×

A comment on the orthogonalization of B-spline basis functions and their derivatives. (English) Zbl 1322.62034


MSC:

62-07 Data analysis (statistics) (MSC2010)
62H25 Factor analysis and principal components; correspondence analysis
65D07 Numerical computation using splines
Full Text: DOI

References:

[1] Goodman, T.N.T., Micchelli, C.A., Rodriguez, G., Seatzu, S.: On the Cholesky factorization of the Gram Matrix of Locally supported functions. BIT Numer. Math. 35, 233–257 (1995) · Zbl 0833.15010 · doi:10.1007/BF01737164
[2] Innocenti, A., Rodriguez, G., Seatzu, S.: Orthogonal splines with applications to integral equations of the first kind and multivariate best approximation. Report CRS4-APPMATH-93-15, CRS4, Cagliari, Italy (1993)
[3] Mason, J.C., Rodriguez, G., Seatzu, S.: Orthogonal splines with applications to least squares, smoothing and regularization problems. Numer. Algorithms 5, 25–40 (1993) · Zbl 0798.65013 · doi:10.1007/BF02109281
[4] Qin, K.: General matrix representations for B-splines. Vis. Comput. 16, 177–186 (2000) · doi:10.1007/s003710050206
[5] R Development Core Team: The Comprehensive R Archive Network. http://cran.r-project.org/web/packages/orthogonalsplinebasis/index.html (2009). Accessed 6 April 2009
[6] Zhou, L., Huang, J.Z., Carroll, R.J.: Joint modeling of paired sparse functional data using principal components. Biometrika 95, 601–619 (2008) · Zbl 1437.62676 · doi:10.1093/biomet/asn035
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.