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Recommended Reading
For Understanding the Background Work Leading up to Dr. I.B.C. Matheson's Robust Global Fittings as used in the OLIS RSM
Knutson, J.R., Beecham, J.M., Brand, I., Chem. Phys. Letters, 1983, 102, 501-507. Businger, P.A., Golub, G.H., CACM, 1969, 358. Press, W.H., Flannery, R.P., Teukolsky, S.A., Vetterling, W.T., Numerical Recipes, Ch. 2.9, Cambridge U Press, 1986. Maeder, M., Zuberbuhler, A.D., Analytical Chem., 1990, A2, 2220-2224. Savitzky, A., Golay, J.F., Analytical Chem., 1964, 36, 1627-1639. Bevington, P.R., Data Analysis and Error Reduction in the Physical Sciences, McGraw-Hill, New York, 1969. Matheson, I.B.C., Computers in Chemistry, 1989,13, 299-304. Matheson, I.B.C., Computers in Chemistry, 1990, 14, 49-57. Matheson, I.B.C., Analytical Instrumentation, 1987, 16, 345-373. Chambers, J.M., Cleveland, W.S., Kleiner, B., Tukey, P.A., Graphical Methods for Data Analysis, Ch. 6, 227, Wadsworth International, Belmont, Ca., 1983. Bates, D.M., Watts, D.G., Nonlinear Regression Analysis and its Applications, Wiley-Interscience, New York, 1988.
SVD is one of several methods for extracting eigenvalues and eigenvectors from multifunctional data. One of the best arguments for the selection of SVD over various competitors has been made by E.R. Malinowski, in his book Factor Analysis in Chemistry, 2nd Ed., Wiley-Interscience, N.Y., 1991, pp 18 ff and pp 58 ff. This book offers the most accessible bridge relatively arcane matrix mathematics and their application and explanation of SVD to biochemical problems is due to: Shrager, R.I., Chemometrics Intell. Lab. System (1986), 1, 59-70. Brand and co-workers have had applied global analysis to a variety of physical systems. These have been referenced by Maeder and Zuberbuhler, reference 4 above.
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