TY - BOOK AU - Weinert,Howard L. ED - SpringerLink (Online service) TI - Fast Compact Algorithms and Software for Spline Smoothing T2 - SpringerBriefs in Computer Science, SN - 9781461454960 AV - QA276-280 U1 - 519.5 23 PY - 2013/// CY - New York, NY PB - Springer New York, Imprint: Springer KW - Statistics KW - Computer mathematics KW - Computer software KW - Applied mathematics KW - Engineering mathematics KW - Statistics and Computing/Statistics Programs KW - Signal, Image and Speech Processing KW - Computational Science and Engineering KW - Appl.Mathematics/Computational Methods of Engineering KW - Mathematical Software N1 - Introduction -- Cholesky Algorithm -- QR Algorithm -- FFT Algorithm -- Discrete Spline Smoothing N2 - Fast Compact Algorithms and Software for Spline Smoothing investigates algorithmic alternatives for computing cubic smoothing splines when the amount of smoothing is determined automatically by minimizing the generalized cross-validation score. These algorithms are based on Cholesky factorization, QR factorization, or the fast Fourier transform. All algorithms are implemented in MATLAB and are compared based on speed, memory use, and accuracy. An overall best algorithm is identified, which allows very large data sets to be processed quickly on a personal computer UR - http://dx.doi.org/10.1007/978-1-4614-5496-0 ER -