File: Lanczos3EM.txt

URL Reference: http://www.itl.nist.gov/div898/strd/nls/data/lanczos3.shtml

Dataset Name:  Lanczos3          (Lanczos3.dat)

Description:   These data are taken from an example discussed in
               Lanczos (1956).  The data were generated to 5-digits
               of accuracy using
               f(x) = 0.0951*exp(-x) + 0.8607*exp(-3*x) 
                                     + 1.5576*exp(-5*x).

Reference:     Lanczos, C. (1956).
               Applied Analysis.
               Englewood Cliffs, NJ:  Prentice Hall, pp. 272-280.

Data:   y           x
       2.5134E+00  0.00000E+00
       2.0443E+00  5.00000E-02
       1.6684E+00  1.00000E-01
       1.3664E+00  1.50000E-01
       1.1232E+00  2.00000E-01
       0.9269E+00  2.50000E-01
       0.7679E+00  3.00000E-01
       0.6389E+00  3.50000E-01
       0.5338E+00  4.00000E-01
       0.4479E+00  4.50000E-01
       0.3776E+00  5.00000E-01
       0.3197E+00  5.50000E-01
       0.2720E+00  6.00000E-01
       0.2325E+00  6.50000E-01
       0.1997E+00  7.00000E-01
       0.1723E+00  7.50000E-01
       0.1493E+00  8.00000E-01
       0.1301E+00  8.50000E-01
       0.1138E+00  9.00000E-01
       0.1000E+00  9.50000E-01
       0.0883E+00  1.00000E+00
       0.0783E+00  1.05000E+00
       0.0698E+00  1.10000E+00
       0.0624E+00  1.15000E+00

Mathematica Lists:
xLst = { 0, 0.05, 0.10, 0.15, 0.20, 0.25, 0.30, 0.35, 0.40, 0.45, 0.50, 0.55, 0.60, 0.65, 0.70, 0.75, 0.80, 0.85, 0.90, 0.95, 1.0, 1.05, 1.10, 1.15};

yLst = {2.5134, 2.0443, 1.6684, 1.3664, 1.1232, 0.92690, 0.76790, 0.63890, 0.53380, 0.44790, 0.37760, 0.31970, 0.27200, 0.23250, 0.19970, 0.17230, 0.14930, 0.13010, 0.11380, 0.10000, 0.088300, 0.078300, 0.069800, 0.062400};

Maple Lists:
xLst := [ 0, 0.05, 0.10, 0.15, 0.20, 0.25, 0.30, 0.35, 0.40, 0.45, 0.50, 0.55, 0.60, 0.65, 0.70, 0.75, 0.80, 0.85, 0.90, 0.95, 1.0, 1.05, 1.10, 1.15]:

yLst := [2.5134, 2.0443, 1.6684, 1.3664, 1.1232, 0.92690, 0.76790, 0.63890, 0.53380, 0.44790, 0.37760, 0.31970, 0.27200, 0.23250, 0.19970, 0.17230, 0.14930, 0.13010, 0.11380, 0.10000, 0.088300, 0.078300, 0.069800, 0.062400]:

MATLAB Row Vectors:
xLst = [ 0, 0.05, 0.10, 0.15, 0.20, 0.25, 0.30, 0.35, 0.40, 0.45, 0.50, 0.55, 0.60, 0.65, 0.70, 0.75, 0.80, 0.85, 0.90, 0.95, 1.0, 1.05, 1.10, 1.15];

yLst = [2.5134, 2.0443, 1.6684, 1.3664, 1.1232, 0.92690, 0.76790, 0.63890, 0.53380, 0.44790, 0.37760, 0.31970, 0.27200, 0.23250, 0.19970, 0.17230, 0.14930, 0.13010, 0.11380, 0.10000, 0.088300, 0.078300, 0.069800, 0.062400];