References for the Rational Spline Program

The first item is the principal reference for the RSPLINE program.

1. Schiess, James R.; and Kerr, Patricia A.: Rational-Spline Approximation With Automatic Tension Adjustment. NASA Technical Paper 2366, October 1984.
2. Hauck, Walter W., Jr.: Foundations for Estimation by the Method of Least Squares. Spec. Rep. No. 340, Smithsonian Astrophysical Observatory, Dec. 27, 1971. (Available as NASA Contractor Report 125549.)
3. Ahlberg, J. H.; Nilson, E. N.; and Walsh, J. L.: The Theory of Splines and Their Applications. Academic Press, Inc., c.1967.
4. Prenter, P. M.: Splines and Variational Methods. John Wiley & Sons, Inc., c.1975.
5. Cline, A. K.: Scalar- and Planar-Valued Curve Fitting Using Splines Under Tension. Communications of the ACM, vol. 17, no. 4, Apr. 1974, pp. 218-220.
6. Spath, Helmuth (W. D. Hoskins and H. W. Sager, transl.): Spline Algorithms for Curves and Surfaces. Utilitas Mathematica Pub. Inc., 1974.
7. Frost, Charles E.; and Kinzel, Gary L.: An Automatic Adjustment Procedure for Rational Splines. Computing and Graphics, vol. 6, no. 4, 1982, pp. 171-176.
8. Reinsch, C. H.: Smoothing by Spline Functions. Numerical Mathematics, vol. 10, no. 3, 1967, pp. 177-183.
9. Smith, Robert E., Jr.; Price, Joseph M.; and Howser, Lona M.: A Smoothing Algorithm Using Cubic Spline Functions. NASA Technical Note D-7397, 1974.
10. Brent, R. P.: An Algorithm With Guaranteed Convergence for Finding a Zero of a Function. Computer Journal, vol. 14, no. 4, Nov. 1971, pp. 422-425.
11. Knott, Gary D.: Interpolating Cubic Splines. Birkhäuser, 1999.
12. deBoor,Carl: A Practical Guide to Splines. Springer-Verlag, 1978.