R. Krishnaiah (ed.), Multivariate analysis V (pp. 3‒22). North Holland, Amsterdam.Search in Google Scholar

Stewart, G.W. (1993). On the Early History of the Singular Value Decomposition. SIAM Review, 4 (35), 551–566.10.1137/1035134Search in Google Scholar

Qiu, Y., Mei, J., Guennebaud, G., Niesen, J., (2016). RSpectra: Solvers for Large Scale Eigenvalue and SVD Problems.R package version 0.12-0. Retrieved from: https://CRAN.R-project.org/package=RSpectra.Search in Google Scholar

Voronin, S., Martinsson, P.G. (2015). RSVDPACK: Subroutines for Computing Partial Singular Value Decompositions via Randomized Sampling on Single Core, Multi Core, and GPU Architectures. arXiv preprint (pp. 1–15). Retrieved from: http://arxiv.org/abs/1502.05366.Search in Google Scholar

eISSN:
1898-0198
Language:
English
Publication timeframe:
2 times per year
Journal Subjects:
Business and Economics, Political Economics, other